Richard Timothy Durrett
James B. Duke Distinguished Professor of Mathematics
Current Research Interests
My favorite research topics are problems in probability that arise from questions in ecology, genetics, and cancer modeling. I also investigate processes taking place on complex networks (aka random graphs).
Current Appointments & Affiliations
- James B. Duke Distinguished Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2010
- Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2010
Contact Information
- 120 Science Drive, Durham, NC 27708-0320
- Dept of Math, Box 90320, Durham, NC 27708-0320
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rtd@math.duke.edu
(919) 660-6970
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www.math.duke.edu/~rtd/
- Background
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Education, Training, & Certifications
- Ph.D., Stanford University 1976
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Previous Appointments & Affiliations
- Director of Graduate Studies in the Department of Mathematics, Mathematics, Trinity College of Arts & Sciences 2014 - 2018
- Recognition
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In the News
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JAN 10, 2023 Duke Research Blog -
MAR 16, 2016 -
NOV 4, 2015 Scientific Computing -
NOV 2, 2015 -
MAR 26, 2015 Bioscience Technology -
SEP 25, 2014 Duke Today -
SEP 23, 2014 -
FEB 20, 2013
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Awards & Honors
- Fellow. American Mathematical Society. 2013
- Fellow. American Association for the Advancement of Science. July 2009
- AAAS Fellows. American Academy of Arts and Sciences. 2007
- Member. National Academy of Science. 2007
- Fellows. American Academy of Arts and Sciences. 2002
- Fellowship. John Simon Guggenheim Memorial Foundation. 1988
- Centennial Fellowships. American Mathematical Society. 1984
- Expertise
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Subject Headings
- Research
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Selected Grants
- Four Challenging Probability Problems awarded by National Science Foundation 2022 - 2025
- Support for Southeastern Probability Conference awarded by National Science Foundation 2020 - 2024
- Voters, games, and epidemics on random graphs awarded by National Science Foundation 2018 - 2023
- Mathematical Analysis of Spatial Cancer Models awarded by National Science Foundation 2016 - 2020
- Collaborative Research: The role of spatial interactions in determining the distribution of savanna and forest awarded by National Science Foundation 2016 - 2019
- The Mathematics of Breast Cancer Overtreatment: Improving Treatment Choice through Effective Communication of Personalized Cancer Risk awarded by National Institutes of Health 2016 - 2018
- Interacting Particle Systems on Lattices and on Graphs awarded by National Science Foundation 2015 - 2018
- Biodiversity and Evolution - Support for US Participants awarded by National Science Foundation 2013 - 2015
- Stochastic Spatial Models: on Complex Networks, Coevolution, and Modeling Cancer awarded by National Science Foundation 2013 - 2015
- Mathematical Models of Cancer Initiation, Progression, and Resistance to Therapy awarded by National Institutes of Health 2010 - 2015
- Ecology, Evolution, and Random Graphs awarded by National Science Foundation 2010 - 2013
- Participant Support for Workshop for Women in Probability 2012 awarded by National Science Foundation 2012 - 2013
- Publications & Artistic Works
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Selected Publications
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Academic Articles
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Tung, Hwai-Ray, and Rick Durrett. “Competitive exclusion in a model with seasonality: Three species cannot coexist in an ecosystem with two seasons.” Theoretical Population Biology 148 (December 2022): 40–45. https://doi.org/10.1016/j.tpb.2022.09.002.Full Text
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Boyle, Laura, Sofia Hletko, Jenny Huang, June Lee, Gaurav Pallod, Hwai-Ray Tung, and Richard Durrett. “Selective sweeps in SARS-CoV-2 variant competition.” Proceedings of the National Academy of Sciences of the United States of America 119, no. 47 (November 2022): e2213879119. https://doi.org/10.1073/pnas.2213879119.Full Text
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Durrett, R., and D. Yao. “Susceptible–infected epidemics on evolving graphs.” Electronic Journal of Probability 27 (January 1, 2022): 1–66. https://doi.org/10.1214/22-EJP828.Full Text
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Huang, X., and R. Durrett. “Motion by mean curvature in interacting particle systems.” Probability Theory and Related Fields 181, no. 1–3 (November 1, 2021): 489–532. https://doi.org/10.1007/s00440-021-01082-0.Full Text
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Tung, Hwai-Ray, and Rick Durrett. “Signatures of neutral evolution in exponentially growing tumors: A theoretical perspective.” Plos Computational Biology 17, no. 2 (February 2021): e1008701. https://doi.org/10.1371/journal.pcbi.1008701.Full Text
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Agarwal, P., M. Simper, and R. Durrett. “The q-voter model on the torus.” Electronic Journal of Probability 26 (January 1, 2021). https://doi.org/10.1214/21-EJP682.Full Text
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Borowiak, Molly, Fayfay Ning, Justin Pei, Sarah Zhao, Hwai-Ray Tung, and Rick Durrett. “Controlling the spread of COVID-19 on college campuses.” Mathematical Biosciences and Engineering : Mbe 18, no. 1 (December 2020): 551–63. https://doi.org/10.3934/mbe.2021030.Full Text
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Cristali, I., M. Junge, and R. Durrett. “Poisson percolation on the oriented square lattice.” Stochastic Processes and Their Applications 130, no. 2 (February 1, 2020): 488–502. https://doi.org/10.1016/j.spa.2019.01.005.Full Text
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Durrett, R., M. Junge, and S. Tang. “Coexistence in chase-escape.” Electronic Communications in Probability 25 (January 1, 2020). https://doi.org/10.1214/20-ECP302.Full Text
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Huang, X., and R. Durrett. “The contact process on periodic trees.” Electronic Communications in Probability 25 (January 1, 2020). https://doi.org/10.1214/20-ECP305.Full Text
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Durrett, R., and D. Yao. “The symbiotic contact process.” Electronic Journal of Probability 25 (January 1, 2020). https://doi.org/10.1214/19-EJP402.Full Text
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Huang, X., and R. Durrett. “The contact process on random graphs and Galton Watson trees.” Alea (Rio De Janeiro) 17, no. 1 (January 1, 2020): 159–82. https://doi.org/10.30757/ALEA.v17-07.Full Text
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Huo, R., and R. Durrett. “The Zealot voter model.” Annals of Applied Probability 29, no. 5 (January 1, 2019): 3128–54. https://doi.org/10.1214/19-AAP1476.Full Text
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Wang, Zhuoqun, and Rick Durrett. “Extrapolating weak selection in evolutionary games.” Journal of Mathematical Biology 78, no. 1–2 (January 2019): 135–54. https://doi.org/10.1007/s00285-018-1270-6.Full Text
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Ma, R., and R. Durrett. “A simple evolutionary game arising from the study of the role of igf-II in pancreatic cancer.” Annals of Applied Probability 28, no. 5 (October 1, 2018): 2896–2921. https://doi.org/10.1214/17-AAP1378.Full Text
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Huo, R., and R. Durrett. “Latent voter model on locally tree-like random graphs.” Stochastic Processes and Their Applications 128, no. 5 (May 1, 2018): 1590–1614. https://doi.org/10.1016/j.spa.2017.08.004.Full Text Open Access Copy
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Talkington, Anne, Claudia Dantoin, and Rick Durrett. “Ordinary Differential Equation Models for Adoptive Immunotherapy.” Bulletin of Mathematical Biology 80, no. 5 (May 2018): 1059–83. https://doi.org/10.1007/s11538-017-0263-8.Full Text
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Basak, A., R. Durrett, and E. Foxall. “Diffusion limit for the partner model at the critical value.” Electronic Journal of Probability 23 (January 1, 2018). https://doi.org/10.1214/18-EJP229.Full Text
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Beckman, E., E. Dinan, R. Durrett, R. Huo, and M. Junge. “Asymptotic behavior of the brownian frog model.” Electronic Journal of Probability 23 (January 1, 2018). https://doi.org/10.1214/18-EJP215.Full Text Open Access Copy
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Nolen, J. H., I. Cristali, V. Ranjan, J. Steinberg, E. Beckman, R. Durrett, and M. Junge. “Block size in Geometric(p)-biased permutations.” Electronic Communications in Probability 23 (2018): 1–10. https://doi.org/10.1214/18-ECP182.Full Text Link to Item
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Lopatkin, Allison J., Hannah R. Meredith, Jaydeep K. Srimani, Connor Pfeiffer, Rick Durrett, and Lingchong You. “Persistence and reversal of plasmid-mediated antibiotic resistance.” Nature Communications 8, no. 1 (November 2017): 1689. https://doi.org/10.1038/s41467-017-01532-1.Full Text
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Gleeson, James P., and Rick Durrett. “Temporal profiles of avalanches on networks.” Nature Communications 8, no. 1 (October 2017): 1227. https://doi.org/10.1038/s41467-017-01212-0.Full Text
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Tomasetti, Cristian, Rick Durrett, Marek Kimmel, Amaury Lambert, Giovanni Parmigiani, Ann Zauber, and Bert Vogelstein. “Role of stem-cell divisions in cancer risk.” Nature 548, no. 7666 (August 2017): E13–14. https://doi.org/10.1038/nature23302.Full Text
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Bessonov, M., and R. Durrett. “Phase transitions for a planar quadratic contact process.” Advances in Applied Mathematics 87 (June 1, 2017): 82–107. https://doi.org/10.1016/j.aam.2017.01.002.Full Text
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Nanda, Mridu, and Richard Durrett. “Spatial evolutionary games with weak selection.” Proceedings of the National Academy of Sciences of the United States of America 114, no. 23 (June 2017): 6046–51. https://doi.org/10.1073/pnas.1620852114.Full Text
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Durrett, R., and W. T. L. Fan. “Genealogies in expanding populations.” Annals of Applied Probability 26, no. 6 (December 1, 2016): 3456–90. https://doi.org/10.1214/16-AAP1181.Full Text
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Ryser, Marc D., Mathias Worni, Elizabeth L. Turner, Jeffrey R. Marks, Rick Durrett, and E Shelley Hwang. “Outcomes of Active Surveillance for Ductal Carcinoma in Situ: A Computational Risk Analysis.” J Natl Cancer Inst 108, no. 5 (May 2016). https://doi.org/10.1093/jnci/djv372.Full Text Link to Item
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Durrett, R., J. Foo, and K. Leder. “Spatial Moran models, II: cancer initiation in spatially structured tissue.” Journal of Mathematical Biology 72, no. 5 (April 2016): 1369–1400. https://doi.org/10.1007/s00285-015-0912-1.Full Text
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Cox, J. T., and R. Durrett. “Evolutionary games on the torus with weak selection.” Stochastic Processes and Their Applications 126, no. 8 (December 7, 2015): 2388–2409. https://doi.org/10.1016/j.spa.2016.02.004.Full Text
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Durrett, R., and Y. Zhang. “Coexistence of grass, saplings and trees in the Staver-Levin forest model.” Annals of Applied Probability 25, no. 6 (December 1, 2015): 3434–64. https://doi.org/10.1214/14-AAP1079.Full Text
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Talkington, Anne, and Rick Durrett. “Estimating Tumor Growth Rates In Vivo.” Bulletin of Mathematical Biology 77, no. 10 (October 2015): 1934–54. https://doi.org/10.1007/s11538-015-0110-8.Full Text
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Varghese, C., and R. Durrett. “Spatial networks evolving to reduce length.” Journal of Complex Networks 3, no. 3 (September 1, 2015): 411–30. https://doi.org/10.1093/comnet/cnu044.Full Text
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Ryser, Marc D., Evan R. Myers, and Rick Durrett. “HPV clearance and the neglected role of stochasticity.” Plos Comput Biol 11, no. 3 (March 2015): e1004113. https://doi.org/10.1371/journal.pcbi.1004113.Full Text Open Access Copy Link to Item
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Durrett, R., and S. Moseley. “Spatial moran models I. Stochastic tunneling in the neutral case.” Annals of Applied Probability 25, no. 1 (February 1, 2015): 104–15. https://doi.org/10.1214/13-AAP989.Full Text
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Magura, S. R., V. H. Pong, R. Durrett, and D. Sivakoff. “Two evolving social network models.” Alea 12, no. 2 (January 1, 2015): 699–715.
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Durrett, R. “Spatial evolutionary games with small selection coefficients.” Electronic Journal of Probability 19 (December 28, 2014). https://doi.org/10.1214/EJP.v19-3621.Full Text
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Aristotelous, A. C., and R. Durrett. “Fingering in stochastic growth models.” Experimental Mathematics 23, no. 4 (October 2, 2014): 465–74. https://doi.org/10.1080/10586458.2014.947053.Full Text
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Durrett, Richard, and Yuan Zhang. “Exact solution for a metapopulation version of Schelling's model.” Proceedings of the National Academy of Sciences of the United States of America 111, no. 39 (September 2014): 14036–41. https://doi.org/10.1073/pnas.1414915111.Full Text
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Aristotelous, Andreas C., and Richard Durrett. “Chemical evolutionary games.” Theoretical Population Biology 93 (May 2014): 1–13. https://doi.org/10.1016/j.tpb.2014.02.001.Full Text
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Durrett, R., T. Liggett, and Y. Zhang. “The contact process with fast voting.” Electronic Journal of Probability 19 (March 3, 2014). https://doi.org/10.1214/EJP.v19-3021.Full Text
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Shi, Feng, Peter J. Mucha, and Richard Durrett. “Multiopinion coevolving voter model with infinitely many phase transitions.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 88, no. 6 (December 2013): 062818. https://doi.org/10.1103/physreve.88.062818.Full Text
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Varghese, C., and R. Durrett. “Phase transitions in the quadratic contact process on complex networks.” Physical Review E Statistical, Nonlinear, and Soft Matter Physics 87, no. 6 (June 27, 2013). https://doi.org/10.1103/PhysRevE.87.062819.Full Text
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Mode, C. J., R. Durrett, F. Klebaner, and P. Olofsson. “Applications of stochastic processes in biology and medicine.” International Journal of Stochastic Analysis 2013 (April 29, 2013). https://doi.org/10.1155/2013/790625.Full Text
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Durrett, R. “Cancer modeling: A personal perspective.” Notices of the American Mathematical Society 60, no. 3 (March 1, 2013): 304–9. https://doi.org/10.1090/noti953.Full Text
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Danesh, Kaveh, Rick Durrett, Laura J. Havrilesky, and Evan Myers. “A branching process model of ovarian cancer.” J Theor Biol 314 (December 7, 2012): 10–15. https://doi.org/10.1016/j.jtbi.2012.08.025.Full Text Link to Item
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Durrett, Rick, and Daniel Remenik. “Evolution of dispersal distance.” Journal of Mathematical Biology 64, no. 4 (March 2012): 657–66. https://doi.org/10.1007/s00285-011-0444-2.Full Text
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Durrett, Richard, James P. Gleeson, Alun L. Lloyd, Peter J. Mucha, Feng Shi, David Sivakoff, Joshua E. S. Socolar, and Chris Varghese. “Graph fission in an evolving voter model.” Proceedings of the National Academy of Sciences of the United States of America 109, no. 10 (March 2012): 3682–87. https://doi.org/10.1073/pnas.1200709109.Full Text
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Durrett, R., and S. Chatterjee. “A first order phase transition in the threshold theta contact process on random r-regular graphs and trees (Accepted).” Stoch. Proc. Appl., 2012.
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Chatterjee, S., and R. Durrett. “Asymptotic behavior of Aldous' gossip process.” Annals of Applied Probability 21, no. 6 (December 1, 2011): 2447–82. https://doi.org/10.1214/10-AAP750.Full Text
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Chatterjee, S., and R. Durrett. “Persistence of activity in threshold contact processes, an "Annealed approximation" of random Boolean networks.” Random Structures and Algorithms 39, no. 2 (September 1, 2011): 228–46. https://doi.org/10.1002/rsa.20357.Full Text
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Durrett, Rick, Jasmine Foo, Kevin Leder, John Mayberry, and Franziska Michor. “Intratumor heterogeneity in evolutionary models of tumor progression.” Genetics 188, no. 2 (June 2011): 461–77. https://doi.org/10.1534/genetics.110.125724.Full Text
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Durrett, R., and J. Mayberry. “Traveling waves of selective sweeps.” Annals of Applied Probability 21, no. 2 (April 1, 2011): 699–744. https://doi.org/10.1214/10-AAP721.Full Text
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Durrett, R., and D. Remenik. “Brunet-derrida particle systems, free boundary problems and wiener-hopf equations.” Annals of Probability 39, no. 6 (January 1, 2011): 2043–78. https://doi.org/10.1214/10-AOP601.Full Text
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Durrett, R., and Shirshendu Chatterjee. “Persistence of activity in random Boolean networks.” Random Structures and Algorithms 39 (2011): 228–46.
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Cox, J. T., R. Durrett, and E. Perkins. “Voter model perturbations and reaction diffusion equations (Accepted).” Asterique, 2011.
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Durrett, R. “Population genetics of neutral mutations in exponentially growing cancer cell populations (Accepted).” Annals of Applied Probability, 2011.
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Durrett, Rick, Jasmine Foo, Kevin Leder, John Mayberry, and Franziska Michor. “Evolutionary dynamics of tumor progression with random fitness values.” Theoretical Population Biology 78, no. 1 (August 2010): 54–66. https://doi.org/10.1016/j.tpb.2010.05.001.Full Text
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Durrett, R., and J. Mayberry. “Evolution in predator-prey systems.” Stochastic Processes and Their Applications 120, no. 7 (July 1, 2010): 1364–92. https://doi.org/10.1016/j.spa.2010.03.011.Full Text
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Durrett, Rick. “Some features of the spread of epidemics and information on a random graph.” Proceedings of the National Academy of Sciences of the United States of America 107, no. 10 (March 2010): 4491–98. https://doi.org/10.1073/pnas.0914402107.Full Text
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Durrett, Richard, and Stephen Moseley. “Evolution of resistance and progression to disease during clonal expansion of cancer.” Theoretical Population Biology 77, no. 1 (February 2010): 42–48. https://doi.org/10.1016/j.tpb.2009.10.008.Full Text
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Chatterjee, S., and R. Durrett. “Contact processes on random graphs with power law degree distributions have critical value 0.” Annals of Probability 37, no. 6 (November 1, 2009): 2332–56. https://doi.org/10.1214/09-AOP471.Full Text
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Chan, B., R. Durrett, and N. Lanchier. “Coexistence for a multitype contact process with seasons.” Annals of Applied Probability 19, no. 5 (October 1, 2009): 1921–43. https://doi.org/10.1214/09-AAP599.Full Text
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Durrett, R., and D. Remenik. “Chaos in a spatial epidemic model.” Annals of Applied Probability 19, no. 4 (August 1, 2009): 1656–85. https://doi.org/10.1214/08-AAP581.Full Text
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Wu, Feinan, Nancy T. Eannetta, Yimin Xu, Richard Durrett, Michael Mazourek, Molly M. Jahn, and Steven D. Tanksley. “A COSII genetic map of the pepper genome provides a detailed picture of synteny with tomato and new insights into recent chromosome evolution in the genus Capsicum.” Tag. Theoretical and Applied Genetics. Theoretische Und Angewandte Genetik 118, no. 7 (May 2009): 1279–93. https://doi.org/10.1007/s00122-009-0980-y.Full Text
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Durrett, R. “SPecial invited paper coexistence in stochastic spatial models.” Annals of Applied Probability 19, no. 2 (April 1, 2009): 477–96. https://doi.org/10.1214/08-AAP590.Full Text
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Durrett, R., D. Schmidt, and J. Schweinsberg. “A waiting time problem arising from the study of multi-stage carcinogenesis.” Annals of Applied Probability 19, no. 2 (April 1, 2009): 676–718. https://doi.org/10.1214/08-AAP559.Full Text
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Durrett, R., and D. Schmidt. “Reply to Michael Behe.” Genetics 181, no. 2 (February 1, 2009): 821–22. https://doi.org/10.1534/genetics.109.100800.Full Text
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Durrett, R., and L. Popovic. “Degenerate diffusions arising from gene duplication models.” Annals of Applied Probability 19, no. 1 (February 1, 2009): 15–48. https://doi.org/10.1214/08-AAP530.Full Text
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Chan, Ben, R. Durrett, and Nicolas Lanchier. “Coexistence in a particle system with seasons.” Ann. Appl. Probab. 19 (2009): 1921–43.
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Durrett, Rick, and Deena Schmidt. “Waiting for two mutations: with applications to regulatory sequence evolution and the limits of Darwinian evolution.” Genetics 180, no. 3 (November 2008): 1501–9. https://doi.org/10.1534/genetics.107.082610.Full Text
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Durrett, R., and N. Lanchier. “Coexistence in host-pathogen systems.” Stochastic Processes and Their Applications 118, no. 6 (June 1, 2008): 1004–21. https://doi.org/10.1016/j.spa.2007.07.008.Full Text
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Durrett, R., and M. Restrepo. “One-dimensional stepping stone models, sardine genetics and Brownian local time.” Annals of Applied Probability 18, no. 1 (February 1, 2008): 334–58. https://doi.org/10.1214/07-AAP451.Full Text
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Berestycki, N., and R. Durrett. “Limiting behavior for the distance of a random walk.” Electronic Journal of Probability 13 (January 1, 2008): 374–95. https://doi.org/10.1214/EJP.v13-490.Full Text
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Huerta-Sanchez, Emilia, Rick Durrett, and Carlos D. Bustamante. “Population genetics of polymorphism and divergence under fluctuating selection.” Genetics 178, no. 1 (January 2008): 325–37. https://doi.org/10.1534/genetics.107.073361.Full Text
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Durrett, R., and I. Zähle. “On the width of hybrid zones.” Stochastic Processes and Their Applications 117, no. 12 (December 1, 2007): 1751–63. https://doi.org/10.1016/j.spa.2006.05.017.Full Text
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Durrett, R., and P. Jung. “Two phase transitions for the contact process on small worlds.” Stochastic Processes and Their Applications 117, no. 12 (December 1, 2007): 1910–27. https://doi.org/10.1016/j.spa.2007.03.003.Full Text
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De, Arkendra, and Richard Durrett. “Stepping-stone spatial structure causes slow decay of linkage disequilibrium and shifts the site frequency spectrum.” Genetics 176, no. 2 (June 2007): 969–81. https://doi.org/10.1534/genetics.107.071464.Full Text
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Sainudiin, Raazesh, Andrew G. Clark, and Richard T. Durrett. “Simple models of genomic variation in human SNP density.” Bmc Genomics 8 (June 2007): 146. https://doi.org/10.1186/1471-2164-8-146.Full Text
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York, Thomas L., Rick Durrett, and Rasmus Nielsen. “Dependence of paracentric inversion rate on tract length.” Bmc Bioinformatics 8 (April 2007): 115. https://doi.org/10.1186/1471-2105-8-115.Full Text
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Huerta-Sanchez, Emilia, and Rick Durrett. “Wagner's canalization model.” Theoretical Population Biology 71, no. 2 (March 2007): 121–30. https://doi.org/10.1016/j.tpb.2006.10.006.Full Text
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Durrett, R., and D. Schmidt. “Waiting for regulatory sequences to appear.” Annals of Applied Probability 17, no. 1 (February 1, 2007): 1–32. https://doi.org/10.1214/105051606000000619.Full Text
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De, Arkendra, and R. Durrett. “Spatial structure of the human population contributes to the slow decay of linkage diseqeuilibrium and shifts the site frequency spectrum.” Genetics 176 (2007): 969–81.
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Chan, B., and R. Durrett. “A new coexistence result for competing contact processes.” Annals of Applied Probability 16, no. 3 (August 1, 2006): 1155–65. https://doi.org/10.1214/105051606000000132.Full Text
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Berestycki, N., and R. Durrett. “A phase transition in the random transposition random walk.” Probability Theory and Related Fields 136, no. 2 (January 1, 2006): 203–33. https://doi.org/10.1007/s00440-005-0479-7.Full Text
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Durrett, R. “Random graph dynamics.” Random Graph Dynamics, January 1, 2006, 1–212. https://doi.org/10.1017/CBO9780511546594.Full Text
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Durrett, R., and J. Schweinsberg. “Power laws for family sizes in a duplication model.” Annals of Probability 33, no. 6 (November 1, 2005): 2094–2126. https://doi.org/10.1214/009117905000000369.Full Text
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Durrett, R., and J. Schweinsberg. “A coalescent model for the effect of advantageous mutations on the genealogy of a population.” Stochastic Processes and Their Applications 115, no. 10 (October 1, 2005): 1628–57. https://doi.org/10.1016/j.spa.2005.04.009.Full Text
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Blasiak, J., and R. Durrett. “Random Oxford graphs.” Stochastic Processes and Their Applications 115, no. 8 (August 1, 2005): 1257–78. https://doi.org/10.1016/j.spa.2005.03.008.Full Text
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Schweinsberg, J., and R. Durrett. “Random partitions approximating the coalescence of lineages during a selective sweep.” Annals of Applied Probability 15, no. 3 (August 1, 2005): 1591–1651. https://doi.org/10.1214/105051605000000430.Full Text
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Durrett, R., and S. A. Levin. “Can stable social groups be maintained by homophilous imitation alone?” Journal of Economic Behavior and Organization 57, no. 3 (July 1, 2005): 267–86. https://doi.org/10.1016/j.jebo.2003.09.017.Full Text
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York, Thomas L., Richard T. Durrett, Steven Tanksley, and Rasmus Nielsen. “Bayesian and maximum likelihood estimation of genetic maps.” Genetical Research 85, no. 2 (April 2005): 159–68. https://doi.org/10.1017/s0016672305007494.Full Text
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Zähle, I., J. T. Cox, and R. Durrett. “The stepping stone model. II: Genealogies and the infinite sites model.” Annals of Applied Probability 15, no. 1 B (February 1, 2005): 671–99. https://doi.org/10.1214/105051604000000701.Full Text
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Durrett, R., L. Mytnik, and E. Perkins. “Competing super-brownian motions as limits of interacting particle systems.” Electronic Journal of Probability 10 (January 1, 2005): 1147–1220. https://doi.org/10.1214/EJP.v10-229.Full Text
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Schmidt, Deena, and Rick Durrett. “Adaptive evolution drives the diversification of zinc-finger binding domains.” Molecular Biology and Evolution 21, no. 12 (December 2004): 2326–39. https://doi.org/10.1093/molbev/msh246.Full Text
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Durrett, Richard, and Jason Schweinsberg. “Approximating selective sweeps.” Theoretical Population Biology 66, no. 2 (September 2004): 129–38. https://doi.org/10.1016/j.tpb.2004.04.002.Full Text
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Sainudiin, Raazesh, Richard T. Durrett, Charles F. Aquadro, and Rasmus Nielsen. “Microsatellite mutation models: insights from a comparison of humans and chimpanzees.” Genetics 168, no. 1 (September 2004): 383–95. https://doi.org/10.1534/genetics.103.022665.Full Text
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Ward, Rachel, and Richard Durrett. “Subfunctionalization: How often does it occur? How long does it take?” Theoretical Population Biology 66, no. 2 (September 2004): 93–100. https://doi.org/10.1016/j.tpb.2004.03.004.Full Text
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Durrett, Richard, Rasmus Nielsen, and Thomas L. York. “Bayesian estimation of genomic distance.” Genetics 166, no. 1 (January 2004): 621–29. https://doi.org/10.1534/genetics.166.1.621.Full Text
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Durrett, R., and V. Limic. “Rigorous results for the NK model.” Annals of Probability 31, no. 4 (October 1, 2003): 1713–53. https://doi.org/10.1214/aop/1068646364.Full Text
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Durrett, R. “Shuffling Chromosomes.” Journal of Theoretical Probability 16, no. 3 (July 1, 2003): 725–50. https://doi.org/10.1023/A:1025676617383.Full Text
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Calabrese, Peter, and Rick Durrett. “Dinucleotide repeats in the Drosophila and human genomes have complex, length-dependent mutation processes.” Molecular Biology and Evolution 20, no. 5 (May 2003): 715–25. https://doi.org/10.1093/molbev/msg084.Full Text
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Cox, T., and R. Durrett. “Erratum: The stepping stone model: New formulas expose old myths (The Annals of Applied Probability (2002) 12 (1348-1377)).” Annals of Applied Probability 13, no. 2 (May 1, 2003): 816.
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Durrett, R., and V. Limic. “A surprising poisson process arising from a species competition model.” Stochastic Processes and Their Applications 102, no. 2 (December 1, 2002): 301–9. https://doi.org/10.1016/S0304-4149(02)00209-0.Full Text
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Cox, J. T., and R. Durrett. “The stepping stone model: New formulas expose old myths.” Annals of Applied Probability 12, no. 4 (November 1, 2002): 1348–77. https://doi.org/10.1214/aoap/1037125866.Full Text
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Buttel, Linda A., Richard Durrett, and Simon A. Levin. “Competition and species packing in patchy environments.” Theoretical Population Biology 61, no. 3 (May 2002): 265–76. https://doi.org/10.1006/tpbi.2001.1569.Full Text
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Durrett, R., H. Kesten, and V. Limic. “Once edge-reinforced random walk on a tree.” Probability Theory and Related Fields 122, no. 4 (April 1, 2002): 567–92. https://doi.org/10.1007/s004400100179.Full Text
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Balding, D. J., A. D. Carothers, J. L. Marchini, L. R. Cardon, A. Vetta, B. Griffiths, B. S. Weir, et al. “Discussion on the meeting on 'statistical modelling and analysis of genetic data'.” Journal of the Royal Statistical Society. Series B: Statistical Methodology 64, no. 4 (January 1, 2002): 737–75. https://doi.org/10.1111/1467-9868.00359.Full Text
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Durrett, R. “Mutual invadability implies coexistence in spatial models.” Memoirs of the American Mathematical Society, no. 740 (January 1, 2002). https://doi.org/10.1090/memo/0740.Full Text
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Durrett, R. “Mutual invadability implies coexistence in spatial models.” Memoirs of the American Mathematical Society, no. 740 (January 1, 2002).
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York, Thomas L., Richard Durrett, and Rasmus Nielsen. “Bayesian estimation of the number of inversions in the history of two chromosomes.” Journal of Computational Biology : A Journal of Computational Molecular Cell Biology 9, no. 6 (January 2002): 805–18. https://doi.org/10.1089/10665270260518281.Full Text
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Durrett, Richard T., Kai-Yi Chen, and Steven D. Tanksley. “A simple formula useful for positional cloning.” Genetics 160, no. 1 (January 2002): 353–55. https://doi.org/10.1093/genetics/160.1.353.Full Text
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Diaconis, P., and R. Durrett. “Chutes and Ladders in Markov Chains.” Journal of Theoretical Probability 14, no. 3 (December 1, 2001): 899–926. https://doi.org/10.1023/A:1017509611178.Full Text
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Calabrese, P. P., R. T. Durrett, and C. F. Aquadro. “Dynamics of microsatellite divergence under stepwise mutation and proportional slippage/point mutation models.” Genetics 159, no. 2 (October 2001): 839–52. https://doi.org/10.1093/genetics/159.2.839.Full Text
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Sundell, N. M., and R. T. Durrett. “Exponential distance statistics to detect the effects of population subdivision.” Theoretical Population Biology 60, no. 2 (September 2001): 107–16. https://doi.org/10.1006/tpbi.2001.1522.Full Text
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Durrett, R., and V. Limic. “On the quantity and quality of single nucleotide polymorphisms in the human genome.” Stochastic Processes and Their Applications 93, no. 1 (May 1, 2001): 1–24. https://doi.org/10.1016/S0304-4149(00)00090-9.Full Text
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Arkendra, D. E., M. Ferguson, S. Sindi, and R. Durrett. “The equilibrium distribution for a generalized Sankoff-Ferretti model accurately predicts chromosome size distributions in a wide variety of species.” Journal of Applied Probability 38, no. 2 (January 1, 2001): 324–34. https://doi.org/10.1239/jap/996986747.Full Text
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Broughton, R. E., S. E. Stanley, and R. T. Durrett. “Quantification of homoplasy for nucleotide transitions and transversions and a reexamination of assumptions in weighted phylogenetic analysis.” Systematic Biology 49, no. 4 (December 2000): 617–27. https://doi.org/10.1080/106351500750049734.Full Text
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Kruglyak, S., R. Durrett, M. D. Schug, and C. F. Aquadro. “Distribution and abundance of microsatellites in the yeast genome can Be explained by a balance between slippage events and point mutations.” Molecular Biology and Evolution 17, no. 8 (August 2000): 1210–19. https://doi.org/10.1093/oxfordjournals.molbev.a026404.Full Text
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Durrett, R., and S. Levin. “Lessons on pattern formation from planet WATOR.” Journal of Theoretical Biology 205, no. 2 (July 2000): 201–14. https://doi.org/10.1006/jtbi.2000.2061.Full Text
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Vision, T. J., D. G. Brown, D. B. Shmoys, R. T. Durrett, and S. D. Tanksley. “Selective mapping: a strategy for optimizing the construction of high-density linkage maps.” Genetics 155, no. 1 (May 2000): 407–20. https://doi.org/10.1093/genetics/155.1.407.Full Text
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Liu, Y. C., R. Durrett, and M. G. Milgroom. “A spatially-structured stochastic model to simulate heterogenous transmission of viruses in fungal populations.” Ecological Modelling 127, no. 2–3 (March 30, 2000): 291–308. https://doi.org/10.1016/S0304-3800(99)00216-1.Full Text
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Cox, J. T., R. Durrett, and E. A. Perkins. “Rescaled voter models converge to super-Brownian motion.” Annals of Probability 28, no. 1 (January 1, 2000): 185–234. https://doi.org/10.1214/aop/1019160117.Full Text
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Durrett, R., L. Buttel, and R. Harrison. “Spatial models for hybrid zones.” Heredity 84 ( Pt 1) (January 2000): 9–19. https://doi.org/10.1046/j.1365-2540.2000.00566.x.Full Text
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Durrett, R., and R. B. Schinazi. “Boundary Modified Contact Processes.” Journal of Theoretical Probability 13, no. 2 (January 1, 2000): 575–94. https://doi.org/10.1023/A:1007881121529.Full Text
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Molofsky, J., R. Durrett, J. Dushoff, D. Griffeath, and S. Levin. “Local frequency dependence and global coexistence.” Theoretical Population Biology 55, no. 3 (June 1999): 270–82. https://doi.org/10.1006/tpbi.1998.1404.Full Text
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Durrett, R. “Stochastic spatial models.” Siam Review 41, no. 4 (January 1, 1999): 677–718. https://doi.org/10.1137/S0036144599354707.Full Text
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Durrett, R., B. L. Granovsky, and S. Gueron. “The Equilibrium Behavior of Reversible Coagulation-Fragmentation Processes.” Journal of Theoretical Probability 12, no. 2 (January 1, 1999): 447–74. https://doi.org/10.1023/A:1021682212351.Full Text
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Durrett, R., and E. A. Perkins. “Rescaled contact processes converge to super-Brownian motion in two or more dimensions.” Probability Theory and Related Fields 114, no. 3 (January 1, 1999): 309–99. https://doi.org/10.1007/s004400050228.Full Text
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Durrett, R., and S. Kruglyak. “A new stochastic model of microsatellite evolution.” Journal of Applied Probability 36, no. 3 (January 1, 1999): 621–31. https://doi.org/10.1239/jap/1032374621.Full Text
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Durrett, R., and S. Kruglyak. “A new stochastic model of microsatellite evolution.” Journal of Applied Probability 36, no. 3 (January 1, 1999): 621–31. https://doi.org/10.1017/S0021900200017447.Full Text
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Kruglyak, S., R. T. Durrett, M. D. Schug, and C. F. Aquadro. “Equilibrium distributions of microsatellite repeat length resulting from a balance between slippage events and point mutations.” Proceedings of the National Academy of Sciences of the United States of America 95, no. 18 (September 1998): 10774–78. https://doi.org/10.1073/pnas.95.18.10774.Full Text
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Durrett, R., and S. Levin. “Spatial aspects of interspecific competition.” Theoretical Population Biology 53, no. 1 (February 1998): 30–43. https://doi.org/10.1006/tpbi.1997.1338.Full Text
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Bramson, M., J. T. Cox, and R. Durrett. “A spatial model for the abundance of species.” Annals of Probability 26, no. 2 (January 1, 1998): 658–709. https://doi.org/10.1214/aop/1022855647.Full Text
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Durrett, R., and S. Levin. “Erratum: Spatial aspects of interspecific competition (Theoretical Population Biology (1998) 53:1 (30-43)).” Theoretical Population Biology 53, no. 3 (January 1, 1998): 284. https://doi.org/10.1006/tpbi.1998.1374.Full Text
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Durrett, R., and S. Levin. “Allelopathy in spatially distributed populations.” Journal of Theoretical Biology 185, no. 2 (March 21, 1997): 165–71. https://doi.org/10.1006/jtbi.1996.0292.Full Text
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Allouba, H., R. Durrett, J. Hawkes, and E. Perkins. “Super-Tree Random Measures.” Journal of Theoretical Probability 10, no. 3 (January 1, 1997): 773–94. https://doi.org/10.1023/A:1022666030740.Full Text
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Chen, Z. Q., R. Durrett, and G. Ma. “Holomorphic diffusions and boundary behavior of harmonic functions.” Annals of Probability 25, no. 3 (January 1, 1997): 1103–34. https://doi.org/10.1214/aop/1024404507.Full Text
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Durrett, R., and C. Neuhauser. “Coexistence results for some competition models.” Annals of Applied Probability 7, no. 1 (January 1, 1997): 10–45. https://doi.org/10.1214/aoap/1034625251.Full Text
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Durrett, R., and S. Levin. “Spatial models for species-area curves.” Journal of Theoretical Biology 179, no. 2 (March 14, 1996): 119–27. https://doi.org/10.1006/jtbi.1996.0053.Full Text
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Bramson, M., J. T. Cox, and R. Durrett. “Spatial models for species area curves.” Annals of Probability 24, no. 4 (January 1, 1996): 1727–51. https://doi.org/10.1214/aop/1041903204.Full Text
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Cox, J. T., and R. Durrett. “Hybrid zones and voter model interfaces.” Bernoulli 1, no. 4 (January 1, 1995): 343–70. https://doi.org/10.3150/bj/1193758711.Full Text
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Durrett, R., and G. Swindle. “Coexistence results for catalysts.” Probability Theory and Related Fields 98, no. 4 (December 1, 1994): 489–515. https://doi.org/10.1007/BF01192836.Full Text
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Durrett, R., and S. A. Levin. “Stochastic spatial models: A user's guide to ecological applications.” Philosophical Transactions of the Royal Society B: Biological Sciences 343, no. 1305 (January 1, 1994): 329–50. https://doi.org/10.1098/rstb.1994.0028.Full Text
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Durrett, R., and S. Levin. “The importance of being discrete (and spatial).” Theoretical Population Biology 46, no. 3 (January 1, 1994): 363–94. https://doi.org/10.1006/tpbi.1994.1032.Full Text
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Durrett, R., and D. Griffeath. “Asymptotic behavior of excitable cellular automata.” Experimental Mathematics 2, no. 3 (January 1, 1993): 183–208. https://doi.org/10.1080/10586458.1993.10504277.Full Text
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Durrett, R. T., and L. C. G. Rogers. “Asymptotic behavior of Brownian polymers.” Probability Theory and Related Fields 92, no. 3 (September 1, 1992): 337–49. https://doi.org/10.1007/BF01300560.Full Text
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Durrett, R. “Multicolor particle systems with large threshold and range.” Journal of Theoretical Probability 5, no. 1 (January 1, 1992): 127–52. https://doi.org/10.1007/BF01046781.Full Text
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Durrett, R., and J. E. Steif. “Some rigorous results for the Greenberg-Hastings Model.” Journal of Theoretical Probability 4, no. 4 (October 1, 1991): 669–90. https://doi.org/10.1007/BF01259549.Full Text
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Cox, J. T., R. Durrett, and R. Schinazi. “The critical contact process seen from the right edge.” Probability Theory and Related Fields 87, no. 3 (September 1, 1991): 325–32. https://doi.org/10.1007/BF01312213.Full Text
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Durrett, R., and A. M. Møller. “Complete convergence theorem for a competition model.” Probability Theory and Related Fields 88, no. 1 (March 1, 1991): 121–36. https://doi.org/10.1007/BF01193585.Full Text
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Bramson, M., D. Wan-ding, and R. Durrett. “Annihilating branching processes.” Stochastic Processes and Their Applications 37, no. 1 (January 1, 1991): 1–17. https://doi.org/10.1016/0304-4149(91)90056-I.Full Text
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Durrett, R., H. Kesten, and E. Waymire. “On weighted heights of random trees.” Journal of Theoretical Probability 4, no. 1 (January 1, 1991): 223–37. https://doi.org/10.1007/BF01047004.Full Text
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Durrett, R., and G. Swindle. “Are there bushes in a forest?” Stochastic Processes and Their Applications 37, no. 1 (January 1, 1991): 19–31. https://doi.org/10.1016/0304-4149(91)90057-J.Full Text
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Jinwen, C., R. Durrett, and L. Xiufang. “Exponential convergence for one dimensional contact processes.” Acta Mathematica Sinica 6, no. 4 (December 1, 1990): 349–53. https://doi.org/10.1007/BF02107968.Full Text
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Cox, J. T., and R. Durrett. “Large deviations for independent random walks.” Probability Theory and Related Fields 84, no. 1 (March 1, 1990): 67–82. https://doi.org/10.1007/BF01288559.Full Text
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Ding, W. D., R. Durrett, and T. M. Liggett. “Ergodicity of reversible reaction diffusion processes.” Probability Theory and Related Fields 85, no. 1 (March 1, 1990): 13–26. https://doi.org/10.1007/BF01377624.Full Text
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Durrett, R., R. H. Schonmann, and N. I. Tanaka. “Correlation lengths for oriented percolation.” Journal of Statistical Physics 55, no. 5–6 (June 1, 1989): 965–79. https://doi.org/10.1007/BF01041074.Full Text
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Durrett, R., and N. I. Tanaka. “Scaling inequalities for oriented percolation.” Journal of Statistical Physics 55, no. 5–6 (June 1, 1989): 981–95. https://doi.org/10.1007/BF01041075.Full Text
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Bramson, M., and R. Durrett. “A simple proof of the stability criterion of Gray and Griffeath.” Probability Theory and Related Fields 80, no. 2 (December 1, 1988): 293–98. https://doi.org/10.1007/BF00356107.Full Text
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Durrett, R., and R. H. Schonmann. “Large deviations for the contact process and two dimensional percolation.” Probability Theory and Related Fields 77, no. 4 (December 1, 1988): 583–603. https://doi.org/10.1007/BF00959619.Full Text
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Bramson, M., and R. Durrett. “Random walk in random environment: A counterexample?” Communications in Mathematical Physics 119, no. 2 (June 1, 1988): 199–211. https://doi.org/10.1007/BF01217738.Full Text
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Durrett, R. “Crabgrass, measles, and gypsy moths: An introduction to interacting particle systems.” The Mathematical Intelligencer 10, no. 2 (June 1, 1988): 37–47. https://doi.org/10.1007/BF03028355.Full Text
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Chayes, J. T., L. Chayes, and R. Durrett. “Connectivity properties of Mandelbrot's percolation process.” Probability Theory and Related Fields 77, no. 3 (March 1, 1988): 307–24. https://doi.org/10.1007/BF00319291.Full Text
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Cox, J. T., and R. Durrett. “Limit theorems for the spread of epidemics and forest fires.” Stochastic Processes and Their Applications 30, no. 2 (January 1, 1988): 171–91. https://doi.org/10.1016/0304-4149(88)90083-X.Full Text
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Durrett, R. “Crabgrass, measles, and gypsy moths: An introduction to modern probability.” Bulletin of the American Mathematical Society 18, no. 2 (January 1, 1988): 117–43. https://doi.org/10.1090/S0273-0979-1988-15625-X.Full Text
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Chayes, J. T., L. Chayes, and R. Durrett. “Inhomogeneous percolation problems and incipient infinite clusters.” Journal of Physics A: Mathematical and General 20, no. 6 (December 1, 1987): 1521–30. https://doi.org/10.1088/0305-4470/20/6/034.Full Text
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Brennan, M. D., and R. Durrett. “Splitting intervals II: Limit laws for lengths.” Probability Theory and Related Fields 75, no. 1 (May 1, 1987): 109–27. https://doi.org/10.1007/BF00320085.Full Text
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Chayes, J. T., L. Chayes, and R. Durrett. “Critical behavior of the two-dimensional first passage time.” Journal of Statistical Physics 45, no. 5–6 (December 1, 1986): 933–51. https://doi.org/10.1007/BF01020583.Full Text
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Durrett, R. “Multidimensional random walks in random environments with subclassical limiting behavior.” Communications in Mathematical Physics 104, no. 1 (March 1, 1986): 87–102. https://doi.org/10.1007/BF01210794.Full Text
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Durrett, R. “Some general results concerning the critical exponents of percolation processes.” Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete 69, no. 3 (September 1, 1985): 421–37. https://doi.org/10.1007/BF00532742.Full Text
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Durrett, R., and B. Nguyen. “Thermodynamic inequalities for percolation.” Communications in Mathematical Physics 99, no. 2 (June 1, 1985): 253–69. https://doi.org/10.1007/BF01212282.Full Text
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Durrett, R., and T. M. Liggett. “Fixed points of the smoothing transformation.” Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete 64, no. 3 (September 1, 1983): 275–301. https://doi.org/10.1007/BF00532962.Full Text
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Durrett, R. “Maxima of branching random walks.” Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete 62, no. 2 (June 1, 1983): 165–70. https://doi.org/10.1007/BF00538794.Full Text
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Chung, K. L., R. Durrett, and Z. Zhao. “Extension of domains with finite gauge.” Mathematische Annalen 264, no. 1 (March 1, 1983): 73–79. https://doi.org/10.1007/BF01458051.Full Text
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Cox, J. T., and R. Durrett. “Oriented Percolation in Dimensions D ≥ 4: Bounds and Asymptotic Formulas.” Mathematical Proceedings of the Cambridge Philosophical Society 93, no. 1 (January 1, 1983): 151–62. https://doi.org/10.1017/S0305004100060436.Full Text
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Durrett, R., and D. Griffeath. “Contact processes in several dimensions.” Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete 59, no. 4 (December 1, 1982): 535–52. https://doi.org/10.1007/BF00532808.Full Text
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Durrett, R. “An introduction to infinite particle systems.” Stochastic Processes and Their Applications 11, no. 2 (January 1, 1981): 109–50. https://doi.org/10.1016/0304-4149(81)90001-6.Full Text
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Durrett, R. “Conditioned limit theorems for random walks with negative drift.” Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete 52, no. 3 (January 1, 1980): 277–87. https://doi.org/10.1007/BF00538892.Full Text
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Anthony, P. F., R. Durrett, J. L. Pulec, and J. L. Hartstone. “A new parameter in brain stem evoked response: component wave areas.” The Laryngoscope 89, no. 10 Pt 1 (October 1979): 1569–78. https://doi.org/10.1002/lary.5540891004.Full Text
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Durrett, R. “Maxima of branching random walks vs. independent random walks.” Stochastic Processes and Their Applications 9, no. 2 (January 1, 1979): 117–35. https://doi.org/10.1016/0304-4149(79)90024-3.Full Text
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Anthony, P. F., R. Durrett, J. L. Pulec, and J. L. Hartstone. “A new parameter in brain stem evoked response: Component wave areas.” Laryngoscope 89, no. 10 I (1979): 1569–78.
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Durrett, R. “The genealogy of critical branching processes.” Stochastic Processes and Their Applications 8, no. 1 (January 1, 1978): 101–16. https://doi.org/10.1016/0304-4149(78)90071-6.Full Text
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Durrett, R. T., and S. I. Resnick. “Weak convergence with random indices.” Stochastic Processes and Their Applications 5, no. 3 (January 1, 1977): 213–20. https://doi.org/10.1016/0304-4149(77)90031-X.Full Text
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Chung, K. L., and R. Durrett. “Downcrossings and local time.” Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete 35, no. 2 (June 1, 1976): 147–49. https://doi.org/10.1007/BF00533319.Full Text
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Durrett, R. T., and S. G. Ghurye. “WAITING TIMES WITHOUT MEMORY.” J Appl Probab 13, no. 1 (January 1, 1976): 65–75. https://doi.org/10.1017/s0021900200049019.Full Text
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Durrett, R. T., and C. Varghese. “Evolving spatial networks to minimize length.” Journal of Complex Networks 3, no. 3 (n.d.): 411–30. https://doi.org/10.1093/comet/cnu044.Full Text Link to Item
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Durrett, R. T., and D. Sivakoff. “Two evolving social network models.” Alea (Rio De Janeiro): Latin American Journal of Probability and Mathematical Statistics XII, no. 2 (n.d.): 699–715.Open Access Copy
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Book Sections
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Durrett, R. T. “Mathematical modeling in ecology, genetics and cancer research.” In The Art And Practice Of Mathematics: Interviews At The Institute For Mathematical Sciences, National University Of Singapore, 2010-2020, 74–82, 2021.
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Chung, K. L., and R. Durrett. “Downcrossings and local time.” In Selected Works of Kai Lai Chung, 585–87, 2008. https://doi.org/10.1142/9789812833860_0037.Full Text
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- Teaching & Mentoring
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Recent Courses
- MATH 230: Probability 2023
- MATH 730: Probability 2023
- STA 230: Probability 2023
- MATH 393: Research Independent Study 2022
- MATH 690-40: Topics in Probability Theory 2022
- STA 690-40: Topics in Probability Theory 2022
- MATH 230: Probability 2021
- MATH 493: Research Independent Study 2021
- MATH 541: Applied Stochastic Processes 2021
- MATH 730: Probability 2021
- STA 230: Probability 2021
- STA 621: Applied Stochastic Processes 2021
- Scholarly, Clinical, & Service Activities
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Presentations & Appearances
- Evolving Voter Models on Thick Graphs. World Congress of Probability and Statistics. Fields Institute. July 2016 2016
- Evolutionary Games on the Torus. New Developments in Probability. Northwestern U. May 2016 2016
- Spatial Moran Model. Mathematical Models in Ecology and Evolution. College de France. July 2015 2015
- Spatail Evolutionary Games. Workshop on Evolutionary Games. Matheamtical Biosciences Institute. April 27, 2015 - May 1, 2015 2015
- Truth is stranger than fiction: a look at some improbabilities. Evans-Hall Lecture. Emory University. April 24, 2014 2014
- Spatial Moran Model. Workshop on Mathematical Oncology. Fields Institute. March 2014 2014
- A branching process model of ovarian cancer. November 26, 2012 2012
- Evolving voter model. November 26, 2012 2012
- Branching process moidels of ovarian cancer progression. January 7, 2012 2012
- The evolving voter model. November 20, 2011 2011
- Cancer causes stable laws. September 14, 2011 2011
- IMS Wald Lectures. July 29, 2008 2008
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Service to the Profession
- AMS council. 2014 - 2016 2014 - 2016
- Member of organzing committee : MBI year on Cancer and its Environment. 2014 - 2015 2014 - 2015
- member of the organizing committee : Evolutionary Biology and the Theory of Computing. 2014 2014
- member of organizing committee : Semester on Biodiversity and Evolution. July 2013 - December 2012 2013 - 2012
- AMS Steele Prize Committee. 2013 - 2015 2013 - 2015
- IMS Council. 2013 - 2015 2013 - 2015
- Member of organizing committee : MBI year on Stochastics in Biological Systems. December 12, 2012 2012
- Workshop for Women in Probability. November 26, 2012 2012
- member of organizing committee : Southeastern Probability Conference. 2011 - 2014 2011 - 2014
- SAMSI Directorate. July 1, 2010 2010
- AMS Nominations Committee. July 1, 2009 - June 30, 2012 2009 - 2012
- Associate Editor, IMS Bulletin. January 1, 2008 - December 31, 2012 2008 - 2012
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