Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke





.......................

.......................


Publications of Richard T. Durrett    :chronological  alphabetical  by type  bibtex listing:

  1. Cristali, I; Junge, M; Durrett, R, Poisson percolation on the oriented square lattice, Stochastic Processes and Their Applications (January, 2019) [doi]  [abs]
  2. Wang, Z; Durrett, R, Extrapolating weak selection in evolutionary games., Journal of Mathematical Biology, vol. 78 no. 1-2 (January, 2019), pp. 135-154 [doi]  [abs]
  3. Ma, R; Durrett, R, A simple evolutionary game arising from the study of the role of igf-II in pancreatic cancer, The Annals of Applied Probability, vol. 28 no. 5 (October, 2018), pp. 2896-2921, Institute of Mathematical Statistics [doi]  [abs]
  4. Talkington, A; Dantoin, C; Durrett, R, Ordinary Differential Equation Models for Adoptive Immunotherapy., Bulletin of Mathematical Biology, vol. 80 no. 5 (May, 2018), pp. 1059-1083 [doi]  [abs]
  5. Huo, R; Durrett, R, Latent voter model on locally tree-like random graphs, Stochastic Processes and Their Applications, vol. 128 no. 5 (May, 2018), pp. 1590-1614, Elsevier BV [doi]  [abs]
  6. 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]
  7. 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]
  8. 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. 1-10, Institute of Mathematical Statistics [doi]  [abs]
  9. Lopatkin, AJ; Meredith, HR; Srimani, JK; Pfeiffer, C; Durrett, R; You, L, Persistence and reversal of plasmid-mediated antibiotic resistance., Nature Communications, vol. 8 no. 1 (November, 2017), pp. 1689 [doi]  [abs]
  10. Gleeson, JP; Durrett, R, Temporal profiles of avalanches on networks., Nature Communications, vol. 8 no. 1 (October, 2017), pp. 1227 [doi]  [abs]
  11. Tomasetti, C; Durrett, R; Kimmel, M; Lambert, A; Parmigiani, G; Zauber, A; Vogelstein, B, Role of stem-cell divisions in cancer risk, Nature, vol. 548 no. 7666 (August, 2017), pp. E13-E14, Springer Nature [doi]
  12. 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. 6046-6051 [doi]  [abs]
  13. Bessonov, M; Durrett, R, Phase transitions for a planar quadratic contact process, Advances in Applied Mathematics, vol. 87 (June, 2017), pp. 82-107, Elsevier BV [doi]
  14. Durrett, R; Fan, W-TL, Genealogies in expanding populations, The Annals of Applied Probability, vol. 26 no. 6 (December, 2016), pp. 3456-3490, Institute of Mathematical Statistics [doi]
  15. Cox, JT; Durrett, R, Evolutionary games on the torus with weak selection, Stochastic Processes and Their Applications, vol. 126 no. 8 (August, 2016), pp. 2388-2409, Elsevier BV [doi]
  16. 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., Journal of the National Cancer Institute, vol. 108 no. 5 (May, 2016) [doi]  [abs]
  17. 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. 1369-1400, ISSN 0303-6812 [doi]  [abs]
  18. Durrett, R; Zhang, Y, Coexistence of grass, saplings and trees in the Staver–Levin forest model, The Annals of Applied Probability, vol. 25 no. 6 (December, 2015), pp. 3434-3464, Institute of Mathematical Statistics, ISSN 1050-5164 [doi]
  19. Talkington, A; Durrett, R, Estimating Tumor Growth Rates In Vivo., Bulletin of Mathematical Biology, vol. 77 no. 10 (October, 2015), pp. 1934-1954, ISSN 0092-8240 [doi]  [abs]
  20. Varghese, C; Durrett, R, Spatial networks evolving to reduce length, Journal of Complex Networks, vol. 3 no. 3 (September, 2015), pp. 411-430, Oxford University Press (OUP) [doi]
  21. 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 1553-734X [repository], [doi]  [abs]
  22. Durrett, R; Moseley, S, Spatial Moran models I. Stochastic tunneling in the neutral case, The Annals of Applied Probability, vol. 25 no. 1 (February, 2015), pp. 104-115, Institute of Mathematical Statistics, ISSN 1050-5164 [doi]
  23. Magura, SR; Pong, VH; Durrett, R; Sivakoff, D, Two evolving social network models, Alea, vol. 12 no. 2 (January, 2015), pp. 699-715  [abs]
  24. R.T. Durrett, Branching process models of cancer (2015), Springer
  25. Durrett, R, Spatial evolutionary games with small selection coefficients, Electronic Journal of Probability, vol. 19 (December, 2014), Institute of Mathematical Statistics [doi]  [abs]
  26. Aristotelous, AC; Durrett, R, Fingering in Stochastic Growth Models, Experimental Mathematics, vol. 23 no. 4 (October, 2014), pp. 465-474, Informa UK Limited, ISSN 1058-6458 [doi]
  27. 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. 14036-14041, ISSN 0027-8424 [doi]  [abs]
  28. Aristotelous, AC; Durrett, R, Chemical evolutionary games., Theoretical Population Biology, vol. 93 (May, 2014), pp. 1-13, ISSN 0040-5809 [doi]  [abs]
  29. 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]
  30. 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), ISSN 1539-3755 [doi]
  31. 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 1539-3755 [doi]  [abs]
  32. Mode, CJ; Durrett, R; Klebaner, F; Olofsson, P, Applications of Stochastic Processes in Biology and Medicine, International Journal of Stochastic Analysis, vol. 2013 (March, 2013), pp. 1-2, Hindawi Limited, ISSN 2090-3332 [doi]
  33. Durrett, R, Cancer Modeling: A Personal Perspective, Notices of the American Mathematical Society, vol. 60 no. 03 (March, 2013), pp. 304-304, American Mathematical Society (AMS), ISSN 0002-9920 [doi]
  34. Chatterjee, S; Durrett, R, A first order phase transition in the threshold ??θ2 contact process on random ??r-regular graphs and ??r-trees, Stochastic Processes and Their Applications, vol. 123 no. 2 (February, 2013), pp. 561-578, Elsevier BV [doi]
  35. 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. 230-250, Institute of Mathematical Statistics [doi]  [abs]
  36. S. Magura, V. Pong, D. Sivakoff, and R. Durrett, Two evolving social network models (2013)
  37. R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case, Annals Applied Probability (2013)
  38. Danesh, K; Durrett, R; Havrilesky, LJ; Myers, E, A branching process model of ovarian cancer., Journal of Theoretical Biology, vol. 314 (December, 2012), pp. 10-15 [22959913], [doi]  [abs]
  39. Durrett, R; Gleeson, JP; Lloyd, AL; Mucha, PJ; Shi, F; Sivakoff, D; Socolar, JES; Varghese, C, Graph fission in an evolving voter model., Proc Natl Acad Sci U S A, vol. 109 no. 10 (March, 2012), pp. 3682-3687 [22355142], [doi]  [abs]
  40. R. Durrett, Phase transition in a meta-population version of Schelling's model (2012)
  41. R. Durrett, J. Foo, and K. Leder, Spatial Moran Models II. Tumor growth and progression (2012)
  42. Durrett, R; Remenik, D, Evolution of dispersal distance, Journal of Mathematical Biology, vol. 64 no. 4 (2012), pp. 657-666, ISSN 0303-6812 [doi]  [abs]
  43. Chatterjee, S; Durrett, R, Asymptotic behavior of Aldous’ gossip process, The Annals of Applied Probability, vol. 21 no. 6 (December, 2011), pp. 2447-2482, Institute of Mathematical Statistics, ISSN 1050-5164 [math.PR/1005.1608], [doi]  [abs]
  44. Durrett, R; Remenik, D, Brunet-derrida particle systems, free boundary problems and wiener-hopf equations, The Annals of Probability, vol. 39 no. 6 (November, 2011), pp. 2043-2078, Institute of Mathematical Statistics, ISSN 0091-1798 [doi]  [abs]
  45. 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. 228-246, WILEY, ISSN 1042-9832 [MR2850270], [doi]  [abs]
  46. 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. 461-477, ISSN 0016-6731 [doi]  [abs]
  47. Durrett, R; Mayberry, J, Traveling waves of selective sweeps, The Annals of Applied Probability, vol. 21 no. 2 (April, 2011), pp. 699-744, Institute of Mathematical Statistics, ISSN 1050-5164 [MR2807971], [doi]  [abs]
  48. Cox, JT; Durrett, R; Perkins, E, Voter model perturbations and reaction diffusion equations, Asterique, vol. 349 (2011), pp. 1-113 [math.PR/1103.1676]
  49. Durrett, R; Chatterjee, S, Persistence of activity in random Boolean networks, Random Structures and Algorithms, vol. 39 (2011), pp. 228-246
  50. Durrett, R; Mayberry, J, Evolution in predator–prey systems, Stochastic Processes and Their Applications, vol. 120 no. 7 (July, 2010), pp. 1364-1392, Elsevier BV, ISSN 0304-4149 [MR2011d:92087], [doi]  [abs]
  51. 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. 4491-4498, ISSN 0027-8424 [doi]  [abs]
  52. 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. 42-48, ISSN 0040-5809 [doi]  [abs]
  53. R. Durrett, Probability: Theory and Examples, 4th Edition (2010), Cambridge U Press
  54. 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 (2010), pp. 54-66, ISSN 0040-5809 [math.PR/1003.1927], [doi]  [abs]
  55. 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. 2332-2356, Institute of Mathematical Statistics, ISSN 0091-1798 [doi]  [abs]
  56. 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. 1921-1943, Institute of Mathematical Statistics, ISSN 1050-5164 [doi]  [abs]
  57. Durrett, R; Remenik, D, Chaos in a spatial epidemic model, The Annals of Applied Probability, vol. 19 no. 4 (August, 2009), pp. 1656-1685, Institute of Mathematical Statistics, ISSN 1050-5164 [MR2010k:60322], [doi]  [abs]
  58. Durrett, R, Coexistence in stochastic spatial models, The Annals of Applied Probability, vol. 19 no. 2 (April, 2009), pp. 477-496, Institute of Mathematical Statistics, ISSN 1050-5164 [MR2521876 (2010g:60213)], [doi]  [abs]
  59. Durrett, R; Schmidt, D; Schweinsberg, J, A waiting time problem arising from the study of multi-stage carcinogenesis, The Annals of Applied Probability, vol. 19 no. 2 (April, 2009), pp. 676-718, Institute of Mathematical Statistics, ISSN 1050-5164 [MR2521885 (2010f:60243)], [doi]  [abs]
  60. Durrett, R; Schmidt, D, Reply to Michael Behe, Genetics, vol. 181 no. 2 (February, 2009), pp. 821-822, Genetics Society of America, ISSN 0016-6731 [doi]
  61. Durrett, R; Popovic, L, Degenerate diffusions arising from gene duplication models, The Annals of Applied Probability, vol. 19 no. 1 (February, 2009), pp. 15-48, Institute of Mathematical Statistics, ISSN 1050-5164 [MR2521876 (2010g:60213)], [doi]  [abs]
  62. R. Durrett, Elementary Probability for Applications, 4th Edition (2009), pp. x+243, Cambridge University Press, Cambridge, ISBN 978-0-521-86756-6 [MR2537423 (2010i:60003)]
  63. 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 (2009), pp. 1279-1293, ISSN 0040-5752 [doi]  [abs]
  64. Chan, B; Durrett, R; Lanchier, N, Coexistence in a particle system with seasons, Ann. Appl. Probab., vol. 19 no. 5 (2009), pp. 1921-1943, ISSN 1050-5164 [doi]  [abs]
  65. Durrett, R; Lanchier, N, Coexistence in host–pathogen systems, Stochastic Processes and Their Applications, vol. 118 no. 6 (June, 2008), pp. 1004-1021, Elsevier BV, ISSN 0304-4149 [MR2418255 (2009g:60131)], [doi]  [abs]
  66. Durrett, R; Restrepo, M, One-dimensional stepping stone models, sardine genetics and Brownian local time, The Annals of Applied Probability, vol. 18 no. 1 (February, 2008), pp. 334-358, Institute of Mathematical Statistics, ISSN 1050-5164 [MR2380901 (2008j:60229)], [doi]  [abs]
  67. Berestycki, N; Durrett, R, Limiting behavior for the distance of a random walk, Electronic Journal of Probability, vol. 13 (January, 2008), pp. 374-395, Institute of Mathematical Statistics, ISSN 1083-6489 [MR2386737 (2009d:60130)], [doi]  [abs]
  68. Chung, KL; Durrett, R, Downcrossings and local time, in Selected Works of Kai Lai Chung (January, 2008), pp. 585-587, World Scientific, ISBN 9789812833853 [doi]  [abs]
  69. Huerta-Sanchez, E; Durrett, R; Bustamante, CD, Population genetics of polymorphism and divergence under fluctuating selection, Genetics, vol. 178 no. 1 (2008), pp. 325-337, ISSN 0016-6731 [doi]  [abs]
  70. 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 (2008), pp. 1501-1509, ISSN 0016-6731 [doi]  [abs]
  71. Durrett, R; Zähle, I, On the width of hybrid zones, Stochastic Processes and Their Applications, vol. 117 no. 12 (December, 2007), pp. 1751-1763, Elsevier BV, ISSN 0304-4149 [MR2437727 (2010d:60215)], [doi]  [abs]
  72. 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. 1910-1927, Elsevier BV, ISSN 0304-4149 [MR2437735 (2009h:60162)], [doi]  [abs]
  73. York, TL; Durrett, R; Nielsen, R, Dependence of paracentric inversion rate on tract length., Bmc Bioinformatics, vol. 8 (April, 2007), pp. 115, ISSN 1471-2105 (paper 115.) [doi]  [abs]
  74. Durrett, R; Schmidt, D, Waiting for regulatory sequences to appear, The Annals of Applied Probability, vol. 17 no. 1 (February, 2007), pp. 1-32, Institute of Mathematical Statistics, ISSN 1050-5164 [MR2292578 (2007j:92034)], [doi]  [abs]
  75. R. Durrett and Iljana Zahle, On the width of hybrid zones, Stochastic Processes and their Applications, vol. 117 (2007), pp. 1751--1763, ISSN 0304-4149 [MR2010d:60215]
  76. Huerta-Sanchez, E; Durrett, R, Wagner's canalization model, Theoretical Population Biology, vol. 71 no. 2 (2007), pp. 121-130, ISSN 0040-5809 [doi]  [abs]
  77. 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. 969-981, ISSN 0016-6731 [doi]  [abs]
  78. Sainudiin, R; Clark, AG; Durrett, RT, Simple models of genomic variation in human SNP density, Bmc Genomics, vol. 8 (2007), ISSN 1471-2164 (paper 146.) [doi]  [abs]
  79. De, A; Durrett, R, Stepping-stone spatial structure causes slow decay of linkage disequilibrium and shifts the site frequency spectrum, Genetics, vol. 176 no. 2 (2007), pp. 969-981, ISSN 0016-6731 [doi]  [abs]
  80. Berestycki, N; Durrett, R, A phase transition in the random transposition random walk, Probability Theory and Related Fields, vol. 136 no. 2 (October, 2006), pp. 203-233, Springer Nature, ISSN 0178-8051 [MR2240787 (2007i:60009)], [doi]  [abs]
  81. Chan, B; Durrett, R, A new coexistence result for competing contact processes, The Annals of Applied Probability, vol. 16 no. 3 (August, 2006), pp. 1155-1165, Institute of Mathematical Statistics, ISSN 1050-5164 [MR2260060 (2008h:60400)], [doi]  [abs]
  82. Durrett, R, Random graph dynamics, Cambridge Series in Statistical and Probabilistic Mathematics, Random Graph Dynamics (January, 2006), pp. 1-212, Cambridge University Press, Cambridge, ISBN 978-0-521-86656-9; 0-521-86656-1 [MR2271734 (2008c:05167)], [doi]  [abs]
  83. R. Durrett, Probability Models of DNA Sequence Evolution, 2nd Edition (2006), Springer
  84. Durrett, R; Schweinsberg, J, Power laws for family sizes in a duplication model, The Annals of Probability, vol. 33 no. 6 (November, 2005), pp. 2094-2126, Institute of Mathematical Statistics, ISSN 0091-1798 [MR2006j:60092], [doi]  [abs]
  85. 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. 1628-1657, Elsevier BV, ISSN 0304-4149 [MR2165337 (2006h:92026)], [doi]  [abs]
  86. Blasiak, J; Durrett, R, Random Oxford graphs, Stochastic Processes and Their Applications, vol. 115 no. 8 (August, 2005), pp. 1257-1278, Elsevier BV, ISSN 0304-4149 [MR2152374 (2006j:60008)], [doi]  [abs]
  87. 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. 1591-1651, Institute of Mathematical Statistics, ISSN 1050-5164 [MR2152239 (2006c:92012)], [doi]  [abs]
  88. 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. 267-286, Elsevier BV [doi]  [abs]
  89. Z�hle, I; Cox, JT; Durrett, R, The stepping stone model. II: Genealogies and the infinite sites model, The Annals of Applied Probability, vol. 15 no. 1B (February, 2005), pp. 671-699, Institute of Mathematical Statistics, ISSN 1050-5164 [MR2114986 (2006d:60157)], [doi]  [abs]
  90. R. Durrett, Genome rearrangement, in Statistical methods in molecular evolution, Stat. Biol. Health (2005), pp. 307--323, Springer, New York [MR2161835 (2006f:92021)]
  91. York, TL; Durrett, RT; Tanksley, S; Nielsen, R, Bayesian and maximum likelihood estimation of genetic maps, Genetical Research, vol. 85 no. 2 (2005), pp. 159-168 [doi]  [abs]
  92. Durrett, R; Mytnik, L; Perkins, E, Competing super-Brownian motions as limits of interacting particle systems, Electronic Journal of Probability, vol. 10 (2005), pp. 1147-1220, Institute of Mathematical Statistics, ISSN 1083-6489 [MR2164042 (2006f:60052)], [doi]  [abs]
  93. Durrett, R; Schweinsberg, J, Approximating selective sweeps, Theoretical Population Biology, vol. 66 no. 2 (2004), pp. 129-138 [doi]  [abs]
  94. Ward, R; Durrett, R, Subfunctionalization: How often does it occur? How long does it take?, Theoretical Population Biology, vol. 66 no. 2 (2004), pp. 93-100 [doi]  [abs]
  95. Durrett, R; Nielsen, R; York, TL, Bayesian Estimation of Genomic Distance, Genetics, vol. 166 no. 1 (2004), pp. 621-629 [doi]  [abs]
  96. Schmidt, D; Durrett, R, Adaptive evolution drives the diversification of zinc-finger binding domains, Molecular Biology and Evolution, vol. 21 no. 12 (2004), pp. 2326-2339 [doi]  [abs]
  97. Sainudiin, R; Durrett, RT; Aquadro, CF; Nielsen, R, Microsatellite mutation models: Insights from a comparison of humans and chimpanzees, Genetics, vol. 168 no. 1 (2004), pp. 383-395 [doi]  [abs]
  98. Durrett, R; Limic, V, Rigorous results for the N K model, The Annals of Probability, vol. 31 no. 4 (October, 2003), pp. 1713-1753, Institute of Mathematical Statistics, ISSN 0091-1798 [doi]  [abs]
  99. Calabrese, P; Durrett, R, Dinucleotide repeats in the drosophila and human genomes have complex, length-dependent mutation processes, Molecular Biology and Evolution, vol. 20 no. 5 (2003), pp. 715-725 [doi]  [abs]
  100. Cox, T; Durrett, R, Erratum: The stepping stone model: New formulas expose old myths (The Annals of Applied Probability (2002) 12 (1348-1377)), The Annals of Applied Probability, vol. 13 no. 2 (2003), pp. 816-, ISSN 1050-5164
  101. Durrett, R, Shuffling Chromosomes, Journal of Theoretical Probability, vol. 16 no. 3 (2003), pp. 725-750, ISSN 0894-9840 [doi]  [abs]
  102. 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. 301-309, Elsevier BV, ISSN 0304-4149 [doi]  [abs]
  103. 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. 1348-1377, Institute of Mathematical Statistics [doi]  [abs]
  104. Durrett, R; Kesten, H; Limic, V, Once edge-reinforced random walk on a tree, Probability Theory and Related Fields, vol. 122 no. 4 (April, 2002), pp. 567-592, Springer Nature [doi]  [abs]
  105. 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. 737-775, WILEY, ISSN 1369-7412 [doi]
  106. Durrett, RT; Chen, K-Y; Tanksley, SD, A simple formula useful for positional cloning, Genetics, vol. 160 no. 1 (2002), pp. 353-355, ISSN 0016-6731  [abs]
  107. Durrett, R, Mutual invadability implies coexistence in spatial models, Memoirs of the American Mathematical Society no. 740 (2002)  [abs]
  108. York, TL; Durrett, R; Nielsen, R, Bayesian estimation of the number of inversions in the history of two chromosomes, Journal of Computational Biology, vol. 9 no. 6 (2002), pp. 805-818 [doi]  [abs]
  109. Buttel, LA; Durrett, R; Levin, SA, Competition and Species Packing in Patchy Environments, Theoretical Population Biology, vol. 61 no. 3 (2002), pp. 265-276 [doi]  [abs]
  110. 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. 839-852, ISSN 0016-6731  [abs]
  111. Arkendra, DE; Ferguson, M; Sindi, S; 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, vol. 38 no. 2 (June, 2001), pp. 324-334, Cambridge University Press (CUP), ISSN 0021-9002 [doi]  [abs]
  112. 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. 1-24, Elsevier BV [doi]  [abs]
  113. Diaconis, P; Durrett, R, Chutes and Ladders in Markov Chains, Journal of Theoretical Probability, vol. 14 no. 3 (2001), pp. 899-926 [doi]  [abs]
  114. Sundell, NM; Durrett, RT, Exponential distance statistics to detect the effects of population subdivision, Theoretical Population Biology, vol. 60 no. 2 (2001), pp. 107-116, ISSN 0040-5809 [doi]  [abs]
  115. 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. 1210-1219, ISSN 0737-4038 [doi]  [abs]
  116. Vision, TJ; Brown, DG; Shmoys, DB; Durrett, RT; Tanksley, SD, Selective mapping: a strategy for optimizing the construction of high-density linkage maps., Genetics, vol. 155 no. 1 (May, 2000), pp. 407-420  [abs]
  117. Liu, YC; Durrett, R; Milgroom, MG, A spatially-structured stochastic model to simulate heterogenous transmission of viruses in fungal populations, Ecological Modelling, vol. 127 no. 2-3 (March, 2000), pp. 291-308, Elsevier BV [doi]  [abs]
  118. Cox, JT; Durrett, R; Perkins, EA, Rescaled voter models converge to super-Brownian motion, The Annals of Probability, vol. 28 no. 1 (January, 2000), pp. 185-234, Institute of Mathematical Statistics [doi]  [abs]
  119. Durrett, R; Buttel, L; Harrison, R, Spatial models for hybrid zones, Heredity, vol. 84 no. 1 (2000), pp. 9-19, ISSN 0018-067X [doi]  [abs]
  120. Durrett, R; Schinazi, RB, Boundary Modified Contact Processes, Journal of Theoretical Probability, vol. 13 no. 2 (2000), pp. 575-594  [abs]
  121. Durrett, R; Levin, S, Lessons on pattern formation from planet WATOR, Journal of Theoretical Biology, vol. 205 no. 2 (2000), pp. 201-214, ISSN 0022-5193 [doi]  [abs]
  122. 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 (2000), pp. 617-627  [abs]
  123. Durrett, R; Perkins, EA, Rescaled contact processes converge to super-Brownian motion in two or more dimensions, Probability Theory and Related Fields, vol. 114 no. 3 (June, 1999), pp. 309-399, Springer Nature [doi]  [abs]
  124. 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. 270-282, ISSN 0040-5809 [doi]  [abs]
  125. Durrett, R, Stochastic spatial models, Siam Review, vol. 41 no. 4 (January, 1999), pp. 677-718, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  126. Durrett, R; Granovsky, BL; Gueron, S, The Equilibrium Behavior of Reversible Coagulation-Fragmentation Processes, Journal of Theoretical Probability, vol. 12 no. 2 (January, 1999), pp. 447-474 [doi]  [abs]
  127. Durrett, R; Kruglyak, S, A new stochastic model of microsatellite evolution, Journal of Applied Probability, vol. 36 no. 3 (January, 1999), pp. 621-631, Cambridge University Press (CUP) [doi]  [abs]
  128. 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. 10774-10778, ISSN 0027-8424 [doi]  [abs]
  129. Durrett, R; Levin, S, ERRATUM, Theoretical Population Biology, vol. 53 no. 3 (June, 1998), pp. 284-284, Elsevier BV [doi]
  130. 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. 658-709, Institute of Mathematical Statistics [doi]  [abs]
  131. R. Durrett, Essentials of Stochastic Processes (1998), Springer-Verlag
  132. Durrett, R; Levin, S, Spatial aspects of interspecific competition, Theoretical Population Biology, vol. 53 no. 1 (1998), pp. 30-43, ISSN 0040-5809 [doi]  [abs]
  133. Durrett, R; Levin, S, Allelopathy in Spatially Distributed Populations, Journal of Theoretical Biology, vol. 185 no. 2 (March, 1997), pp. 165-171, Elsevier BV [doi]  [abs]
  134. Durrett, R; Neuhauser, C, Coexistence results for some competition models, The Annals of Applied Probability, vol. 7 no. 1 (February, 1997), pp. 10-45, Institute of Mathematical Statistics [doi]  [abs]
  135. 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. 1103-1134, Institute of Mathematical Statistics [doi]  [abs]
  136. Allouba, H; Durrett, R; Hawkes, J; Perkins, E, Super-Tree Random Measures, Journal of Theoretical Probability, vol. 10 no. 3 (1997), pp. 773-794  [abs]
  137. Durrett, R; Levin, S, Spatial Models for Species-Area Curves, Journal of Theoretical Biology, vol. 179 no. 2 (March, 1996), pp. 119-127, Elsevier BV [doi]  [abs]
  138. R. Durrett, Stochastic Calculus: A Practrical Introduction (1996), CRC Press
  139. Bramson, M; Cox, JT; Durrett, R, Spatial models for species area curves, The Annals of Probability, vol. 24 no. 4 (1996), pp. 1727-1751, Institute of Mathematical Statistics [doi]  [abs]
  140. Cox, JT; Durrett, R, Hybrid zones and voter model interfaces, Bernoulli, vol. 1 no. 4 (December, 1995), pp. 343-370, Bernoulli Society for Mathematical Statistics and Probability [doi]  [abs]
  141. Durrett, R; Swindle, G, Coexistence results for catalysts, Probability Theory and Related Fields, vol. 98 no. 4 (December, 1994), pp. 489-515, Springer Nature, ISSN 0178-8051 [doi]  [abs]
  142. Durrett, R; Levin, S, The importance of being discrete (and spatial), Theoretical Population Biology, vol. 46 no. 3 (January, 1994), pp. 363-394, Elsevier BV [doi]  [abs]
  143. 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. 329-350, The Royal Society, ISSN 0962-8436 [doi]
  144. Durrett, R; Griffeath, D, Asymptotic Behavior of Excitable Cellular Automata, Experimental Mathematics, vol. 2 no. 3 (January, 1993), pp. 183-208, Informa UK Limited [doi]
  145. Durrett, RT; Rogers, LCG, Asymptotic behavior of Brownian polymers, Probability Theory and Related Fields, vol. 92 no. 3 (September, 1992), pp. 337-349, Springer Nature, ISSN 0178-8051 [doi]  [abs]
  146. Durrett, R, Multicolor particle systems with large threshold and range, Journal of Theoretical Probability, vol. 5 no. 1 (January, 1992), pp. 127-152, Springer Nature, ISSN 0894-9840 [doi]  [abs]
  147. Durrett, R; Steif, JE, Some rigorous results for the Greenberg-Hastings Model, Journal of Theoretical Probability, vol. 4 no. 4 (October, 1991), pp. 669-690, Springer Nature, ISSN 0894-9840 [doi]  [abs]
  148. 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. 325-332, Springer Nature, ISSN 0178-8051 [doi]  [abs]
  149. Durrett, R; M�ller, AM, Complete convergence theorem for a competition model, Probability Theory and Related Fields, vol. 88 no. 1 (March, 1991), pp. 121-136, Springer Nature, ISSN 0178-8051 [doi]  [abs]
  150. Durrett, R; Swindle, G, Are there bushes in a forest?, Stochastic Processes and Their Applications, vol. 37 no. 1 (January, 1991), pp. 19-31, Elsevier BV, ISSN 0304-4149 [doi]  [abs]
  151. Durrett, R; Kesten, H; Waymire, E, On weighted heights of random trees, Journal of Theoretical Probability, vol. 4 no. 1 (January, 1991), pp. 223-237, Springer Nature, ISSN 0894-9840 [doi]  [abs]
  152. Bramson, M; Wan-ding, D; Durrett, R, Annihilating branching processes, Stochastic Processes and Their Applications, vol. 37 no. 1 (January, 1991), pp. 1-17, Elsevier BV, ISSN 0304-4149 [doi]  [abs]
  153. 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. 349-353, Springer Nature, ISSN 1439-8516 [doi]  [abs]
  154. Ding, W-D; Durrett, R; Liggett, TM, Ergodicity of reversible reaction diffusion processes, Probability Theory and Related Fields, vol. 85 no. 1 (March, 1990), pp. 13-26, Springer Nature, ISSN 0178-8051 [doi]  [abs]
  155. Cox, JT; Durrett, R, Large deviations for independent random walks, Probability Theory and Related Fields, vol. 84 no. 1 (March, 1990), pp. 67-82, Springer Nature, ISSN 0178-8051 [doi]  [abs]
  156. Durrett, R; Tanaka, NI, Scaling inequalities for oriented percolation, Journal of Statistical Physics, vol. 55 no. 5-6 (June, 1989), pp. 981-995, Springer Nature, ISSN 0022-4715 [doi]  [abs]
  157. Durrett, R; Schonmann, RH; Tanaka, NI, Correlation lengths for oriented percolation, Journal of Statistical Physics, vol. 55 no. 5-6 (June, 1989), pp. 965-979, Springer Nature, ISSN 0022-4715 [doi]  [abs]
  158. 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. 293-298, Springer Nature America, Inc, ISSN 0178-8051 [doi]  [abs]
  159. Cox, JT; Durrett, R, Limit theorems for the spread of epidemics and forest fires, Stochastic Processes and Their Applications, vol. 30 no. 2 (December, 1988), pp. 171-191, Elsevier BV, ISSN 0304-4149 [doi]  [abs]
  160. Bramson, M; Durrett, R, Random walk in random environment: A counterexample?, Communications in Mathematical Physics, vol. 119 no. 2 (June, 1988), pp. 199-211, Springer Nature, ISSN 0010-3616 [doi]  [abs]
  161. Durrett, R, Crabgrass, measles and gypsy moths: An introduction to modern probability, Bulletin of the American Mathematical Society, vol. 18 no. 2 (April, 1988), pp. 117-144, American Mathematical Society (AMS) [doi]
  162. Durrett, R, Crabgrass, measles, and gypsy moths: An introduction to interacting particle systems, The Mathematical Intelligencer, vol. 10 no. 2 (March, 1988), pp. 37-47, Springer Nature, ISSN 0343-6993 [doi]
  163. 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. 307-324, Springer Nature America, Inc, ISSN 0178-8051 [doi]  [abs]
  164. R. Durrett, Lecture Notes on Particle Systems and Percolation (1988), Wadsworth
  165. Durrett, R; Schonmann, RH, Large deviations for the contact process and two dimensional percolation, Probability Theory and Related Fields, vol. 77 no. 4 (1988), pp. 583-603, Springer Nature, ISSN 0178-8051 [doi]  [abs]
  166. Brennan, MD; Durrett, R, Splitting intervals II: Limit laws for lengths, Probability Theory and Related Fields, vol. 75 no. 1 (May, 1987), pp. 109-127, Springer Nature America, Inc, ISSN 0178-8051 [doi]  [abs]
  167. Chayes, JT; Chayes, L; Durrett, R, Inhomogeneous percolation problems and incipient infinite clusters, Journal of Physics A: Mathematical and General, vol. 20 no. 6 (April, 1987), pp. 1521-1530, IOP Publishing, ISSN 0305-4470 [doi]  [abs]
  168. Chayes, JT; Chayes, L; Durrett, R, Critical behavior of the two-dimensional first passage time, Journal of Statistical Physics, vol. 45 no. 5-6 (December, 1986), pp. 933-951, Springer Nature, ISSN 0022-4715 [doi]  [abs]
  169. Durrett, R, Multidimensional random walks in random environments with subclassical limiting behavior, Communications in Mathematical Physics, vol. 104 no. 1 (March, 1986), pp. 87-102, Springer Nature, ISSN 0010-3616 [doi]  [abs]
  170. 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. 421-437, Springer Nature America, Inc, ISSN 0044-3719 [doi]  [abs]
  171. Durrett, R; Nguyen, B, Thermodynamic inequalities for percolation, Communications in Mathematical Physics, vol. 99 no. 2 (June, 1985), pp. 253-269, Springer Nature, ISSN 0010-3616 [doi]  [abs]
  172. R. Durrett, Brownian Motion and Martingales in Analysis (1984), Wadsworth
  173. Durrett, R; Liggett, TM, Fixed points of the smoothing transformation, Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, vol. 64 no. 3 (September, 1983), pp. 275-301, Springer Nature, ISSN 0044-3719 [doi]  [abs]
  174. Durrett, R, Maxima of branching random walks, Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, vol. 62 no. 2 (June, 1983), pp. 165-170, Springer Nature America, Inc, ISSN 0044-3719 [doi]  [abs]
  175. Chung, KL; Durrett, R; Zhao, Z, Extension of domains with finite gauge, Mathematische Annalen, vol. 264 no. 1 (March, 1983), pp. 73-79, Springer Nature, ISSN 0025-5831 [doi]
  176. Cox, JT; Durrett, R, Oriented percolation in dimensions d ≥ 4: bounds and asymptotic formulas, Mathematical Proceedings of the Cambridge Philosophical Society, vol. 93 no. 01 (January, 1983), pp. 151-151, Cambridge University Press (CUP) [doi]
  177. Durrett, R; Griffeath, D, Contact processes in several dimensions, Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, vol. 59 no. 4 (December, 1982), pp. 535-552, Springer Nature America, Inc, ISSN 0044-3719 [doi]
  178. Durrett, R, An introduction to infinite particle systems, Stochastic Processes and Their Applications, vol. 11 no. 2 (May, 1981), pp. 109-150, Elsevier BV, ISSN 0304-4149 [doi]  [abs]
  179. Durrett, R, Conditioned limit theorems for random walks with negative drift, Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, vol. 52 no. 3 (1980), pp. 277-287, Springer Nature, ISSN 0044-3719 [doi]  [abs]
  180. Durrett, R, Maxima of branching random walks vs. independent random walks, Stochastic Processes and Their Applications, vol. 9 no. 2 (November, 1979), pp. 117-135, Elsevier BV, ISSN 0304-4149 [doi]  [abs]
  181. 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. 1569-1578  [abs]
  182. Durrett, R, The genealogy of critical branching processes, Stochastic Processes and Their Applications, vol. 8 no. 1 (November, 1978), pp. 101-116, Elsevier BV, ISSN 0304-4149 [doi]  [abs]
  183. Durrett, RT; Resnick, SI, Weak convergence with random indices, Stochastic Processes and Their Applications, vol. 5 no. 3 (January, 1977), pp. 213-220, Elsevier BV, ISSN 0304-4149 [doi]  [abs]
  184. Chung, KL; Durrett, R, Downcrossings and local time, Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, vol. 35 no. 2 (June, 1976), pp. 147-149, Springer Nature America, Inc, ISSN 0044-3719 [doi]
  185. Durrett, RT; Ghurye, SG, WAITING TIMES WITHOUT MEMORY., J Appl Probab, vol. 13 no. 1 (1976), pp. 65-75  [abs]

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320