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 277080320
 Dept Of Math, Box 90320, Durham, NC 277080320
 rtd@math.duke.edu (919) 6606970
 www.math.duke.edu/~rtd/
 Background

Education, Training, & Certifications
 Ph.D., Stanford University 1976
 Recognition

In the News

MAR 16, 2016 
NOV 4, 2015 Scientific Computing 
NOV 2, 2015 
MAR 26, 2015 Bioscience Technology 
SEP 25, 2014 
SEP 23, 2014 
FEB 20, 2013


Awards & Honors
 Fellow. American Mathematical Society, inaugural class of fellows. 2013
 Fellow. American Mathematical Society. 2013
 Fellow. American Association for the Advancement of Science. July 2009
 AAAS Fellows. American Academy of Arts and Sciences. 2008
 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

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, 585587. January 1, 2008. Full Text

Journal Articles
 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 plasmidmediated antibiotic resistance." Nature communications 8, no. 1 (November 22, 2017): 1689. Full Text
 Tomasetti, C, Durrett, R, Kimmel, M, Lambert, A, Parmigiani, G, Zauber, A, and Vogelstein, B. "Role of stemcell divisions in cancer risk." Nature 548, no. 7666 (August 9, 2017): E13E14. Full Text
 Huo, R, and Durrett, R. "Latent voter model on locally treelike random graphs." Stochastic Processes and their Applications (August 2017). 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): 60466051. Full Text
 Bessonov, M, and Durrett, R. "Phase transitions for a planar quadratic contact process." Advances in Applied Mathematics 87 (June 2017): 82107. Full Text
 Durrett, R, and Fan, WTL. "Genealogies in expanding populations." The Annals of Applied Probability 26, no. 6 (December 2016): 34563490. 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): 23882409. 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): 13691400. 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): 34343464. Full Text
 Talkington, A, and Durrett, R. "Estimating Tumor Growth Rates In Vivo." Bulletin of mathematical biology 77, no. 10 (October 19, 2015): 19341954. Full Text
 Varghese, C, and Durrett, R. "Spatial networks evolving to reduce length." Journal of Complex Networks 3, no. 3 (September 2015): 411430. 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. 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): 104115. Full Text
 Magura, SR, Pong, VH, Durrett, R, and Sivakoff, D. "Two evolving social network models." Alea 12, no. 2 (January 1, 2015): 699715.
 Aristotelous, AC, and Durrett, R. "Fingering in Stochastic Growth Models." Experimental Mathematics 23, no. 4 (October 2, 2014): 465474. 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): 1403614041. Full Text
 Aristotelous, AC, and Durrett, R. "Chemical evolutionary games." Theoretical population biology 93 (May 2014): 113. 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
 Durrett, R. "Cancer modeling: A personal perspective." Notices of the American Mathematical Society 60, no. 3 (2013): 304309. 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." J Theor Biol 314 (December 7, 2012): 1015. Full Text Link to Item
 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): 36823687. Full Text Link to Item
 Durrett, R, and Chatterjee, S. "A first order phase transition in the threshold theta contact process on random rregular graphs and trees (Accepted)." Stoch. Proc. Appl. (2012). (Academic Article)
 Durrett, R, and Remenik, D. "Evolution of dispersal distance." Journal of Mathematical Biology 64, no. 4 (2012): 657666. 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): 228246. Full Text
 Chatterjee, S, and Durrett, R. "Asymptotic behavior of Aldous' gossip process." Annals of Applied Probability 21, no. 6 (2011): 24472482. Full Text
 Cox, JT, Durrett, R, and Perkins, E. "Voter model perturbations and reaction diffusion equations (Accepted)." Asterique (2011). (Academic Article)
 Durrett, R, Foo, J, Leder, K, Mayberry, J, and Michor, F. "Intratumor heterogeneity in evolutionary models of tumor progression." Genetics 188, no. 2 (2011): 461477. Full Text
 Durrett, R, and Chatterjee, S. "Persistence of activity in random Boolean networks." Random Structures and Algorithms 39 (2011): 228246. (Academic Article)
 Durrett, R, and Mayberry, J. "Traveling waves of selective sweeps." Annals of Applied Probability 21, no. 2 (2011): 699744. Full Text
 Durrett, R, and Remenik, D. "Brunetderrida particle systems, free boundary problems and wienerhopf equations." Annals of Probability 39, no. 6 (2011): 20432078. Full Text
 Durrett, R. "Population genetics of neutral mutations in exponentially growing cancer cell populations (Accepted)." Annals of Applied Probability (2011). (Academic Article)
 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): 5466. Full Text
 Durrett, R, and Mayberry, J. "Evolution in predatorprey systems." Stochastic Processes and their Applications 120, no. 7 (2010): 13641392. 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 (2010): 4248. 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 (2010): 44914498. Full Text
 Chan, B, Durrett, R, and Lanchier, N. "Coexistence in a particle system with seasons." Ann. Appl. Probab. 19 (2009): 19211943. (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): 19211943. Full Text
 Chatterjee, S, and Durrett, R. "Contact processes on random graphs with power law degree distributions have critical value 0." Annals of Probability 37, no. 6 (2009): 23322356. Full Text
 Durrett, R, Schmidt, D, and Schweinsberg, J. "A waiting time problem arising from the study of multistage carcinogenesis." Annals of Applied Probability 19, no. 2 (2009): 676718. Full Text
 Durrett, R, and Popovic, L. "Degenerate diffusions arising from gene duplication models." Annals of Applied Probability 19, no. 1 (2009): 1548. Full Text
 Durrett, R, and Remenik, D. "Chaos in a spatial epidemic model." Annals of Applied Probability 19, no. 4 (2009): 16561685. Full Text
 Durrett, R, and Schmidt, D. "Reply to Michael Behe." Genetics 181, no. 2 (2009): 821822. Full Text
 Durrett, R. "SPecial invited paper coexistence in stochastic spatial models." Annals of Applied Probability 19, no. 2 (2009): 477496. 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): 12791293. Full Text
 Berestycki, N, and Durrett, R. "Limiting behavior for the distance of a random walk." Electronic Journal of Probability 13 (2008): 374395.
 Durrett, R, and Lanchier, N. "Coexistence in hostpathogen systems." Stochastic Processes and their Applications 118, no. 6 (2008): 10041021. Full Text
 Durrett, R, and Restrepo, M. "Onedimensional stepping stone models, sardine genetics and Brownian local time." Annals of Applied Probability 18, no. 1 (2008): 334358. 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): 15011509. Full Text
 HuertaSanchez, E, Durrett, R, and Bustamante, CD. "Population genetics of polymorphism and divergence under fluctuating selection." Genetics 178, no. 1 (2008): 325337. 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): 969981. (Academic Article)
 De, A, and Durrett, R. "Steppingstone spatial structure causes slow decay of linkage disequilibrium and shifts the site frequency spectrum." Genetics 176, no. 2 (2007): 969981. 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): 19101927. Full Text
 Durrett, R, and Schmidt, D. "Waiting for regulatory sequences to appear." Annals of Applied Probability 17, no. 1 (2007): 132. Full Text
 Durrett, R, and Zähle, I. "On the width of hybrid zones." Stochastic Processes and their Applications 117, no. 12 (2007): 17511763. Full Text
 HuertaSanchez, E, and Durrett, R. "Wagner's canalization model." Theoretical Population Biology 71, no. 2 (2007): 121130. 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): 203233. Full Text
 Chan, B, and Durrett, R. "A new coexistence result for competing contact processes." Annals of Applied Probability 16, no. 3 (2006): 11551165. Full Text
 Durrett, R. "Random graph dynamics." Random Graph Dynamics (January 1, 2006): 1212. Full Text
 Blasiak, J, and Durrett, R. "Random Oxford graphs." Stochastic Processes and their Applications 115, no. 8 (2005): 12571278. Full Text
 Durrett, R, Mytnik, L, and Perkins, E. "Competing superBrownian motions as limits of interacting particle systems." Electronic Journal of Probability 10, no. 0 (2005): 11471220. Full Text
 Durrett, R, Mytnik, L, and Perkins, E. "Competing superBrownian 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): 267286. 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): 16281657. Full Text
 Durrett, R, and Schweinsberg, J. "Power laws for family sizes in a duplication model." Annals of Probability 33, no. 6 (2005): 20942126. 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): 15911651. 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): 159168. 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): 671699. Full Text
 Durrett, R, Nielsen, R, and York, TL. "Bayesian Estimation of Genomic Distance." Genetics 166, no. 1 (2004): 621629. Full Text
 Durrett, R, and Schweinsberg, J. "Approximating selective sweeps." Theoretical Population Biology 66, no. 2 (2004): 129138. 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): 383395. Full Text
 Schmidt, D, and Durrett, R. "Adaptive evolution drives the diversification of zincfinger binding domains." Molecular Biology and Evolution 21, no. 12 (2004): 23262339. 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): 93100. Full Text
 Calabrese, P, and Durrett, R. "Dinucleotide repeats in the drosophila and human genomes have complex, lengthdependent mutation processes." Molecular Biology and Evolution 20, no. 5 (2003): 715725. Full Text
 Cox, T, and Durrett, R. "Erratum: The stepping stone model: New formulas expose old myths (The Annals of Applied Probability (2002) 12 (13481377))." 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): 17131753. Full Text
 Durrett, R. "Shuffling Chromosomes." Journal of Theoretical Probability 16, no. 3 (2003): 725750. 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, XL, 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): 737775. Full Text
 Buttel, LA, Durrett, R, and Levin, SA. "Competition and Species Packing in Patchy Environments." Theoretical Population Biology 61, no. 3 (2002): 265276. Full Text
 Cox, JT, and Durrett, R. "The stepping stone model: New formulas expose old myths." Annals of Applied Probability 12, no. 4 (2002): 13481377. Full Text
 Durrett, R, Kesten, H, and Limic, V. "Once edgereinforced random walk on a tree." Probability Theory and Related Fields 122, no. 4 (2002): 567592. 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): 301309. Full Text
 Durrett, R. "Mutual invadability implies coexistence in spatial models." Memoirs of the American Mathematical Society , no. 740 (2002).
 Durrett, RT, Chen, KY, and Tanksley, SD. "A simple formula useful for positional cloning." Genetics 160, no. 1 (2002): 353355.
 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): 805818. 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): 839852.
 Arkendra, DE, Ferguson, M, Sindi, S, and Durrett, R. "The equilibrium distribution for a generalized SankoffFerretti model accurately predicts chromosome size distributions in a wide variety of species." Journal of Applied Probability 38, no. 2 (2001): 324334. Full Text
 Diaconis, P, and Durrett, R. "Chutes and Ladders in Markov Chains." Journal of Theoretical Probability 14, no. 3 (2001): 899926. 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): 124. Full Text
 Sundell, NM, and Durrett, RT. "Exponential distance statistics to detect the effects of population subdivision." Theoretical Population Biology 60, no. 2 (2001): 107116. Full Text
 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): 617627.
 Cox, JT, Durrett, R, and Perkins, EA. "Rescaled voter models converge to superBrownian motion." Annals of Probability 28, no. 1 (2000): 185234.
 Durrett, R, Buttel, L, and Harrison, R. "Spatial models for hybrid zones." Heredity 84, no. 1 (2000): 919. Full Text
 Durrett, R, and Levin, S. "Lessons on pattern formation from planet WATOR." Journal of Theoretical Biology 205, no. 2 (2000): 201214. Full Text
 Durrett, R, and Schinazi, RB. "Boundary Modified Contact Processes." Journal of Theoretical Probability 13, no. 2 (2000): 575594.
 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 (2000): 12101219.
 Liu, YC, Durrett, R, and Milgroom, MG. "A spatiallystructured stochastic model to simulate heterogenous transmission of viruses in fungal populations." Ecological Modelling 127, no. 23 (2000): 291308. 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 (2000): 407420.
 Durrett, R, Granovsky, BL, and Gueron, S. "The Equilibrium Behavior of Reversible CoagulationFragmentation Processes." Journal of Theoretical Probability 12, no. 2 (1999): 447474.
 Durrett, R, and Kruglyak, S. "A new stochastic model of microsatellite evolution." Journal of Applied Probability 36, no. 3 (January 1, 1999): 621631. Full Text
 Durrett, R, and Kruglyak, S. "A new stochastic model of microsatellite evolution." Journal of Applied Probability 36, no. 3 (1999): 621631.
 Durrett, R, and Perkins, EA. "Rescaled contact processes converge to superBrownian motion in two or more dimensions." Probability Theory and Related Fields 114, no. 3 (1999): 309399.
 Durrett, R. "Stochastic spatial models." SIAM Review 41, no. 4 (1999): 677718.
 Molofsky, J, Durrett, R, Dushoff, J, Griffeath, D, and Levin, S. "Local frequency dependence and global coexistence." Theoretical Population Biology 55, no. 3 (1999): 270282. Full Text
 Bramson, M, Cox, JT, and Durrett, R. "A spatial model for the abundance of species." Annals of Probability 26, no. 2 (1998): 658709.
 Durrett, R, and Levin, S. "Spatial aspects of interspecific competition." Theoretical Population Biology 53, no. 1 (1998): 3043. Full Text
 Durrett, R, and Levin, S. "Erratum: Spatial aspects of interspecific competition (Theoretical Population Biology (1998) 53:1 (3043))." Theoretical Population Biology 53, no. 3 (1998): 284. Full Text
 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 (1998): 1077410778. Full Text
 Allouba, H, Durrett, R, Hawkes, J, and Perkins, E. "SuperTree Random Measures." Journal of Theoretical Probability 10, no. 3 (1997): 773794.
 Chen, ZQ, Durrett, R, and Ma, G. "Holomorphic diffusions and boundary behavior of harmonic functions." Annals of Probability 25, no. 3 (1997): 11031134.
 Durrett, R, and Levin, S. "Allelopathy in spatially distributed populations." Journal of Theoretical Biology 185, no. 2 (1997): 165171. Full Text
 Durrett, R, and Neuhauser, C. "Coexistence results for some competition models." Annals of Applied Probability 7, no. 1 (1997): 1045.
 Bramson, M, Cox, JT, and Durrett, R. "Spatial models for species area curves." Annals of Probability 24, no. 4 (1996): 17271751.
 Durrett, R, and Levin, S. "Spatial models for speciesarea curves." Journal of Theoretical Biology 179, no. 2 (1996): 119127. Full Text
 Cox, JT, and Durrett, R. "Hybrid zones and voter model interfaces." Bernoulli 1, no. 4 (January 1, 1995): 343370. Full Text
 Durrett, R, and Levin, S. "The importance of being discrete (and spatial)." Theoretical Population Biology 46, no. 3 (1994): 363. 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): 329350.
 Durrett, R, and Swindle, G. "Coexistence results for catalysts." Probability Theory and Related Fields 98, no. 4 (1994): 489515. Full Text
 Durrett, R, and Griffeath, D. "Asymptotic Behavior of Excitable Cellular Automata." Experimental Mathematics 2, no. 3 (January 1993): 183208. Full Text
 Durrett, R. "Multicolor particle systems with large threshold and range." Journal of Theoretical Probability 5, no. 1 (1992): 127152. Full Text
 Durrett, RT, and Rogers, LCG. "Asymptotic behavior of Brownian polymers." Probability Theory and Related Fields 92, no. 3 (1992): 337349. Full Text
 Bramson, M, Wanding, D, and Durrett, R. "Annihilating branching processes." Stochastic Processes and their Applications 37, no. 1 (1991): 117.
 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): 325332. Full Text
 Durrett, R, Kesten, H, and Waymire, E. "On weighted heights of random trees." Journal of Theoretical Probability 4, no. 1 (1991): 223237. Full Text
 Durrett, R, and Møller, AM. "Complete convergence theorem for a competition model." Probability Theory and Related Fields 88, no. 1 (1991): 121136. Full Text
 Durrett, R, and Steif, JE. "Some rigorous results for the GreenbergHastings Model." Journal of Theoretical Probability 4, no. 4 (1991): 669690. Full Text
 Durrett, R, and Swindle, G. "Are there bushes in a forest?." Stochastic Processes and their Applications 37, no. 1 (1991): 1931.
 Cox, JT, and Durrett, R. "Large deviations for independent random walks." Probability Theory and Related Fields 84, no. 1 (1990): 6782. Full Text
 Ding, WD, Durrett, R, and Liggett, TM. "Ergodicity of reversible reaction diffusion processes." Probability Theory and Related Fields 85, no. 1 (1990): 1326. Full Text
 Jinwen, C, Durrett, R, and Xiufang, L. "Exponential convergence for one dimensional contact processes." Acta Mathematica Sinica 6, no. 4 (1990): 349353. Full Text
 Durrett, R, Schonmann, RH, and Tanaka, NI. "Correlation lengths for oriented percolation." Journal of Statistical Physics 55, no. 56 (1989): 965979. Full Text
 Durrett, R, and Tanaka, NI. "Scaling inequalities for oriented percolation." Journal of Statistical Physics 55, no. 56 (1989): 981995. 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): 117144. 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): 293298. Full Text
 Bramson, M, and Durrett, R. "Random walk in random environment: A counterexample?." Communications in Mathematical Physics 119, no. 2 (1988): 199211. 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): 307324. 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): 171191.
 Durrett, R, and Schonmann, RH. "Large deviations for the contact process and two dimensional percolation." Probability Theory and Related Fields 77, no. 4 (1988): 583603. Full Text
 Durrett, R. "Crabgrass, measles, and gypsy moths: An introduction to interacting particle systems." The Mathematical Intelligencer 10, no. 2 (1988): 3747. Full Text
 Brennan, MD, and Durrett, R. "Splitting intervals II: Limit laws for lengths." Probability Theory and Related Fields 75, no. 1 (1987): 109127. 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): 15211530. Full Text
 Chayes, JT, Chayes, L, and Durrett, R. "Critical behavior of the twodimensional first passage time." Journal of Statistical Physics 45, no. 56 (1986): 933951. Full Text
 Durrett, R. "Multidimensional random walks in random environments with subclassical limiting behavior." Communications in Mathematical Physics 104, no. 1 (1986): 87102. Full Text
 Durrett, R, and Nguyen, B. "Thermodynamic inequalities for percolation." Communications in Mathematical Physics 99, no. 2 (1985): 253269. Full Text
 Durrett, R. "Some general results concerning the critical exponents of percolation processes." Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 69, no. 3 (1985): 421437. Full Text
 Chung, KL, Durrett, R, and Zhao, Z. "Extension of domains with finite gauge." Mathematische Annalen 264, no. 1 (1983): 7379. 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): 151151. Full Text
 Durrett, R, and Liggett, TM. "Fixed points of the smoothing transformation." Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 64, no. 3 (1983): 275301. Full Text
 Durrett, R. "Maxima of branching random walks." Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 62, no. 2 (1983): 165170. Full Text
 Durrett, R, and Griffeath, D. "Contact processes in several dimensions." Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 59, no. 4 (1982): 535552. Full Text
 Durrett, R. "An introduction to infinite particle systems." Stochastic Processes and their Applications 11, no. 2 (1981): 109150. Full Text
 Durrett, R. "Conditioned limit theorems for random walks with negative drift." Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 52, no. 3 (1980): 277287. 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): 15691578.
 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): 15691578.
 Durrett, R. "Maxima of branching random walks vs. independent random walks." Stochastic Processes and their Applications 9, no. 2 (1979): 117135.
 Durrett, R. "The genealogy of critical branching processes." Stochastic Processes and their Applications 8, no. 1 (1978): 101116.
 Durrett, RT, and Resnick, SI. "Weak convergence with random indices." Stochastic Processes and their Applications 5, no. 3 (1977): 213220. Full Text
 Chung, KL, and Durrett, R. "Downcrossings and local time." Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 35, no. 2 (1976): 147149. Full Text
 Durrett, RT, and Ghurye, SG. "WAITING TIMES WITHOUT MEMORY." J Appl Probab 13, no. 1 (1976): 6575.
 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: 699715. Open Access Copy
 Durrett, RT, and Varghese, C. "Evolving spatial networks to minimize length." Journal of Complex Networks 3, no. 3: 411430. 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 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 79077: Current Research in Mathematical Biology 2016
 STA 230: Probability 2016
 STA 231: Advanced Introduction to Probability 2016
 Scholarly, Clinical, & Service Activities

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. EvansHall 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

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.