Math @ Duke

Books
 R.T. Durrett, Branching process models of cancer
(2015), Springer
 R. Durrett, Probability: Theory and Examples, 4th Edition
(2010), Cambridge U Press
 R. Durrett, Elementary Probability for Applications, 4th Edition
(2009),
pp. x+243, Cambridge University Press, Cambridge, ISBN 9780521867566 [MR2537423 (2010i:60003)]
 R. Durrett, Probability Models of DNA Sequence Evolution, 2nd Edition
(2006), Springer
 R. Durrett, Essentials of Stochastic Processes
(1998), SpringerVerlag
 R. Durrett, Stochastic Calculus: A Practrical Introduction
(1996), CRC Press
 R. Durrett, Lecture Notes on Particle Systems and Percolation
(1988), Wadsworth
 R. Durrett, Brownian Motion and Martingales in Analysis
(1984), Wadsworth
Papers Published
 Cristali, I; Junge, M; Durrett, R, Poisson percolation on the oriented square lattice,
Stochastic Processes and Their Applications
(January, 2019) [doi] [abs]
 Wang, Z; Durrett, R, Extrapolating weak selection in evolutionary games.,
Journal of Mathematical Biology, vol. 78 no. 12
(January, 2019),
pp. 135154 [doi] [abs]
 Ma, R; Durrett, R, A simple evolutionary game arising from the study of the role of igfII in pancreatic cancer,
The Annals of Applied Probability, vol. 28 no. 5
(October, 2018),
pp. 28962921, Institute of Mathematical Statistics [doi] [abs]
 Talkington, A; Dantoin, C; Durrett, R, Ordinary Differential Equation Models for Adoptive Immunotherapy.,
Bulletin of Mathematical Biology, vol. 80 no. 5
(May, 2018),
pp. 10591083 [doi] [abs]
 Huo, R; Durrett, R, Latent voter model on locally treelike random graphs,
Stochastic Processes and Their Applications, vol. 128 no. 5
(May, 2018),
pp. 15901614, Elsevier BV [doi] [abs]
 Beckman, E; Dinan, E; Durrett, R; Huo, R; Junge, M, Asymptotic behavior of the brownian frog model,
Electronic Journal of Probability, vol. 23
(January, 2018), Institute of Mathematical Statistics [doi] [abs]
 Basak, A; Durrett, R; Foxall, E, Diffusion limit for the partner model at the critical value,
Electronic Journal of Probability, vol. 23
(January, 2018), Institute of Mathematical Statistics [doi] [abs]
 Cristali, I; Ranjan, V; Steinberg, J; Beckman, E; Durrett, R; Junge, M; Nolen, J, Block size in geometric(P)biased permutations,
Electronic Communications in Probability, vol. 23
(January, 2018),
pp. 110, Institute of Mathematical Statistics [doi] [abs]
 Lopatkin, AJ; Meredith, HR; Srimani, JK; Pfeiffer, C; Durrett, R; You, L, Persistence and reversal of plasmidmediated antibiotic resistance.,
Nature Communications, vol. 8 no. 1
(November, 2017),
pp. 1689 [doi] [abs]
 Gleeson, JP; Durrett, R, Temporal profiles of avalanches on networks.,
Nature Communications, vol. 8 no. 1
(October, 2017),
pp. 1227 [doi] [abs]
 Tomasetti, C; Durrett, R; Kimmel, M; Lambert, A; Parmigiani, G; Zauber, A; Vogelstein, B, Role of stemcell divisions in cancer risk,
Nature, vol. 548 no. 7666
(August, 2017),
pp. E13E14, Springer Nature [doi]
 Nanda, M; Durrett, R, Spatial evolutionary games with weak selection,
Proceedings of the National Academy of Sciences of the United States of America, vol. 114 no. 23
(June, 2017),
pp. 60466051 [doi] [abs]
 Bessonov, M; Durrett, R, Phase transitions for a planar quadratic contact process,
Advances in Applied Mathematics, vol. 87
(June, 2017),
pp. 82107, Elsevier BV [doi] [abs]
 Durrett, R; Fan, WTL, Genealogies in expanding populations,
The Annals of Applied Probability, vol. 26 no. 6
(December, 2016),
pp. 34563490, Institute of Mathematical Statistics [doi] [abs]
 Ryser, MD; Worni, M; Turner, EL; Marks, JR; Durrett, R; Hwang, ES, Outcomes of Active Surveillance for Ductal Carcinoma in Situ: A Computational Risk Analysis.,
J Natl Cancer Inst, vol. 108 no. 5
(May, 2016) [doi] [abs]
 Durrett, R; Foo, J; Leder, K, Spatial Moran models, II: cancer initiation in spatially structured tissue.,
Journal of Mathematical Biology, vol. 72 no. 5
(April, 2016),
pp. 13691400, ISSN 03036812 [doi] [abs]
 Cox, JT; Durrett, R, Evolutionary games on the torus with weak selection,
Stochastic Processes and Their Applications, vol. 126 no. 8
(December, 2015),
pp. 23882409, Elsevier BV [doi] [abs]
 Talkington, A; Durrett, R, Estimating Tumor Growth Rates In Vivo.,
Bulletin of Mathematical Biology, vol. 77 no. 10
(October, 2015),
pp. 19341954, ISSN 00928240 [doi] [abs]
 Ryser, MD; Myers, ER; Durrett, R, HPV clearance and the neglected role of stochasticity.,
Plos Computational Biology, vol. 11 no. 3
(March, 2015),
pp. e1004113, ISSN 1553734X [repository], [doi] [abs]
 Durrett, R; Moseley, S, Spatial moran models I. Stochastic tunneling in the neutral case,
The Annals of Applied Probability, vol. 25 no. 1
(January, 2015),
pp. 104115, Institute of Mathematical Statistics, ISSN 10505164 [doi] [abs]
 Durrett, R; Zhang, Y, Coexistence of grass, saplings and trees in the StaverLevin forest model,
The Annals of Applied Probability, vol. 25 no. 6
(January, 2015),
pp. 34343464, Institute of Mathematical Statistics, ISSN 10505164 [doi] [abs]
 Varghese, C; Durrett, R, Spatial networks evolving to reduce length,
Journal of Complex Networks, vol. 3 no. 3
(January, 2015),
pp. 411430, Oxford University Press (OUP) [doi] [abs]
 Magura, SR; Pong, VH; Durrett, R; Sivakoff, D, Two evolving social network models,
Alea, vol. 12 no. 2
(January, 2015),
pp. 699715 [abs]
 Durrett, R, Spatial evolutionary games with small selection coefficients,
Electronic Journal of Probability, vol. 19
(December, 2014), Institute of Mathematical Statistics [doi] [abs]
 Durrett, R; 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, vol. 111 no. 39
(September, 2014),
pp. 1403614041, ISSN 00278424 [doi] [abs]
 Aristotelous, AC; Durrett, R, Chemical evolutionary games.,
Theoretical Population Biology, vol. 93
(May, 2014),
pp. 113, ISSN 00405809 [doi] [abs]
 Durrett, R; Liggett, T; Zhang, Y, The contact process with fast voting,
Electronic Journal of Probability, vol. 19
(March, 2014), Institute of Mathematical Statistics [doi] [abs]
 Aristotelous, AC; Durrett, R, Fingering in stochastic growth models,
Experimental Mathematics, vol. 23 no. 4
(January, 2014),
pp. 465474, Informa UK Limited, ISSN 10586458 [doi] [abs]
 Shi, F; Mucha, PJ; Durrett, R, Multiopinion coevolving voter model with infinitely many phase transitions.,
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 88 no. 6
(December, 2013),
pp. 062818, ISSN 15393755 [doi] [abs]
 Varghese, C; Durrett, R, Phase transitions in the quadratic contact process on complex networks,
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 87 no. 6
(June, 2013),
pp. paper 062819, American Physical Society (APS), ISSN 15393755 [doi] [abs]
 Mode, CJ; Durrett, R; Klebaner, F; Olofsson, P, Applications of stochastic processes in biology and medicine,
International Journal of Stochastic Analysis, vol. 2013
(April, 2013),
pp. 12, Hindawi Limited, ISSN 20903332 [doi]
 Durrett, R, Cancer modeling: A personal perspective,
Notices of the American Mathematical Society, vol. 60 no. 3
(March, 2013),
pp. 304309, American Mathematical Society (AMS), ISSN 00029920 [doi]
 Durrett, R, Population genetics of neutral mutations in exponentially growing cancer cell populations,
The Annals of Applied Probability, vol. 23 no. 1
(February, 2013),
pp. 230250, Institute of Mathematical Statistics [doi] [abs]
 Chatterjee, S; 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, vol. 123 no. 2
(January, 2013),
pp. 561578, Elsevier BV [doi] [abs]
 Cox, JT; Durrett, R; Perkins, EA, Voter model perturbations and reaction diffusion equations,
Astérisque, vol. 349 no. 349
(January, 2013),
pp. 1127 [math.PR/1103.1676] [abs]
 Danesh, K; Durrett, R; Havrilesky, LJ; Myers, E, A branching process model of ovarian cancer.,
J Theor Biol, vol. 314
(December, 2012),
pp. 1015 [22959913], [doi] [abs]
 Durrett, R; Remenik, D, Evolution of dispersal distance.,
Journal of Mathematical Biology, vol. 64 no. 4
(March, 2012),
pp. 657666, ISSN 03036812 [doi] [abs]
 Durrett, R; Gleeson, JP; Lloyd, AL; Mucha, PJ; Shi, F; Sivakoff, D; Socolar, JES; Varghese, C, Graph fission in an evolving voter model.,
Proceedings of the National Academy of Sciences of the United States of America, vol. 109 no. 10
(March, 2012),
pp. 36823687 [22355142], [doi] [abs]
 Chatterjee, S; Durrett, R, Asymptotic behavior of Aldous' gossip process,
The Annals of Applied Probability, vol. 21 no. 6
(December, 2011),
pp. 24472482, Institute of Mathematical Statistics, ISSN 10505164 [math.PR/1005.1608], [doi] [abs]
 Chatterjee, S; Durrett, R, Persistence of activity in threshold contact processes, an "Annealed approximation" of random Boolean networks,
Random Structures & Algorithms, vol. 39 no. 2
(September, 2011),
pp. 228246, WILEY, ISSN 10429832 [MR2850270], [doi] [abs]
 Durrett, R; Foo, J; Leder, K; Mayberry, J; Michor, F, Intratumor heterogeneity in evolutionary models of tumor progression.,
Genetics, vol. 188 no. 2
(June, 2011),
pp. 461477, ISSN 00166731 [doi] [abs]
 Durrett, R; Mayberry, J, Traveling waves of selective sweeps,
The Annals of Applied Probability, vol. 21 no. 2
(April, 2011),
pp. 699744, Institute of Mathematical Statistics, ISSN 10505164 [MR2807971], [doi] [abs]
 Durrett, R; Remenik, D, Brunetderrida particle systems, free boundary problems and wienerhopf equations,
The Annals of Probability, vol. 39 no. 6
(January, 2011),
pp. 20432078, Institute of Mathematical Statistics, ISSN 00911798 [doi] [abs]
 Durrett, R; Chatterjee, S, Persistence of activity in random Boolean networks,
Random Structures and Algorithms, vol. 39
(2011),
pp. 228246
 Durrett, R; Foo, J; Leder, K; Mayberry, J; Michor, F, Evolutionary dynamics of tumor progression with random fitness values.,
Theoretical Population Biology, vol. 78 no. 1
(August, 2010),
pp. 5466, ISSN 00405809 [math.PR/1003.1927], [doi] [abs]
 Durrett, R; Mayberry, J, Evolution in predatorprey systems,
Stochastic Processes and Their Applications, vol. 120 no. 7
(July, 2010),
pp. 13641392, Elsevier BV, ISSN 03044149 [MR2011d:92087], [doi] [abs]
 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, vol. 107 no. 10
(March, 2010),
pp. 44914498, ISSN 00278424 [doi] [abs]
 Durrett, R; Moseley, S, Evolution of resistance and progression to disease during clonal expansion of cancer.,
Theoretical Population Biology, vol. 77 no. 1
(February, 2010),
pp. 4248, ISSN 00405809 [doi] [abs]
 Chatterjee, S; Durrett, R, Contact processes on random graphs with power law degree distributions have critical value 0,
The Annals of Probability, vol. 37 no. 6
(November, 2009),
pp. 23322356, Institute of Mathematical Statistics, ISSN 00911798 [doi] [abs]
 Chan, B; Durrett, R; Lanchier, N, Coexistence for a multitype contact process with seasons,
The Annals of Applied Probability, vol. 19 no. 5
(October, 2009),
pp. 19211943, Institute of Mathematical Statistics, ISSN 10505164 [doi] [abs]
 Durrett, R; Remenik, D, Chaos in a spatial epidemic model,
The Annals of Applied Probability, vol. 19 no. 4
(August, 2009),
pp. 16561685, Institute of Mathematical Statistics, ISSN 10505164 [MR2010k:60322], [doi] [abs]
 Wu, F; Eannetta, NT; Xu, Y; Durrett, R; Mazourek, M; Jahn, MM; 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.,
Tag Theoretical and Applied Genetics, vol. 118 no. 7
(May, 2009),
pp. 12791293, ISSN 00405752 [doi] [abs]
 Durrett, R, SPecial invited paper coexistence in stochastic spatial models,
The Annals of Applied Probability, vol. 19 no. 2
(April, 2009),
pp. 477496, Institute of Mathematical Statistics, ISSN 10505164 [MR2521876 (2010g:60213)], [doi] [abs]
 Durrett, R; Schmidt, D; Schweinsberg, J, A waiting time problem arising from the study of multistage carcinogenesis,
The Annals of Applied Probability, vol. 19 no. 2
(April, 2009),
pp. 676718, Institute of Mathematical Statistics, ISSN 10505164 [MR2521885 (2010f:60243)], [doi] [abs]
 Durrett, R; Schmidt, D, Reply to Michael Behe,
Genetics, vol. 181 no. 2
(February, 2009),
pp. 821822, Genetics Society of America, ISSN 00166731 [doi]
 Durrett, R; Popovic, L, Degenerate diffusions arising from gene duplication models,
The Annals of Applied Probability, vol. 19 no. 1
(February, 2009),
pp. 1548, Institute of Mathematical Statistics, ISSN 10505164 [MR2521876 (2010g:60213)], [doi] [abs]
 Chan, B; Durrett, R; Lanchier, N, Coexistence in a particle system with seasons,
Ann. Appl. Probab., vol. 19 no. 5
(2009),
pp. 19211943, ISSN 10505164 [doi] [abs]
 Durrett, R; Schmidt, D, Waiting for two mutations: with applications to regulatory sequence evolution and the limits of Darwinian evolution.,
Genetics, vol. 180 no. 3
(November, 2008),
pp. 15011509, ISSN 00166731 [doi] [abs]
 Durrett, R; Lanchier, N, Coexistence in hostpathogen systems,
Stochastic Processes and Their Applications, vol. 118 no. 6
(June, 2008),
pp. 10041021, Elsevier BV, ISSN 03044149 [MR2418255 (2009g:60131)], [doi] [abs]
 Durrett, R; Restrepo, M, Onedimensional stepping stone models, sardine genetics and Brownian local time,
The Annals of Applied Probability, vol. 18 no. 1
(February, 2008),
pp. 334358, Institute of Mathematical Statistics, ISSN 10505164 [MR2380901 (2008j:60229)], [doi] [abs]
 HuertaSanchez, E; Durrett, R; Bustamante, CD, Population genetics of polymorphism and divergence under fluctuating selection.,
Genetics, vol. 178 no. 1
(January, 2008),
pp. 325337, ISSN 00166731 [doi] [abs]
 Berestycki, N; Durrett, R, Limiting behavior for the distance of a random walk,
Electronic Journal of Probability, vol. 13
(January, 2008),
pp. 374395, Institute of Mathematical Statistics, ISSN 10836489 [MR2386737 (2009d:60130)], [doi] [abs]
 Chung, KL; Durrett, R, Downcrossings and local time,
in Selected Works of Kai Lai Chung
(January, 2008),
pp. 585587, World Scientific, ISBN 9789812833853 [doi] [abs]
 Durrett, R; Zähle, I, On the width of hybrid zones,
Stochastic Processes and Their Applications, vol. 117 no. 12
(December, 2007),
pp. 17511763, Elsevier BV, ISSN 03044149 [MR2437727 (2010d:60215)], [doi] [abs]
 Durrett, R; Jung, P, Two phase transitions for the contact process on small worlds,
Stochastic Processes and Their Applications, vol. 117 no. 12
(December, 2007),
pp. 19101927, Elsevier BV, ISSN 03044149 [MR2437735 (2009h:60162)], [doi] [abs]
 Sainudiin, R; Clark, AG; Durrett, RT, Simple models of genomic variation in human SNP density.,
Bmc Genomics, vol. 8
(June, 2007),
pp. 146, ISSN 14712164 (paper 146.) [doi] [abs]
 De, A; Durrett, R, Steppingstone spatial structure causes slow decay of linkage disequilibrium and shifts the site frequency spectrum.,
Genetics, vol. 176 no. 2
(June, 2007),
pp. 969981, ISSN 00166731 [doi] [abs]
 York, TL; Durrett, R; Nielsen, R, Dependence of paracentric inversion rate on tract length.,
Bmc Bioinformatics, vol. 8
(April, 2007),
pp. 115, ISSN 14712105 (paper 115.) [doi] [abs]
 HuertaSanchez, E; Durrett, R, Wagner's canalization model.,
Theoretical Population Biology, vol. 71 no. 2
(March, 2007),
pp. 121130, ISSN 00405809 [doi] [abs]
 Durrett, R; Schmidt, D, Waiting for regulatory sequences to appear,
The Annals of Applied Probability, vol. 17 no. 1
(February, 2007),
pp. 132, Institute of Mathematical Statistics, ISSN 10505164 [MR2292578 (2007j:92034)], [doi] [abs]
 R. Durrett and Iljana Zahle, On the width of hybrid zones,
Stochastic Processes and their Applications, vol. 117
(2007),
pp. 17511763, ISSN 03044149 [MR2010d:60215]
 De, A; Durrett, R, Spatial structure of the human population contributes to the slow decay of linkage diseqeuilibrium and shifts the site frequency spectrum,
Genetics, vol. 176 no. 2
(2007),
pp. 969981, ISSN 00166731 [doi] [abs]
 Chan, B; Durrett, R, A new coexistence result for competing contact processes,
The Annals of Applied Probability, vol. 16 no. 3
(August, 2006),
pp. 11551165, Institute of Mathematical Statistics, ISSN 10505164 [MR2260060 (2008h:60400)], [doi] [abs]
 Durrett, R, Random graph dynamics, Cambridge Series in Statistical and Probabilistic Mathematics,
Random Graph Dynamics
(January, 2006),
pp. 1212, Cambridge University Press, Cambridge, ISBN 9780521866569; 0521866561 [MR2271734 (2008c:05167)], [doi] [abs]
 Berestycki, N; Durrett, R, A phase transition in the random transposition random walk,
Probability Theory and Related Fields, vol. 136 no. 2
(January, 2006),
pp. 203233, Springer Nature, ISSN 01788051 [MR2240787 (2007i:60009)], [doi] [abs]
 Durrett, R; Schweinsberg, J, Power laws for family sizes in a duplication model,
The Annals of Probability, vol. 33 no. 6
(November, 2005),
pp. 20942126, Institute of Mathematical Statistics, ISSN 00911798 [MR2006j:60092], [doi] [abs]
 Durrett, R; Schweinsberg, J, A coalescent model for the effect of advantageous mutations on the genealogy of a population,
Stochastic Processes and Their Applications, vol. 115 no. 10
(October, 2005),
pp. 16281657, Elsevier BV, ISSN 03044149 [MR2165337 (2006h:92026)], [doi] [abs]
 Blasiak, J; Durrett, R, Random Oxford graphs,
Stochastic Processes and Their Applications, vol. 115 no. 8
(August, 2005),
pp. 12571278, Elsevier BV, ISSN 03044149 [MR2152374 (2006j:60008)], [doi] [abs]
 Schweinsberg, J; Durrett, R, Random partitions approximating the coalescence of lineages during a selective sweep,
The Annals of Applied Probability, vol. 15 no. 3
(August, 2005),
pp. 15911651, Institute of Mathematical Statistics, ISSN 10505164 [MR2152239 (2006c:92012)], [doi] [abs]
 Durrett, R; Levin, SA, Can stable social groups be maintained by homophilous imitation alone?,
Journal of Economic Behavior and Organization, vol. 57 no. 3
(July, 2005),
pp. 267286, Elsevier BV [doi] [abs]
 York, TL; Durrett, RT; Tanksley, S; Nielsen, R, Bayesian and maximum likelihood estimation of genetic maps.,
Genetical Research, vol. 85 no. 2
(April, 2005),
pp. 159168 [doi] [abs]
 Zähle, I; Cox, JT; Durrett, R, The stepping stone model. II: Genealogies and the infinite sites model,
The Annals of Applied Probability, vol. 15 no. 1 B
(February, 2005),
pp. 671699, Institute of Mathematical Statistics, ISSN 10505164 [MR2114986 (2006d:60157)], [doi] [abs]
 Durrett, R; Mytnik, L; Perkins, E, Competing superbrownian motions as limits of interacting particle systems,
Electronic Journal of Probability, vol. 10
(January, 2005),
pp. 11471220, Institute of Mathematical Statistics, ISSN 10836489 [MR2164042 (2006f:60052)], [doi] [abs]
 R. Durrett, Genome rearrangement,
in Statistical methods in molecular evolution, Stat. Biol. Health
(2005),
pp. 307323, Springer, New York [MR2161835 (2006f:92021)]
 Schmidt, D; Durrett, R, Adaptive evolution drives the diversification of zincfinger binding domains.,
Molecular Biology and Evolution, vol. 21 no. 12
(December, 2004),
pp. 23262339 [doi] [abs]
 Durrett, R; Schweinsberg, J, Approximating selective sweeps.,
Theoretical Population Biology, vol. 66 no. 2
(September, 2004),
pp. 129138 [doi] [abs]
 Ward, R; Durrett, R, Subfunctionalization: How often does it occur? How long does it take?,
Theoretical Population Biology, vol. 66 no. 2
(September, 2004),
pp. 93100 [doi] [abs]
 Sainudiin, R; Durrett, RT; Aquadro, CF; Nielsen, R, Microsatellite mutation models: insights from a comparison of humans and chimpanzees.,
Genetics, vol. 168 no. 1
(September, 2004),
pp. 383395 [doi] [abs]
 Durrett, R; Nielsen, R; York, TL, Bayesian estimation of genomic distance.,
Genetics, vol. 166 no. 1
(January, 2004),
pp. 621629 [doi] [abs]
 Durrett, R; Limic, V, Rigorous results for the NK model,
The Annals of Probability, vol. 31 no. 4
(October, 2003),
pp. 17131753, Institute of Mathematical Statistics, ISSN 00911798 [doi] [abs]
 Calabrese, P; Durrett, R, Dinucleotide repeats in the Drosophila and human genomes have complex, lengthdependent mutation processes.,
Molecular Biology and Evolution, vol. 20 no. 5
(May, 2003),
pp. 715725 [doi] [abs]
 Cox, T; Durrett, R, Erratum: The stepping stone model: New formulas expose old myths (The Annals of Applied Probability (2002) 12 (13481377)),
The Annals of Applied Probability, vol. 13 no. 2
(May, 2003),
pp. 816, ISSN 10505164
 Durrett, R, Shuffling Chromosomes,
Journal of Theoretical Probability, vol. 16 no. 3
(2003),
pp. 725750, ISSN 08949840 [doi] [abs]
 Durrett, R; Limic, V, A surprising poisson process arising from a species competition model,
Stochastic Processes and Their Applications, vol. 102 no. 2
(December, 2002),
pp. 301309, Elsevier BV, ISSN 03044149 [doi] [abs]
 Cox, JT; Durrett, R, The stepping stone model: New formulas expose old myths,
The Annals of Applied Probability, vol. 12 no. 4
(November, 2002),
pp. 13481377, Institute of Mathematical Statistics [doi] [abs]
 Buttel, LA; Durrett, R; Levin, SA, Competition and species packing in patchy environments.,
Theoretical Population Biology, vol. 61 no. 3
(May, 2002),
pp. 265276 [doi] [abs]
 Durrett, R; Kesten, H; Limic, V, Once edgereinforced random walk on a tree,
Probability Theory and Related Fields, vol. 122 no. 4
(April, 2002),
pp. 567592, Springer Nature [doi] [abs]
 Durrett, RT; Chen, KY; Tanksley, SD, A simple formula useful for positional cloning.,
Genetics, vol. 160 no. 1
(January, 2002),
pp. 353355, ISSN 00166731 [abs]
 Durrett, R, Mutual invadability implies coexistence in spatial models,
Memoirs of the American Mathematical Society no. 740
(January, 2002) [abs]
 York, TL; Durrett, R; Nielsen, R, Bayesian estimation of the number of inversions in the history of two chromosomes.,
Journal of Computational Biology : a Journal of Computational Molecular Cell Biology, vol. 9 no. 6
(January, 2002),
pp. 805818 [doi] [abs]
 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; Ter Braak, CJF; 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; Vannucci, M; Sillanpää, MJ; Sisson, S; Yandell, BS; Jin, C; Satagopan, JM; Gaffney, PJ; Zeng, ZB; Broman, KW; Speed, TP; Fearnhead, P; Donnelly, P; Larget, B; Simon, DL; Kadane, JB; Nicholson, G; Smith, AV; Jónsson, F; Gústafsson, O; Stefánsson, K; Parmigiani, G; Garrett, ES; Anbazhagan, R; Gabrielson, E, Discussion on the meeting on 'statistical modelling and analysis of genetic data',
Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol. 64 no. 4
(January, 2002),
pp. 737775, WILEY, ISSN 13697412 [doi]
 Calabrese, PP; Durrett, RT; Aquadro, CF, Dynamics of microsatellite divergence under stepwise mutation and proportional slippage/point mutation models.,
Genetics, vol. 159 no. 2
(October, 2001),
pp. 839852, ISSN 00166731 [abs]
 Sundell, NM; Durrett, RT, Exponential distance statistics to detect the effects of population subdivision.,
Theoretical Population Biology, vol. 60 no. 2
(September, 2001),
pp. 107116, ISSN 00405809 [doi] [abs]
 Arkendra, DE; Ferguson, M; Sindi, S; 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, vol. 38 no. 2
(June, 2001),
pp. 324334, Cambridge University Press (CUP), ISSN 00219002 [doi] [abs]
 Durrett, R; Limic, V, On the quantity and quality of single nucleotide polymorphisms in the human genome,
Stochastic Processes and Their Applications, vol. 93 no. 1
(May, 2001),
pp. 124, Elsevier BV [doi] [abs]
 Diaconis, P; Durrett, R, Chutes and Ladders in Markov Chains,
Journal of Theoretical Probability, vol. 14 no. 3
(2001),
pp. 899926 [doi] [abs]
 Broughton, RE; Stanley, SE; Durrett, RT, Quantification of homoplasy for nucleotide transitions and transversions and a reexamination of assumptions in weighted phylogenetic analysis.,
Systematic Biology, vol. 49 no. 4
(December, 2000),
pp. 617627 [doi] [abs]
 Kruglyak, S; Durrett, R; Schug, MD; 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, vol. 17 no. 8
(August, 2000),
pp. 12101219, ISSN 07374038 [doi] [abs]
 Durrett, R; Levin, S, Lessons on pattern formation from planet WATOR.,
Journal of Theoretical Biology, vol. 205 no. 2
(July, 2000),
pp. 201214, ISSN 00225193 [doi] [abs]
 Vision, TJ; Brown, DG; Shmoys, DB; Durrett, RT; Tanksley, SD, Selective mapping: a strategy for optimizing the construction of highdensity linkage maps.,
Genetics, vol. 155 no. 1
(May, 2000),
pp. 407420 [abs]
 Liu, YC; Durrett, R; Milgroom, MG, A spatiallystructured stochastic model to simulate heterogenous transmission of viruses in fungal populations,
Ecological Modelling, vol. 127 no. 23
(March, 2000),
pp. 291308, Elsevier BV [doi] [abs]
 Durrett, R; Buttel, L; Harrison, R, Spatial models for hybrid zones.,
Heredity, vol. 84 ( Pt 1) no. 1
(January, 2000),
pp. 919, ISSN 0018067X [doi] [abs]
 Cox, JT; Durrett, R; Perkins, EA, Rescaled voter models converge to superBrownian motion,
The Annals of Probability, vol. 28 no. 1
(January, 2000),
pp. 185234, Institute of Mathematical Statistics [doi] [abs]
 Durrett, R; Schinazi, RB, Boundary Modified Contact Processes,
Journal of Theoretical Probability, vol. 13 no. 2
(2000),
pp. 575594 [abs]
 Molofsky, J; Durrett, R; Dushoff, J; Griffeath, D; Levin, S, Local frequency dependence and global coexistence.,
Theoretical Population Biology, vol. 55 no. 3
(June, 1999),
pp. 270282, ISSN 00405809 [doi] [abs]
 Durrett, R, Stochastic spatial models,
Siam Review, vol. 41 no. 4
(January, 1999),
pp. 677718, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Durrett, R; Perkins, EA, Rescaled contact processes converge to superBrownian motion in two or more dimensions,
Probability Theory and Related Fields, vol. 114 no. 3
(January, 1999),
pp. 309399, Springer Nature [doi] [abs]
 Durrett, R; Granovsky, BL; Gueron, S, The Equilibrium Behavior of Reversible CoagulationFragmentation Processes,
Journal of Theoretical Probability, vol. 12 no. 2
(January, 1999),
pp. 447474 [doi] [abs]
 Durrett, R; Kruglyak, S, A new stochastic model of microsatellite evolution,
Journal of Applied Probability, vol. 36 no. 3
(January, 1999),
pp. 621631, Cambridge University Press (CUP) [doi] [abs]
 Kruglyak, S; Durrett, RT; Schug, MD; 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, vol. 95 no. 18
(September, 1998),
pp. 1077410778, ISSN 00278424 [doi] [abs]
 Bramson, M; Cox, JT; Durrett, R, A spatial model for the abundance of species,
The Annals of Probability, vol. 26 no. 2
(April, 1998),
pp. 658709, Institute of Mathematical Statistics [doi] [abs]
 Durrett, R; Levin, S, Spatial aspects of interspecific competition.,
Theoretical Population Biology, vol. 53 no. 1
(February, 1998),
pp. 3043, ISSN 00405809 [doi] [abs]
 Durrett, R; Levin, S, Erratum: Spatial aspects of interspecific competition (Theoretical Population Biology (1998) 53:1 (3043)),
Theoretical Population Biology, vol. 53 no. 3
(January, 1998),
pp. 284, Elsevier BV [doi]
 Durrett, R; Levin, S, Allelopathy in spatially distributed populations,
Journal of Theoretical Biology, vol. 185 no. 2
(March, 1997),
pp. 165171, Elsevier BV [doi] [abs]
 Durrett, R; Neuhauser, C, Coexistence results for some competition models,
The Annals of Applied Probability, vol. 7 no. 1
(January, 1997),
pp. 1045, Institute of Mathematical Statistics [doi] [abs]
 Chen, ZQ; Durrett, R; Ma, G, Holomorphic diffusions and boundary behavior of harmonic functions,
The Annals of Probability, vol. 25 no. 3
(January, 1997),
pp. 11031134, Institute of Mathematical Statistics [doi] [abs]
 Allouba, H; Durrett, R; Hawkes, J; Perkins, E, SuperTree Random Measures,
Journal of Theoretical Probability, vol. 10 no. 3
(1997),
pp. 773794 [abs]
 Durrett, R; Levin, S, Spatial models for speciesarea curves,
Journal of Theoretical Biology, vol. 179 no. 2
(March, 1996),
pp. 119127, Elsevier BV [doi] [abs]
 Bramson, M; Cox, JT; Durrett, R, Spatial models for species area curves,
The Annals of Probability, vol. 24 no. 4
(January, 1996),
pp. 17271751, Institute of Mathematical Statistics [doi] [abs]
 Cox, JT; Durrett, R, Hybrid zones and voter model interfaces,
Bernoulli, vol. 1 no. 4
(January, 1995),
pp. 343370, Bernoulli Society for Mathematical Statistics and Probability [doi] [abs]
 Durrett, R; Swindle, G, Coexistence results for catalysts,
Probability Theory and Related Fields, vol. 98 no. 4
(December, 1994),
pp. 489515, Springer Nature, ISSN 01788051 [doi] [abs]
 Durrett, R; Levin, S, The importance of being discrete (and spatial),
Theoretical Population Biology, vol. 46 no. 3
(January, 1994),
pp. 363394, Elsevier BV [doi] [abs]
 Durrett, R; Levin, SA, Stochastic spatial models: A user's guide to ecological applications,
Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences, vol. 343 no. 1305
(January, 1994),
pp. 329350, The Royal Society, ISSN 09628436 [doi]
 Durrett, R; Griffeath, D, Asymptotic behavior of excitable cellular automata,
Experimental Mathematics, vol. 2 no. 3
(January, 1993),
pp. 183208, Informa UK Limited [doi] [abs]
 Durrett, RT; Rogers, LCG, Asymptotic behavior of Brownian polymers,
Probability Theory and Related Fields, vol. 92 no. 3
(September, 1992),
pp. 337349, Springer Nature, ISSN 01788051 [doi] [abs]
 Durrett, R, Multicolor particle systems with large threshold and range,
Journal of Theoretical Probability, vol. 5 no. 1
(January, 1992),
pp. 127152, Springer Nature, ISSN 08949840 [doi] [abs]
 Durrett, R; Steif, JE, Some rigorous results for the GreenbergHastings Model,
Journal of Theoretical Probability, vol. 4 no. 4
(October, 1991),
pp. 669690, Springer Nature, ISSN 08949840 [doi] [abs]
 Cox, JT; Durrett, R; Schinazi, R, The critical contact process seen from the right edge,
Probability Theory and Related Fields, vol. 87 no. 3
(September, 1991),
pp. 325332, Springer Nature, ISSN 01788051 [doi] [abs]
 Durrett, R; Møller, AM, Complete convergence theorem for a competition model,
Probability Theory and Related Fields, vol. 88 no. 1
(March, 1991),
pp. 121136, Springer Nature, ISSN 01788051 [doi] [abs]
 Durrett, R; Swindle, G, Are there bushes in a forest?,
Stochastic Processes and Their Applications, vol. 37 no. 1
(January, 1991),
pp. 1931, Elsevier BV, ISSN 03044149 [doi] [abs]
 Durrett, R; Kesten, H; Waymire, E, On weighted heights of random trees,
Journal of Theoretical Probability, vol. 4 no. 1
(January, 1991),
pp. 223237, Springer Nature, ISSN 08949840 [doi] [abs]
 Bramson, M; Wanding, D; Durrett, R, Annihilating branching processes,
Stochastic Processes and Their Applications, vol. 37 no. 1
(January, 1991),
pp. 117, Elsevier BV, ISSN 03044149 [doi] [abs]
 Jinwen, C; Durrett, R; Xiufang, L, Exponential convergence for one dimensional contact processes,
Acta Mathematica Sinica, English Series, vol. 6 no. 4
(December, 1990),
pp. 349353, Springer Nature, ISSN 14398516 [doi] [abs]
 Ding, WD; Durrett, R; Liggett, TM, Ergodicity of reversible reaction diffusion processes,
Probability Theory and Related Fields, vol. 85 no. 1
(March, 1990),
pp. 1326, Springer Nature, ISSN 01788051 [doi] [abs]
 Cox, JT; Durrett, R, Large deviations for independent random walks,
Probability Theory and Related Fields, vol. 84 no. 1
(March, 1990),
pp. 6782, Springer Nature, ISSN 01788051 [doi] [abs]
 Durrett, R; Tanaka, NI, Scaling inequalities for oriented percolation,
Journal of Statistical Physics, vol. 55 no. 56
(June, 1989),
pp. 981995, Springer Nature, ISSN 00224715 [doi] [abs]
 Durrett, R; Schonmann, RH; Tanaka, NI, Correlation lengths for oriented percolation,
Journal of Statistical Physics, vol. 55 no. 56
(June, 1989),
pp. 965979, Springer Nature, ISSN 00224715 [doi] [abs]
 Bramson, M; Durrett, R, A simple proof of the stability criterion of Gray and Griffeath,
Probability Theory and Related Fields, vol. 80 no. 2
(December, 1988),
pp. 293298, Springer Nature America, Inc, ISSN 01788051 [doi] [abs]
 Durrett, R; Schonmann, RH, Large deviations for the contact process and two dimensional percolation,
Probability Theory and Related Fields, vol. 77 no. 4
(December, 1988),
pp. 583603, Springer Nature, ISSN 01788051 [doi] [abs]
 Durrett, R, Crabgrass, measles, and gypsy moths: An introduction to interacting particle systems,
The Mathematical Intelligencer, vol. 10 no. 2
(June, 1988),
pp. 3747, Springer Nature, ISSN 03436993 [doi]
 Bramson, M; Durrett, R, Random walk in random environment: A counterexample?,
Communications in Mathematical Physics, vol. 119 no. 2
(June, 1988),
pp. 199211, Springer Nature, ISSN 00103616 [doi] [abs]
 Chayes, JT; Chayes, L; Durrett, R, Connectivity properties of Mandelbrot's percolation process,
Probability Theory and Related Fields, vol. 77 no. 3
(March, 1988),
pp. 307324, Springer Nature America, Inc, ISSN 01788051 [doi] [abs]
 Cox, JT; Durrett, R, Limit theorems for the spread of epidemics and forest fires,
Stochastic Processes and Their Applications, vol. 30 no. 2
(January, 1988),
pp. 171191, Elsevier BV, ISSN 03044149 [doi] [abs]
 Durrett, R, Crabgrass, measles, and gypsy moths: An introduction to modern probability,
Bulletin of the American Mathematical Society, vol. 18 no. 2
(January, 1988),
pp. 117143, American Mathematical Society (AMS) [doi]
 Chayes, JT; Chayes, L; Durrett, R, Inhomogeneous percolation problems and incipient infinite clusters,
Journal of Physics A: Mathematical and General, vol. 20 no. 6
(December, 1987),
pp. 15211530, IOP Publishing, ISSN 03054470 [doi] [abs]
 Brennan, MD; Durrett, R, Splitting intervals II: Limit laws for lengths,
Probability Theory and Related Fields, vol. 75 no. 1
(May, 1987),
pp. 109127, Springer Nature America, Inc, ISSN 01788051 [doi] [abs]
 Chayes, JT; Chayes, L; Durrett, R, Critical behavior of the twodimensional first passage time,
Journal of Statistical Physics, vol. 45 no. 56
(December, 1986),
pp. 933951, Springer Nature, ISSN 00224715 [doi] [abs]
 Durrett, R, Multidimensional random walks in random environments with subclassical limiting behavior,
Communications in Mathematical Physics, vol. 104 no. 1
(March, 1986),
pp. 87102, Springer Nature, ISSN 00103616 [doi] [abs]
 Durrett, R, Some general results concerning the critical exponents of percolation processes,
Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, vol. 69 no. 3
(September, 1985),
pp. 421437, Springer Nature America, Inc, ISSN 00443719 [doi] [abs]
 Durrett, R; Nguyen, B, Thermodynamic inequalities for percolation,
Communications in Mathematical Physics, vol. 99 no. 2
(June, 1985),
pp. 253269, Springer Nature, ISSN 00103616 [doi] [abs]
 Durrett, R; Liggett, TM, Fixed points of the smoothing transformation,
Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, vol. 64 no. 3
(September, 1983),
pp. 275301, Springer Nature, ISSN 00443719 [doi] [abs]
 Durrett, R, Maxima of branching random walks,
Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, vol. 62 no. 2
(June, 1983),
pp. 165170, Springer Nature America, Inc, ISSN 00443719 [doi] [abs]
 Chung, KL; Durrett, R; Zhao, Z, Extension of domains with finite gauge,
Mathematische Annalen, vol. 264 no. 1
(March, 1983),
pp. 7379, Springer Nature, ISSN 00255831 [doi]
 Cox, JT; Durrett, R, Oriented Percolation in Dimensions D ≥ 4: Bounds and Asymptotic Formulas,
Mathematical Proceedings of the Cambridge Philosophical Society, vol. 93 no. 1
(January, 1983),
pp. 151162, Cambridge University Press (CUP) [doi] [abs]
 Durrett, R; Griffeath, D, Contact processes in several dimensions,
Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, vol. 59 no. 4
(December, 1982),
pp. 535552, Springer Nature America, Inc, ISSN 00443719 [doi]
 Durrett, R, An introduction to infinite particle systems,
Stochastic Processes and Their Applications, vol. 11 no. 2
(January, 1981),
pp. 109150, Elsevier BV, ISSN 03044149 [doi] [abs]
 Durrett, R, Conditioned limit theorems for random walks with negative drift,
Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, vol. 52 no. 3
(January, 1980),
pp. 277287, Springer Nature, ISSN 00443719 [doi] [abs]
 Durrett, R, Maxima of branching random walks vs. independent random walks,
Stochastic Processes and Their Applications, vol. 9 no. 2
(January, 1979),
pp. 117135, Elsevier BV, ISSN 03044149 [doi] [abs]
 Anthony, PF; Durrett, R; Pulec, JL; Hartstone, JL, A new parameter in brain stem evoked response: Component wave areas,
Laryngoscope, vol. 89 no. 10 I
(1979),
pp. 15691578 [abs]
 Durrett, R, The genealogy of critical branching processes,
Stochastic Processes and Their Applications, vol. 8 no. 1
(January, 1978),
pp. 101116, Elsevier BV, ISSN 03044149 [doi] [abs]
 Durrett, RT; Resnick, SI, Weak convergence with random indices,
Stochastic Processes and Their Applications, vol. 5 no. 3
(January, 1977),
pp. 213220, Elsevier BV, ISSN 03044149 [doi] [abs]
 Chung, KL; Durrett, R, Downcrossings and local time,
Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, vol. 35 no. 2
(June, 1976),
pp. 147149, Springer Nature America, Inc, ISSN 00443719 [doi]
 Durrett, RT; Ghurye, SG, WAITING TIMES WITHOUT MEMORY.,
J Appl Probab, vol. 13 no. 1
(January, 1976),
pp. 6575 [abs]
Papers Accepted
 R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case,
Annals Applied Probability
(2013)
Papers Submitted
 S. Magura, V. Pong, D. Sivakoff, and R. Durrett, Two evolving social network models
(2013)
 R. Durrett, Phase transition in a metapopulation version of Schelling's model
(2012)
 R. Durrett, J. Foo, and K. Leder, Spatial Moran Models II. Tumor growth and progression
(2012)


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Mathematics Department
Duke University, Box 90320
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