Richard Timothy Durrett | Scholars@Duke

Richard Timothy Durrett
James B. Duke Professor of Mathematics

Current Research Interests

My favorite research topics are problems in probability that arise from questions in ecology, genetics, and cancer modeling.

Current Appointments & Affiliations

James B. Duke Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2010
Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2010
Director of Graduate Studies of Mathematics, Mathematics, Trinity College of Arts & Sciences 2014

Contact Information

105 Physics Building, Box 90320, Durham, NC 27708-0320
Dept Of Math, Box 90320, Durham, NC 27708-0320
rtd@math.duke.edu (919) 660-6970
www.math.duke.edu/~rtd/

Background
Education, Training, & Certifications
- Ph.D., Stanford University 1976
Recognition
In the News
- MAR 16, 2016
  
  New Collaborative Seed Grant Program Gives Eight Awards
- NOV 4, 2015 Scientific Computing
  
  Mathematical models key to designing better cancer treatment strategies
- NOV 2, 2015
  
  Predicting Cancer’s Growth When Clues Are Hard To Come By
- MAR 26, 2015 Bioscience Technology
  
  Why some HPV infections go away and others become cancer
- SEP 25, 2014
  
  An Intersection of Math and Medicine: Modeling Cancerous Tumor Kinetics
- SEP 23, 2014
  
  Could Suburban Sprawl Be Good For Integration?
- FEB 20, 2013
  
  Factoring in the Deadly Math of Cancer
Awards & Honors
Expertise
Subject Headings
Research
Selected Grants
- Voters, games, and epidemics on random graphs awarded by National Science Foundation 2018 - 2021
- Collaborative Research: The role of spatial interactions in determining the distribution of savanna and forest awarded by National Science Foundation 2016 - 2019
- Mathematical Analysis of Spatial Cancer Models 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 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
Selected Publications
- Book Sections
  - Chung, KL, Durrett, R, and Durrett, R. "Downcrossings and local time." In Selected Works of Kai Lai Chung, 585-587. January 1, 2008. Full Text
- Journal Articles
  - Ma, R, and Durrett, R. "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. Full Text
  - Wang, Z, and Durrett, R. "Extrapolating weak selection in evolutionary games." Journal of Mathematical Biology (July 28, 2018). Full Text
  - Huo, R, and Durrett, R. "Latent voter model on locally tree-like random graphs." Stochastic Processes and Their Applications 128, no. 5 (May 2018): 1590-1614. Full Text Open Access Copy
  - Gleeson, JP, and Durrett, R. "Temporal profiles of avalanches on networks." Nature Communications 8, no. 1 (December 2017). Full Text
  - Lopatkin, AJ, Meredith, HR, Srimani, JK, Pfeiffer, C, Durrett, R, and You, L. "Persistence and reversal of plasmid-mediated antibiotic resistance." Nature Communications 8, no. 1 (November 22, 2017): 1689-null. Full Text
  - Tomasetti, C, Durrett, R, Kimmel, M, Lambert, A, Parmigiani, G, Zauber, A, and Vogelstein, B. "Role of stem-cell divisions in cancer risk." Nature 548, no. 7666 (August 9, 2017): E13-E14. Full Text
  - Nanda, M, and Durrett, R. "Spatial evolutionary games with weak selection." Proceedings of the National Academy of Sciences 114, no. 23 (June 6, 2017): 6046-6051. Full Text
  - Bessonov, M, and Durrett, R. "Phase transitions for a planar quadratic contact process." Advances in Applied Mathematics 87 (June 2017): 82-107. Full Text
  - Durrett, R, and Fan, W-TL. "Genealogies in expanding populations." The Annals of Applied Probability 26, no. 6 (December 2016): 3456-3490. Full Text
  - Cox, JT, and Durrett, R. "Evolutionary games on the torus with weak selection." Stochastic Processes and their Applications 126, no. 8 (August 2016): 2388-2409. Full Text
  - Ryser, MD, Worni, M, Turner, EL, Marks, JR, Durrett, R, and Hwang, ES. "Outcomes of Active Surveillance for Ductal Carcinoma in Situ: A Computational Risk Analysis." JNCI Journal of the National Cancer Institute 108, no. 5 (May 2016). Full Text
  - Durrett, R, Foo, J, and Leder, K. "Spatial Moran models, II: cancer initiation in spatially structured tissue." Journal of mathematical biology 72, no. 5 (April 2016): 1369-1400. Full Text
  - Durrett, R, and Zhang, Y. "Coexistence of grass, saplings and trees in the Staver–Levin forest model." The Annals of Applied Probability 25, no. 6 (December 2015): 3434-3464. Full Text
  - Talkington, A, and Durrett, R. "Estimating Tumor Growth Rates In Vivo." Bulletin of mathematical biology 77, no. 10 (October 19, 2015): 1934-1954. Full Text
  - Varghese, C, and Durrett, R. "Spatial networks evolving to reduce length." Journal of Complex Networks 3, no. 3 (September 2015): 411-430. Full Text
  - Ryser, MD, Myers, ER, and Durrett, R. "HPV clearance and the neglected role of stochasticity." Plos Computational Biology 11, no. 3 (March 13, 2015): e1004113-null. Full Text Open Access Copy
  - Durrett, R, and Moseley, S. "Spatial Moran models I. Stochastic tunneling in the neutral case." The Annals of Applied Probability 25, no. 1 (February 2015): 104-115. Full Text
  - Magura, SR, Pong, VH, Durrett, R, and Sivakoff, D. "Two evolving social network models." Alea 12, no. 2 (January 1, 2015): 699-715.
  - Aristotelous, AC, and Durrett, R. "Fingering in Stochastic Growth Models." Experimental Mathematics 23, no. 4 (October 2, 2014): 465-474. Full Text
  - Durrett, R, and Zhang, Y. "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 15, 2014): 14036-14041. Full Text
  - Aristotelous, AC, and Durrett, R. "Chemical evolutionary games." Theoretical population biology 93 (May 2014): 1-13. Full Text
  - Durrett, R, Liggett, T, and Zhang, Y. "The contact process with fast voting." Electronic Journal of Probability 19, no. 0 (2014). Full Text
  - Durrett, R. "Spatial evolutionary games with small selection coefficients." Electronic Journal of Probability 19, no. 0 (2014). Full Text
  - Shi, F, Mucha, PJ, and Durrett, R. "Multiopinion coevolving voter model with infinitely many phase transitions." Physical Review E 88, no. 6 (December 2013). Full Text
  - Chatterjee, S, and Durrett, R. "A first order phase transition in the threshold θ≥2 contact process on random r-regular graphs and r-trees." Stochastic Processes and Their Applications 123, no. 2 (February 2013): 561-578. Full Text
  - Durrett, R. "Population genetics of neutral mutations in exponentially growing cancer cell populations." The Annals of Applied Probability 23, no. 1 (February 2013): 230-250. Full Text
  - Durrett, R. "Cancer modeling: A personal perspective." Notices of the American Mathematical Society 60, no. 3 (2013): 304-309. Full Text
  - Mode, CJ, Durrett, R, Klebaner, F, and Olofsson, P. "Applications of stochastic processes in biology and medicine." International Journal of Stochastic Analysis 2013 (2013). Full Text
  - Varghese, C, and Durrett, R. "Phase transitions in the quadratic contact process on complex networks." Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 87, no. 6 (2013). Full Text
  - Danesh, K, Durrett, R, Havrilesky, LJ, and Myers, E. "A branching process model of ovarian cancer." Journal of Theoretical Biology 314 (December 2012): 10-15. Full Text
  - Durrett, R, Gleeson, JP, Lloyd, AL, Mucha, PJ, Shi, F, Sivakoff, D, Socolar, JES, and Varghese, C. "Graph fission in an evolving voter model." Proc Natl Acad Sci U S A 109, no. 10 (March 6, 2012): 3682-3687. Full Text Link to Item
  - Durrett, R, and Remenik, D. "Evolution of dispersal distance." Journal of Mathematical Biology 64, no. 4 (2012): 657-666. Full Text
  - Durrett, R, and Remenik, D. "Brunet–Derrida particle systems, free boundary problems and Wiener–Hopf equations." The Annals of Probability 39, no. 6 (November 2011): 2043-2078. Full Text
  - Durrett, R, Foo, J, Leder, K, Mayberry, J, and Michor, F. "Intratumor heterogeneity in evolutionary models of tumor progression." Genetics 188, no. 2 (June 2011): 461-477. Full Text
  - Chatterjee, S, and Durrett, R. "Persistence of activity in threshold contact processes, an "Annealed approximation" of random Boolean networks." Random Structures and Algorithms 39, no. 2 (2011): 228-246. Full Text
  - Chatterjee, S, and Durrett, R. "Asymptotic behavior of Aldous' gossip process." Annals of Applied Probability 21, no. 6 (2011): 2447-2482. Full Text
  - Cox, JT, Durrett, R, and Perkins, E. "Voter model perturbations and reaction diffusion equations (Accepted)." Asterique (2011). (Academic Article)
  - Durrett, R, and Chatterjee, S. "Persistence of activity in random Boolean networks." Random Structures and Algorithms 39 (2011): 228-246. (Academic Article)
  - Durrett, R, and Mayberry, J. "Traveling waves of selective sweeps." Annals of Applied Probability 21, no. 2 (2011): 699-744. Full Text
  - Durrett, R, and Mayberry, J. "Evolution in predator–prey systems." Stochastic Processes and Their Applications 120, no. 7 (July 2010): 1364-1392. Full Text
  - Durrett, R. "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): 4491-4498. Full Text
  - Durrett, R, and Moseley, S. "Evolution of resistance and progression to disease during clonal expansion of cancer." Theoretical Population Biology 77, no. 1 (February 2010): 42-48. Full Text
  - Durrett, R, Foo, J, Leder, K, Mayberry, J, and Michor, F. "Evolutionary dynamics of tumor progression with random fitness values." Theoretical Population Biology 78, no. 1 (2010): 54-66. Full Text
  - Chatterjee, S, and Durrett, R. "Contact processes on random graphs with power law degree distributions have critical value 0." The Annals of Probability 37, no. 6 (November 2009): 2332-2356. Full Text
  - Chan, B, Durrett, R, and Lanchier, N. "Coexistence in a particle system with seasons." Ann. Appl. Probab. 19 (2009): 1921-1943. (Academic Article)
  - Chan, B, Durrett, R, and Lanchier, N. "Coexistence for a multitype contact process with seasons." Annals of Applied Probability 19, no. 5 (2009): 1921-1943. Full Text
  - Durrett, R, Schmidt, D, and Schweinsberg, J. "A waiting time problem arising from the study of multi-stage carcinogenesis." Annals of Applied Probability 19, no. 2 (2009): 676-718. Full Text
  - Durrett, R, and Popovic, L. "Degenerate diffusions arising from gene duplication models." Annals of Applied Probability 19, no. 1 (2009): 15-48. Full Text
  - Durrett, R, and Remenik, D. "Chaos in a spatial epidemic model." Annals of Applied Probability 19, no. 4 (2009): 1656-1685. Full Text
  - Durrett, R, and Schmidt, D. "Reply to Michael Behe." Genetics 181, no. 2 (2009): 821-822. Full Text
  - Durrett, R. "SPecial invited paper coexistence in stochastic spatial models." Annals of Applied Probability 19, no. 2 (2009): 477-496. Full Text
  - Wu, F, Eannetta, NT, Xu, Y, Durrett, R, Mazourek, M, Jahn, MM, and Tanksley, SD. "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." Theoretical and Applied Genetics 118, no. 7 (2009): 1279-1293. Full Text
  - Berestycki, N, and Durrett, R. "Limiting behavior for the distance of a random walk." Electronic Journal of Probability 13 (2008): 374-395.
  - Durrett, R, and Lanchier, N. "Coexistence in host-pathogen systems." Stochastic Processes and their Applications 118, no. 6 (2008): 1004-1021. Full Text
  - Durrett, R, and Restrepo, M. "One-dimensional stepping stone models, sardine genetics and Brownian local time." Annals of Applied Probability 18, no. 1 (2008): 334-358. Full Text
  - Durrett, R, and Schmidt, D. "Waiting for two mutations: With applications to regulatory sequence evolution and the limits of Darwinian evolution." Genetics 180, no. 3 (2008): 1501-1509. Full Text
  - Huerta-Sanchez, E, Durrett, R, and Bustamante, CD. "Population genetics of polymorphism and divergence under fluctuating selection." Genetics 178, no. 1 (2008): 325-337. Full Text
  - De, A, and Durrett, R. "Spatial structure of the human population contributes to the slow decay of linkage diseqeuilibrium and shifts the site frequency spectrum." Genetics 176 (2007): 969-981. (Academic Article)
  - De, A, and Durrett, R. "Stepping-stone spatial structure causes slow decay of linkage disequilibrium and shifts the site frequency spectrum." Genetics 176, no. 2 (2007): 969-981. Full Text
  - Durrett, R, and Jung, P. "Two phase transitions for the contact process on small worlds." Stochastic Processes and their Applications 117, no. 12 (2007): 1910-1927. Full Text
  - Durrett, R, and Schmidt, D. "Waiting for regulatory sequences to appear." Annals of Applied Probability 17, no. 1 (2007): 1-32. Full Text
  - Durrett, R, and Zähle, I. "On the width of hybrid zones." Stochastic Processes and their Applications 117, no. 12 (2007): 1751-1763. Full Text
  - Huerta-Sanchez, E, and Durrett, R. "Wagner's canalization model." Theoretical Population Biology 71, no. 2 (2007): 121-130. Full Text
  - Sainudiin, R, Clark, AG, and Durrett, RT. "Simple models of genomic variation in human SNP density." BMC Genomics 8 (2007). Full Text
  - York, TL, Durrett, R, and Nielsen, R. "Dependence of paracentric inversion rate on tract length." BMC Bioinformatics 8 (2007). Full Text
  - Berestycki, N, and Durrett, R. "A phase transition in the random transposition random walk." Probability Theory and Related Fields 136, no. 2 (2006): 203-233. Full Text
  - Chan, B, and Durrett, R. "A new coexistence result for competing contact processes." Annals of Applied Probability 16, no. 3 (2006): 1155-1165. Full Text
  - Durrett, R. "Random graph dynamics." Random Graph Dynamics (January 1, 2006): 1-212. Full Text
  - Blasiak, J, and Durrett, R. "Random Oxford graphs." Stochastic Processes and their Applications 115, no. 8 (2005): 1257-1278. Full Text
  - Durrett, R, Mytnik, L, and Perkins, E. "Competing super-Brownian motions as limits of interacting particle systems." Electronic Journal of Probability 10, no. 0 (2005): 1147-1220. Full Text
  - Durrett, R, Mytnik, L, and Perkins, E. "Competing super-Brownian motions as limits of interacting particle systems." Electronic Journal of Probability 10 (2005).
  - Durrett, R, and Levin, SA. "Can stable social groups be maintained by homophilous imitation alone?." Journal of Economic Behavior and Organization 57, no. 3 (2005): 267-286. Full Text
  - Durrett, R, and Schweinsberg, J. "A coalescent model for the effect of advantageous mutations on the genealogy of a population." Stochastic Processes and their Applications 115, no. 10 (2005): 1628-1657. Full Text
  - Durrett, R, and Schweinsberg, J. "Power laws for family sizes in a duplication model." Annals of Probability 33, no. 6 (2005): 2094-2126. Full Text
  - Schweinsberg, J, and Durrett, R. "Random partitions approximating the coalescence of lineages during a selective sweep." Annals of Applied Probability 15, no. 3 (2005): 1591-1651. Full Text
  - York, TL, Durrett, RT, Tanksley, S, and Nielsen, R. "Bayesian and maximum likelihood estimation of genetic maps." Genetical Research 85, no. 2 (2005): 159-168. Full Text
  - Zähle, I, Cox, JT, and Durrett, R. "The stepping stone model. II: Genealogies and the infinite sites model." Annals of Applied Probability 15, no. 1 B (2005): 671-699. Full Text
  - Durrett, R, Nielsen, R, and York, TL. "Bayesian Estimation of Genomic Distance." Genetics 166, no. 1 (2004): 621-629. Full Text
  - Durrett, R, and Schweinsberg, J. "Approximating selective sweeps." Theoretical Population Biology 66, no. 2 (2004): 129-138. Full Text
  - Sainudiin, R, Durrett, RT, Aquadro, CF, and Nielsen, R. "Microsatellite mutation models: Insights from a comparison of humans and chimpanzees." Genetics 168, no. 1 (2004): 383-395. Full Text
  - Schmidt, D, and Durrett, R. "Adaptive evolution drives the diversification of zinc-finger binding domains." Molecular Biology and Evolution 21, no. 12 (2004): 2326-2339. Full Text
  - Ward, R, and Durrett, R. "Subfunctionalization: How often does it occur? How long does it take?." Theoretical Population Biology 66, no. 2 (2004): 93-100. Full Text
  - Calabrese, P, and Durrett, R. "Dinucleotide repeats in the drosophila and human genomes have complex, length-dependent mutation processes." Molecular Biology and Evolution 20, no. 5 (2003): 715-725. Full Text
  - Cox, T, and Durrett, R. "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 (2003): 816--.
  - Durrett, R, and Limic, V. "Rigorous results for the NK model." Annals of Probability 31, no. 4 (2003): 1713-1753. Full Text
  - Durrett, R. "Shuffling Chromosomes." Journal of Theoretical Probability 16, no. 3 (2003): 725-750. Full Text
  - Balding, DJ, Carothers, AD, Marchini, JL, Cardon, LR, Vetta, A, Griffiths, B, Weir, BS, Hill, WG, Goldstein, D, Strimmer, K, Myers, S, Beaumont, MA, Glasbey, CA, Mayer, CD, Richardson, S, Marshall, C, Durrett, R, Nielsen, R, Visscher, PM, Knott, SA, Haley, CS, Ball, RD, Hackett, CA, Holmes, S, Husmeier, D, Jansen, RC, Braak, CJFT, Maliepaard, CA, Boer, MP, Joyce, P, Li, N, Stephens, M, Marcoulides, GA, Drezner, Z, Mardia, K, McVean, G, Meng, X-L, Ochs, MF, Pagel, M, Sha, N, and Vannucci, M 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 (2002): 737-775. Full Text
  - Buttel, LA, Durrett, R, and Levin, SA. "Competition and Species Packing in Patchy Environments." Theoretical Population Biology 61, no. 3 (2002): 265-276. Full Text
  - Cox, JT, and Durrett, R. "The stepping stone model: New formulas expose old myths." Annals of Applied Probability 12, no. 4 (2002): 1348-1377. Full Text
  - Durrett, R, Kesten, H, and Limic, V. "Once edge-reinforced random walk on a tree." Probability Theory and Related Fields 122, no. 4 (2002): 567-592. Full Text
  - Durrett, R, and Limic, V. "A surprising poisson process arising from a species competition model." Stochastic Processes and their Applications 102, no. 2 (2002): 301-309. Full Text
  - Durrett, R. "Mutual invadability implies coexistence in spatial models." Memoirs of the American Mathematical Society , no. 740 (2002).
  - Durrett, RT, Chen, K-Y, and Tanksley, SD. "A simple formula useful for positional cloning." Genetics 160, no. 1 (2002): 353-355.
  - York, TL, Durrett, R, and Nielsen, R. "Bayesian estimation of the number of inversions in the history of two chromosomes." Journal of Computational Biology 9, no. 6 (2002): 805-818. Full Text
  - Calabrese, PP, Durrett, RT, and Aquadro, CF. "Dynamics of microsatellite divergence under stepwise mutation and proportional slippage/point mutation models." Genetics 159, no. 2 (October 2001): 839-852.
  - Arkendra, DE, Ferguson, M, Sindi, S, and Durrett, R. "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 (2001): 324-334. Full Text
  - Diaconis, P, and Durrett, R. "Chutes and Ladders in Markov Chains." Journal of Theoretical Probability 14, no. 3 (2001): 899-926. Full Text
  - Durrett, R, and Limic, V. "On the quantity and quality of single nucleotide polymorphisms in the human genome." Stochastic Processes and their Applications 93, no. 1 (2001): 1-24. Full Text
  - Sundell, NM, and Durrett, RT. "Exponential distance statistics to detect the effects of population subdivision." Theoretical Population Biology 60, no. 2 (2001): 107-116. Full Text
  - Kruglyak, S, Durrett, R, Schug, MD, and Aquadro, CF. "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): 1210-1219. Full Text
  - Vision, TJ, Brown, DG, Shmoys, DB, Durrett, RT, and Tanksley, SD. "Selective mapping: a strategy for optimizing the construction of high-density linkage maps." Genetics 155, no. 1 (May 2000): 407-420.
  - Broughton, RE, Stanley, SE, and Durrett, RT. "Quantification of homoplasy for nucleotide transitions and transversions and a reexamination of assumptions in weighted phylogenetic analysis." Systematic Biology 49, no. 4 (2000): 617-627.
  - Cox, JT, Durrett, R, and Perkins, EA. "Rescaled voter models converge to super-Brownian motion." The Annals of Probability 28, no. 1 (January 2000): 185-234. Full Text
  - Durrett, R, Buttel, L, and Harrison, R. "Spatial models for hybrid zones." Heredity 84, no. 1 (2000): 9-19. Full Text
  - Durrett, R, and Levin, S. "Lessons on pattern formation from planet WATOR." Journal of Theoretical Biology 205, no. 2 (2000): 201-214. Full Text
  - Durrett, R, and Schinazi, RB. "Boundary Modified Contact Processes." Journal of Theoretical Probability 13, no. 2 (2000): 575-594.
  - Liu, Y-C, Durrett, R, and Milgroom, MG. "A spatially-structured stochastic model to simulate heterogenous transmission of viruses in fungal populations." Ecological Modelling 127, no. 2-3 (2000): 291-308. Full Text
  - Molofsky, J, Durrett, R, Dushoff, J, Griffeath, D, and Levin, S. "Local frequency dependence and global coexistence." Theoretical Population Biology 55, no. 3 (June 1999): 270-282. Full Text
  - Durrett, R, Granovsky, BL, and Gueron, S. "The Equilibrium Behavior of Reversible Coagulation-Fragmentation Processes." Journal of Theoretical Probability 12, no. 2 (1999): 447-474.
  - Durrett, R, and Kruglyak, S. "A new stochastic model of microsatellite evolution." Journal of Applied Probability 36, no. 3 (January 1, 1999): 621-631. Full Text
  - Durrett, R, and Kruglyak, S. "A new stochastic model of microsatellite evolution." Journal of Applied Probability 36, no. 3 (1999): 621-631.
  - Durrett, R, and Perkins, EA. "Rescaled contact processes converge to super-Brownian motion in two or more dimensions." Probability Theory and Related Fields 114, no. 3 (1999): 309-399.
  - Durrett, R. "Stochastic spatial models." SIAM Review 41, no. 4 (1999): 677-718.
  - Kruglyak, S, Durrett, RT, Schug, MD, and Aquadro, CF. "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): 10774-10778. Full Text
  - Bramson, M, Cox, JT, and Durrett, R. "A spatial model for the abundance of species." Annals of Probability 26, no. 2 (1998): 658-709.
  - Durrett, R, and Levin, S. "Spatial aspects of interspecific competition." Theoretical Population Biology 53, no. 1 (1998): 30-43. Full Text
  - Durrett, R, and Levin, S. "Erratum: Spatial aspects of interspecific competition (Theoretical Population Biology (1998) 53:1 (30-43))." Theoretical Population Biology 53, no. 3 (1998): 284--. Full Text
  - Allouba, H, Durrett, R, Hawkes, J, and Perkins, E. "Super-Tree Random Measures." Journal of Theoretical Probability 10, no. 3 (1997): 773-794.
  - Chen, Z-Q, Durrett, R, and Ma, G. "Holomorphic diffusions and boundary behavior of harmonic functions." Annals of Probability 25, no. 3 (1997): 1103-1134.
  - Durrett, R, and Levin, S. "Allelopathy in spatially distributed populations." Journal of Theoretical Biology 185, no. 2 (1997): 165-171. Full Text
  - Durrett, R, and Neuhauser, C. "Coexistence results for some competition models." Annals of Applied Probability 7, no. 1 (1997): 10-45.
  - Bramson, M, Cox, JT, and Durrett, R. "Spatial models for species area curves." Annals of Probability 24, no. 4 (1996): 1727-1751.
  - Durrett, R, and Levin, S. "Spatial models for species-area curves." Journal of Theoretical Biology 179, no. 2 (1996): 119-127. Full Text
  - Cox, JT, and Durrett, R. "Hybrid zones and voter model interfaces." Bernoulli 1, no. 4 (January 1, 1995): 343-370. Full Text
  - Durrett, R, and Levin, S. "The Importance of Being Discrete (and Spatial)." Theoretical Population Biology 46, no. 3 (December 1994): 363-394. Full Text
  - Durrett, R, and Levin, SA. "Stochastic spatial models: A user's guide to ecological applications." Philosophical Transactions of the Royal Society B: Biological Sciences 343, no. 1305 (1994): 329-350.
  - Durrett, R, and Swindle, G. "Coexistence results for catalysts." Probability Theory and Related Fields 98, no. 4 (1994): 489-515. Full Text
  - Durrett, R, and Griffeath, D. "Asymptotic Behavior of Excitable Cellular Automata." Experimental Mathematics 2, no. 3 (January 1993): 183-208. Full Text
  - Durrett, R. "Multicolor particle systems with large threshold and range." Journal of Theoretical Probability 5, no. 1 (1992): 127-152. Full Text
  - Durrett, RT, and Rogers, LCG. "Asymptotic behavior of Brownian polymers." Probability Theory and Related Fields 92, no. 3 (1992): 337-349. Full Text
  - Bramson, M, Wan-ding, D, and Durrett, R. "Annihilating branching processes." Stochastic Processes and their Applications 37, no. 1 (1991): 1-17.
  - Cox, JT, Durrett, R, and Schinazi, R. "The critical contact process seen from the right edge." Probability Theory and Related Fields 87, no. 3 (1991): 325-332. Full Text
  - Durrett, R, Kesten, H, and Waymire, E. "On weighted heights of random trees." Journal of Theoretical Probability 4, no. 1 (1991): 223-237. Full Text
  - Durrett, R, and Møller, AM. "Complete convergence theorem for a competition model." Probability Theory and Related Fields 88, no. 1 (1991): 121-136. Full Text
  - Durrett, R, and Steif, JE. "Some rigorous results for the Greenberg-Hastings Model." Journal of Theoretical Probability 4, no. 4 (1991): 669-690. Full Text
  - Durrett, R, and Swindle, G. "Are there bushes in a forest?." Stochastic Processes and their Applications 37, no. 1 (1991): 19-31.
  - Cox, JT, and Durrett, R. "Large deviations for independent random walks." Probability Theory and Related Fields 84, no. 1 (1990): 67-82. Full Text
  - Ding, W-D, Durrett, R, and Liggett, TM. "Ergodicity of reversible reaction diffusion processes." Probability Theory and Related Fields 85, no. 1 (1990): 13-26. Full Text
  - Jinwen, C, Durrett, R, and Xiufang, L. "Exponential convergence for one dimensional contact processes." Acta Mathematica Sinica 6, no. 4 (1990): 349-353. Full Text
  - Durrett, R, Schonmann, RH, and Tanaka, NI. "Correlation lengths for oriented percolation." Journal of Statistical Physics 55, no. 5-6 (1989): 965-979. Full Text
  - Durrett, R, and Tanaka, NI. "Scaling inequalities for oriented percolation." Journal of Statistical Physics 55, no. 5-6 (1989): 981-995. Full Text
  - Durrett, R. "Crabgrass, measles and gypsy moths: An introduction to modern probability." Bulletin of the American Mathematical Society 18, no. 2 (April 1, 1988): 117-144. Full Text
  - Bramson, M, and Durrett, R. "A simple proof of the stability criterion of Gray and Griffeath." Probability Theory and Related Fields 80, no. 2 (1988): 293-298. Full Text
  - Bramson, M, and Durrett, R. "Random walk in random environment: A counterexample?." Communications in Mathematical Physics 119, no. 2 (1988): 199-211. Full Text
  - Chayes, JT, Chayes, L, and Durrett, R. "Connectivity properties of Mandelbrot's percolation process." Probability Theory and Related Fields 77, no. 3 (1988): 307-324. Full Text
  - Cox, JT, and Durrett, R. "Limit theorems for the spread of epidemics and forest fires." Stochastic Processes and their Applications 30, no. 2 (1988): 171-191.
  - Durrett, R, and Schonmann, RH. "Large deviations for the contact process and two dimensional percolation." Probability Theory and Related Fields 77, no. 4 (1988): 583-603. Full Text
  - Durrett, R. "Crabgrass, measles, and gypsy moths: An introduction to interacting particle systems." The Mathematical Intelligencer 10, no. 2 (1988): 37-47. Full Text
  - Brennan, MD, and Durrett, R. "Splitting intervals II: Limit laws for lengths." Probability Theory and Related Fields 75, no. 1 (1987): 109-127. Full Text
  - Chayes, JT, Chayes, L, and Durrett, R. "Inhomogeneous percolation problems and incipient infinite clusters." Journal of Physics A: Mathematical and General 20, no. 6 (1987): 1521-1530. Full Text
  - Chayes, JT, Chayes, L, and Durrett, R. "Critical behavior of the two-dimensional first passage time." Journal of Statistical Physics 45, no. 5-6 (1986): 933-951. Full Text
  - Durrett, R. "Multidimensional random walks in random environments with subclassical limiting behavior." Communications in Mathematical Physics 104, no. 1 (1986): 87-102. Full Text
  - Durrett, R, and Nguyen, B. "Thermodynamic inequalities for percolation." Communications in Mathematical Physics 99, no. 2 (1985): 253-269. Full Text
  - Durrett, R. "Some general results concerning the critical exponents of percolation processes." Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 69, no. 3 (1985): 421-437. Full Text
  - Durrett, R, and Liggett, TM. "Fixed points of the smoothing transformation." Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete 64, no. 3 (September 1983): 275-301. Full Text
  - Chung, KL, Durrett, R, and Zhao, Z. "Extension of domains with finite gauge." Mathematische Annalen 264, no. 1 (1983): 73-79. Full Text
  - Cox, JT, and Durrett, R. "Oriented percolation in dimensions d ≥ 4: bounds and asymptotic formulas." Mathematical Proceedings of the Cambridge Philosophical Society 93, no. 01 (January 1983): 151-151. Full Text
  - Durrett, R. "Maxima of branching random walks." Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 62, no. 2 (1983): 165-170. Full Text
  - Durrett, R, and Griffeath, D. "Contact processes in several dimensions." Zeitschrift F�R Wahrscheinlichkeitstheorie Und Verwandte Gebiete 59, no. 4 (1982): 535-552. Full Text
  - Durrett, R. "An introduction to infinite particle systems." Stochastic Processes and their Applications 11, no. 2 (1981): 109-150. Full Text
  - Durrett, R. "Conditioned limit theorems for random walks with negative drift." Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 52, no. 3 (1980): 277-287. Full Text
  - Anthony, PF, Durrett, R, Pulec, JL, and Hartstone, JL. "A new parameter in brain stem evoked response: component wave areas." The Laryngoscope 89, no. 10 Pt 1 (October 1979): 1569-1578.
  - Anthony, PF, Durrett, R, Pulec, JL, and Hartstone, JL. "A new parameter in brain stem evoked response: Component wave areas." Laryngoscope 89, no. 10 I (1979): 1569-1578.
  - Durrett, R. "Maxima of branching random walks vs. independent random walks." Stochastic Processes and their Applications 9, no. 2 (1979): 117-135.
  - Durrett, R. "The genealogy of critical branching processes." Stochastic Processes and their Applications 8, no. 1 (1978): 101-116.
  - Durrett, RT, and Resnick, SI. "Weak convergence with random indices." Stochastic Processes and their Applications 5, no. 3 (1977): 213-220. Full Text
  - Chung, KL, and Durrett, R. "Downcrossings and local time." Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 35, no. 2 (1976): 147-149. Full Text
  - Durrett, RT, and Ghurye, SG. "WAITING TIMES WITHOUT MEMORY." J Appl Probab 13, no. 1 (1976): 65-75.
  - Durrett, RT, and Sivakoff, D. "Two evolving social network models." Alea (Rio de Janeiro): Latin American journal of probability and mathematical statistics XII, no. 2: 699-715. Open Access Copy
  - Durrett, RT, and Varghese, C. "Evolving spatial networks to minimize length." Journal of Complex Networks 3, no. 3: 411-430. Full Text Link to Item
  - Nolen, JH, Cristali, I, Ranjan, V, Steinberg, J, Beckman, E, Durrett, R, and Junge, M. "Block sizes in two families of random permutations (Submitted)." Link to Item
  - Talkington, A, Dantoin, C, and Durrett, R. "Ordinary Differential Equation Models for Adoptive Immunotherapy (Published online)." Bulletin of Mathematical Biology . Full Text
Teaching & Mentoring
Recent Courses
- MATH 394: Research Independent Study 2018
- MATH 491: Independent Study 2018
- MATH 493: Research Independent Study 2018
- MATH 541: Applied Stochastic Processes 2018
- MATH 641: Probability 2018
- STA 621: Applied Stochastic Processes 2018
- MATH 393: Research Independent Study 2017
- MATH 895: Internship 2017
- ECE 392: Projects in Electrical and Computer Engineering 2016
- MATH 230: Probability 2016
- MATH 340: Advanced Introduction to Probability 2016
- MATH 790-77: Current Research in Mathematical Biology 2016
- STA 230: Probability 2016
- STA 231: Advanced Introduction to Probability 2016
Scholarly, Clinical, & Service Activities
Presentations & Appearances
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

Some information on this profile has been compiled automatically from Duke databases and external sources. (Our About page explains how this works.) If you see a problem with the information, please write to Scholars@Duke and let us know. We will reply promptly.

Education, Training, & Certifications

In the News

Awards & Honors

Subject Headings

Selected Grants

Selected Publications

Book Sections

Journal Articles

Recent Courses

Presentations & Appearances

Service to the Profession