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Publications of Richard T. Durrett    :chronological  alphabetical  combined  bibtex listing:

Books

  1. R.T. Durrett, Branching process models of cancer (2015), Springer
  2. R. Durrett, Probability: Theory and Examples, 4th Edition (2010), Cambridge U Press
  3. 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)]
  4. Durrett, R, Random graph dynamics, Cambridge Series in Statistical and Probabilistic Mathematics, Random Graph Dynamics (2007), pp. 1-212, Cambridge University Press, Cambridge, ISBN 978-0-521-86656-9; 0-521-86656-1 [MR2271734 (2008c:05167)], [doi]  [abs]
  5. R. Durrett, Probability Models of DNA Sequence Evolution, 2nd Edition (2006), Springer
  6. R. Durrett, Essentials of Stochastic Processes (1998), Springer-Verlag
  7. R. Durrett, Stochastic Calculus: A Practrical Introduction (1996), CRC Press
  8. R. Durrett, Lecture Notes on Particle Systems and Percolation (1988), Wadsworth
  9. R. Durrett, Brownian Motion and Martingales in Analysis (1984), Wadsworth

Papers Published

  1. 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 [doi]  [abs]
  2. Wang, Z; Durrett, R, Extrapolating weak selection in evolutionary games., Journal of Mathematical Biology (July, 2018) [doi]  [abs]
  3. Gleeson, JP; Durrett, R, Temporal profiles of avalanches on networks, Nature Communications, vol. 8 no. 1 (December, 2017) [doi]
  4. 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]
  5. 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 [doi]
  6. Huo, R; Durrett, R, Latent voter model on locally tree-like random graphs, Stochastic Processes and Their Applications (August, 2017) [doi]
  7. 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]
  8. Bessonov, M; Durrett, R, Phase transitions for a planar quadratic contact process, Advances in Applied Mathematics, vol. 87 (June, 2017), pp. 82-107 [doi]
  9. Durrett, R; Fan, W-TL, Genealogies in expanding populations, The Annals of Applied Probability, vol. 26 no. 6 (December, 2016), pp. 3456-3490 [doi]
  10. 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 [doi]
  11. 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]
  12. 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]
  13. 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, ISSN 1050-5164 [doi]
  14. 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]
  15. Varghese, C; Durrett, R, Spatial networks evolving to reduce length, Journal of Complex Networks, vol. 3 no. 3 (September, 2015), pp. 411-430 [doi]
  16. 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]
  17. 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, ISSN 1050-5164 [doi]
  18. Magura, SR; Pong, VH; Durrett, R; Sivakoff, D, Two evolving social network models, Alea (Rio de Janeiro): Latin American journal of probability and mathematical statistics, vol. 12 no. 2 (January, 2015), pp. 699-715  [abs]
  19. Aristotelous, AC; Durrett, R, Fingering in Stochastic Growth Models, Experimental Mathematics, vol. 23 no. 4 (October, 2014), pp. 465-474, ISSN 1058-6458 [doi]
  20. 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]
  21. Durrett, R, Spatial evolutionary games with small selection coefficients, Electronic Journal of Probability, vol. 19 (2014) [doi]
  22. 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 (2013), pp. 561-578 [doi]
  23. Durrett, R, Population genetics of neutral mutations in exponentially growing cancer cell populations, The Annals of Applied Probability, vol. 23 no. 1 (2012), pp. 230-250 [doi]
  24. 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 (2013), pp. paper 062819, ISSN 1539-3755 [doi]  [abs]
  25. Mode, CJ; Durrett, R; Klebaner, F; Olofsson, P, Applications of stochastic processes in biology and medicine, International Journal of Stochastic Analysis, vol. 2013 (2013), ISSN 2090-3332 [doi]
  26. Durrett, R, Cancer modeling: A personal perspective, Notices of the American Mathematical Society, vol. 60 no. 3 (2013), pp. 304-309, ISSN 0002-9920 [doi]
  27. Danesh, K; Durrett, R; Havrilesky, LJ; Myers, E, A branching process model of ovarian cancer., Journal of Theoretical Biology, vol. 314 (2013), pp. 10-15 [22959913], [doi]  [abs]
  28. 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]
  29. 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]
  30. 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, ISSN 0091-1798 [doi]  [abs]
  31. Durrett, R; Foo, J; Leder, K; Mayberry, J; Michor, F, Intratumor heterogeneity in evolutionary models of tumor progression., Genetics, vol. 188 no. 2 (2011), pp. 461-477, ISSN 0016-6731 [doi]  [abs]
  32. Chatterjee, S; Durrett, R, Asymptotic behavior of Aldous' gossip process, The Annals of Applied Probability, vol. 21 no. 6 (2011), pp. 2447-2482, ISSN 1050-5164 [math.PR/1005.1608], [doi]  [abs]
  33. Durrett, R; Mayberry, J, Traveling waves of selective sweeps, The Annals of Applied Probability, vol. 21 no. 2 (2011), pp. 699-744, ISSN 1050-5164 [MR2807971], [doi]  [abs]
  34. 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 (2009), pp. 228-246, ISSN 1042-9832 [MR2850270], [doi]  [abs]
  35. Cox, JT; Durrett, R; Perkins, E, Voter model perturbations and reaction diffusion equations, Asterique, vol. 349 (2013), pp. 1-113 [math.PR/1103.1676]
  36. Durrett, R; Mayberry, J, Evolution in predator–prey systems, Stochastic Processes and Their Applications, vol. 120 no. 7 (July, 2010), pp. 1364-1392, ISSN 0304-4149 [MR2011d:92087], [doi]  [abs]
  37. 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]
  38. 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]
  39. 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]
  40. 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, ISSN 0091-1798 [doi]  [abs]
  41. Durrett, R; Schmidt, D, Reply to Michael Behe, Genetics, vol. 181 no. 2 (2009), pp. 821-822, ISSN 0016-6731 [doi]
  42. 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, Theoretical and Applied Genetics, vol. 118 no. 7 (2009), pp. 1279-1293, ISSN 0040-5752 [doi]  [abs]
  43. Durrett, R; Popovic, L, Degenerate diffusions arising from gene duplication models, The Annals of Applied Probability, vol. 19 no. 1 (2009), pp. 15-48, ISSN 1050-5164 [MR2521876 (2010g:60213)], [doi]  [abs]
  44. Durrett, R; Remenik, D, Chaos in a spatial epidemic model, The Annals of Applied Probability, vol. 19 no. 4 (2009), pp. 1656-1685, ISSN 1050-5164 [MR2010k:60322], [doi]  [abs]
  45. 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]
  46. Durrett, R, SPecial invited paper coexistence in stochastic spatial models, The Annals of Applied Probability, vol. 19 no. 2 (2009), pp. 477-496, ISSN 1050-5164 [MR2521876 (2010g:60213)], [doi]  [abs]
  47. 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 (2009), pp. 676-718, ISSN 1050-5164 [MR2521885 (2010f:60243)], [doi]  [abs]
  48. Chan, B; Durrett, R; Lanchier, N, Coexistence for a multitype contact process with seasons, The Annals of Applied Probability, vol. 19 no. 5 (2009), pp. 1921-1943, ISSN 1050-5164 [doi]  [abs]
  49. Chung, KL; Durrett, R; Durrett, R, Downcrossings and local time, in Selected Works of Kai Lai Chung (January, 2008), pp. 585-587, ISBN 9789812833860 [doi]  [abs]
  50. 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]
  51. Berestycki, N; Durrett, R, Limiting behavior for the distance of a random walk, Electronic Journal of Probability, vol. 13 (2008), pp. 374-395, ISSN 1083-6489 [MR2386737 (2009d:60130)]  [abs]
  52. 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]
  53. Durrett, R; Restrepo, M, One-dimensional stepping stone models, sardine genetics and Brownian local time, The Annals of Applied Probability, vol. 18 no. 1 (2008), pp. 334-358, ISSN 1050-5164 [MR2380901 (2008j:60229)], [doi]  [abs]
  54. Durrett, R; Lanchier, N, Coexistence in host-pathogen systems, Stochastic Processes and Their Applications, vol. 118 no. 6 (2008), pp. 1004-1021, ISSN 0304-4149 [MR2418255 (2009g:60131)], [doi]  [abs]
  55. 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]
  56. 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]
  57. 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]
  58. 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]
  59. York, TL; Durrett, R; Nielsen, R, Dependence of paracentric inversion rate on tract length, Bmc Bioinformatics, vol. 8 (2007), ISSN 1471-2105 (paper 115.) [doi]  [abs]
  60. Durrett, R; Schmidt, D, Waiting for regulatory sequences to appear, The Annals of Applied Probability, vol. 17 no. 1 (2007), pp. 1-32, ISSN 1050-5164 [MR2292578 (2007j:92034)], [doi]  [abs]
  61. Durrett, R; Zähle, I, On the width of hybrid zones, Stochastic Processes and Their Applications, vol. 117 no. 12 (2007), pp. 1751-1763, ISSN 0304-4149 [MR2437727 (2010d:60215)], [doi]  [abs]
  62. Durrett, R; Jung, P, Two phase transitions for the contact process on small worlds, Stochastic Processes and Their Applications, vol. 117 no. 12 (2007), pp. 1910-1927, ISSN 0304-4149 [MR2437735 (2009h:60162)], [doi]  [abs]
  63. 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]
  64. Berestycki, N; Durrett, R, A phase transition in the random transposition random walk, Probability Theory and Related Fields, vol. 136 no. 2 (2006), pp. 203-233, ISSN 0178-8051 [MR2240787 (2007i:60009)], [doi]  [abs]
  65. Chan, B; Durrett, R, A new coexistence result for competing contact processes, The Annals of Applied Probability, vol. 16 no. 3 (2006), pp. 1155-1165, ISSN 1050-5164 [MR2260060 (2008h:60400)], [doi]  [abs]
  66. R. Durrett, Genome rearrangement, in Statistical methods in molecular evolution, Stat. Biol. Health (2005), pp. 307--323, Springer, New York [MR2161835 (2006f:92021)]
  67. Durrett, R; Levin, SA, Can stable social groups be maintained by homophilous imitation alone?, Journal of Economic Behavior and Organization, vol. 57 no. 3 (2005), pp. 267-286 [doi]  [abs]
  68. 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]
  69. Durrett, R; Schweinsberg, J, Power laws for family sizes in a duplication model, The Annals of Probability, vol. 33 no. 6 (2005), pp. 2094-2126, ISSN 0091-1798 [MR2006j:60092], [doi]  [abs]
  70. 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 (2005), pp. 671-699, ISSN 1050-5164 [MR2114986 (2006d:60157)], [doi]  [abs]
  71. Blasiak, J; Durrett, R, Random Oxford graphs, Stochastic Processes and their Applications, vol. 115 no. 8 (2005), pp. 1257-1278, ISSN 0304-4149 [MR2152374 (2006j:60008)], [doi]  [abs]
  72. Schweinsberg, J; Durrett, R, Random partitions approximating the coalescence of lineages during a selective sweep, Annals of Applied Probability, vol. 15 no. 3 (2005), pp. 1591-1651, ISSN 1050-5164 [MR2152239 (2006c:92012)], [doi]  [abs]
  73. 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, ISSN 1083-6489 [MR2164042 (2006f:60052)], [doi]  [abs]
  74. 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 (2005), pp. 1628-1657, ISSN 0304-4149 [MR2165337 (2006h:92026)], [doi]  [abs]
  75. Durrett, R; Schweinsberg, J, Approximating selective sweeps, Theoretical Population Biology, vol. 66 no. 2 (2004), pp. 129-138 [doi]  [abs]
  76. 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]
  77. Durrett, R; Nielsen, R; York, TL, Bayesian Estimation of Genomic Distance, Genetics, vol. 166 no. 1 (2004), pp. 621-629 [doi]  [abs]
  78. 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]
  79. 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]
  80. 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]
  81. 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
  82. Durrett, R; Limic, V, Rigorous results for the NK model, The Annals of Probability, vol. 31 no. 4 (2003), pp. 1713-1753, ISSN 0091-1798 [doi]  [abs]
  83. Durrett, R, Shuffling Chromosomes, Journal of Theoretical Probability, vol. 16 no. 3 (2003), pp. 725-750, ISSN 0894-9840 [doi]  [abs]
  84. 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]
  85. Durrett, R, Mutual invadability implies coexistence in spatial models, Memoirs of the American Mathematical Society no. 740 (2002)  [abs]
  86. 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]
  87. Balding, DJ; Carothers, AD; Marchini, JL; Cardon, LR; Vetta, A; Griffiths, B; Weir, BS; Hill, WG; Goldstein, D; Strimmer, K; Myers, S; Beaumont, MA; Glasbey, CA; Mayer, CD; Richardson, S; Marshall, C; Durrett, R; Nielsen, R; Visscher, PM; Knott, SA; Haley, CS; Ball, RD; Hackett, CA; Holmes, S; Husmeier, D; Jansen, RC; Braak, CJFT; Maliepaard, CA; Boer, MP; Joyce, P; Li, N; Stephens, M; Marcoulides, GA; Drezner, Z; Mardia, K; McVean, G; Meng, X-L; Ochs, MF; Pagel, M; Sha, N; 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), vol. 64 no. 4 (2002), pp. 737-775, ISSN 1369-7412 [doi]
  88. Durrett, R; Kesten, H; Limic, V, Once edge-reinforced random walk on a tree, Probability Theory and Related Fields, vol. 122 no. 4 (2002), pp. 567-592 [doi]  [abs]
  89. Durrett, R; Limic, V, A surprising poisson process arising from a species competition model, Stochastic Processes and Their Applications, vol. 102 no. 2 (2002), pp. 301-309, ISSN 0304-4149 [doi]  [abs]
  90. 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]
  91. Cox, JT; Durrett, R, The stepping stone model: New formulas expose old myths, Annals of Applied Probability, vol. 12 no. 4 (2002), pp. 1348-1377 [doi]  [abs]
  92. 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]
  93. Diaconis, P; Durrett, R, Chutes and Ladders in Markov Chains, Journal of Theoretical Probability, vol. 14 no. 3 (2001), pp. 899-926 [doi]  [abs]
  94. 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]
  95. 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 (2001), pp. 1-24 [doi]  [abs]
  96. 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 (2001), pp. 324-334, ISSN 0021-9002 [doi]  [abs]
  97. 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]
  98. 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]
  99. 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 [doi]  [abs]
  100. 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]
  101. Liu, Y-C; 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 (2000), pp. 291-308 [doi]  [abs]
  102. Durrett, R; Schinazi, RB, Boundary Modified Contact Processes, Journal of Theoretical Probability, vol. 13 no. 2 (2000), pp. 575-594  [abs]
  103. 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]
  104. 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]
  105. 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]
  106. Durrett, R, Stochastic spatial models, SIAM Review, vol. 41 no. 4 (1999), pp. 677-718  [abs]
  107. 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 (1999), pp. 309-399  [abs]
  108. Durrett, R; Granovsky, BL; Gueron, S, The Equilibrium Behavior of Reversible Coagulation-Fragmentation Processes, Journal of Theoretical Probability, vol. 12 no. 2 (1999), pp. 447-474  [abs]
  109. Durrett, R; Kruglyak, S, A new stochastic model of microsatellite evolution, Journal of Applied Probability, vol. 36 no. 3 (1999), pp. 621-631 [doi]  [abs]
  110. 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]
  111. Durrett, R; Levin, S, Erratum: Spatial aspects of interspecific competition (Theoretical Population Biology (1998) 53:1 (30-43)), Theoretical Population Biology, vol. 53 no. 3 (1998), pp. 284- [doi]
  112. Bramson, M; Cox, JT; Durrett, R, A spatial model for the abundance of species, Annals of Probability, vol. 26 no. 2 (1998), pp. 658-709  [abs]
  113. 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]
  114. 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]
  115. Durrett, R; Neuhauser, C, Coexistence results for some competition models, Annals of Applied Probability, vol. 7 no. 1 (1997), pp. 10-45  [abs]
  116. Durrett, R; Levin, S, Allelopathy in spatially distributed populations, Journal of Theoretical Biology, vol. 185 no. 2 (1997), pp. 165-171 [doi]  [abs]
  117. Chen, Z-Q; Durrett, R; Ma, G, Holomorphic diffusions and boundary behavior of harmonic functions, Annals of Probability, vol. 25 no. 3 (1997), pp. 1103-1134  [abs]
  118. Durrett, R; Levin, S, Spatial models for species-area curves, Journal of Theoretical Biology, vol. 179 no. 2 (1996), pp. 119-127 [doi]  [abs]
  119. Bramson, M; Cox, JT; Durrett, R, Spatial models for species area curves, Annals of Probability, vol. 24 no. 4 (1996), pp. 1727-1751  [abs]
  120. Cox, JT; Durrett, R, Hybrid zones and voter model interfaces, Bernoulli, vol. 1 no. 4 (January, 1995), pp. 343-370 [doi]  [abs]
  121. Durrett, R; Levin, S, The Importance of Being Discrete (and Spatial), Theoretical Population Biology, vol. 46 no. 3 (December, 1994), pp. 363-394 [doi]
  122. Durrett, R; Swindle, G, Coexistence results for catalysts, Probability Theory and Related Fields, vol. 98 no. 4 (1994), pp. 489-515, ISSN 0178-8051 [doi]  [abs]
  123. 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 (1994), pp. 329-350, ISSN 0962-8436
  124. Durrett, R; Griffeath, D, Asymptotic Behavior of Excitable Cellular Automata, Experimental Mathematics, vol. 2 no. 3 (January, 1993), pp. 183-208 [doi]
  125. Durrett, R, Multicolor particle systems with large threshold and range, Journal of Theoretical Probability, vol. 5 no. 1 (1992), pp. 127-152, ISSN 0894-9840 [doi]  [abs]
  126. Durrett, RT; Rogers, LCG, Asymptotic behavior of Brownian polymers, Probability Theory and Related Fields, vol. 92 no. 3 (1992), pp. 337-349, ISSN 0178-8051 [doi]  [abs]
  127. Durrett, R; Swindle, G, Are there bushes in a forest?, Stochastic Processes and Their Applications, vol. 37 no. 1 (1991), pp. 19-31, ISSN 0304-4149  [abs]
  128. Durrett, R; Kesten, H; Waymire, E, On weighted heights of random trees, Journal of Theoretical Probability, vol. 4 no. 1 (1991), pp. 223-237, ISSN 0894-9840 [doi]  [abs]
  129. Cox, JT; Durrett, R; Schinazi, R, The critical contact process seen from the right edge, Probability Theory and Related Fields, vol. 87 no. 3 (1991), pp. 325-332, ISSN 0178-8051 [doi]  [abs]
  130. Bramson, M; Wan-ding, D; Durrett, R, Annihilating branching processes, Stochastic Processes and Their Applications, vol. 37 no. 1 (1991), pp. 1-17, ISSN 0304-4149  [abs]
  131. Durrett, R; Møller, AM, Complete convergence theorem for a competition model, Probability Theory and Related Fields, vol. 88 no. 1 (1991), pp. 121-136, ISSN 0178-8051 [doi]  [abs]
  132. Durrett, R; Steif, JE, Some rigorous results for the Greenberg-Hastings Model, Journal of Theoretical Probability, vol. 4 no. 4 (1991), pp. 669-690, ISSN 0894-9840 [doi]  [abs]
  133. Ding, W-D; Durrett, R; Liggett, TM, Ergodicity of reversible reaction diffusion processes, Probability Theory and Related Fields, vol. 85 no. 1 (1990), pp. 13-26, ISSN 0178-8051 [doi]  [abs]
  134. Jinwen, C; Durrett, R; Xiufang, L, Exponential convergence for one dimensional contact processes, Acta Mathematica Sinica, English Series, vol. 6 no. 4 (1990), pp. 349-353, ISSN 1439-8516 [doi]  [abs]
  135. Cox, JT; Durrett, R, Large deviations for independent random walks, Probability Theory and Related Fields, vol. 84 no. 1 (1990), pp. 67-82, ISSN 0178-8051 [doi]  [abs]
  136. Durrett, R; Tanaka, NI, Scaling inequalities for oriented percolation, Journal of Statistical Physics, vol. 55 no. 5-6 (1989), pp. 981-995, ISSN 0022-4715 [doi]  [abs]
  137. Durrett, R; Schonmann, RH; Tanaka, NI, Correlation lengths for oriented percolation, Journal of Statistical Physics, vol. 55 no. 5-6 (1989), pp. 965-979, ISSN 0022-4715 [doi]  [abs]
  138. 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 [doi]
  139. Durrett, R, Crabgrass, measles, and gypsy moths: An introduction to interacting particle systems, The Mathematical Intelligencer, vol. 10 no. 2 (1988), pp. 37-47, ISSN 0343-6993 [doi]
  140. Chayes, JT; Chayes, L; Durrett, R, Connectivity properties of Mandelbrot's percolation process, Probability Theory and Related Fields, vol. 77 no. 3 (1988), pp. 307-324, ISSN 0178-8051 [doi]  [abs]
  141. Bramson, M; Durrett, R, Random walk in random environment: A counterexample?, Communications in Mathematical Physics, vol. 119 no. 2 (1988), pp. 199-211, ISSN 0010-3616 [doi]  [abs]
  142. Bramson, M; Durrett, R, A simple proof of the stability criterion of Gray and Griffeath, Probability Theory and Related Fields, vol. 80 no. 2 (1988), pp. 293-298, ISSN 0178-8051 [doi]  [abs]
  143. Cox, JT; Durrett, R, Limit theorems for the spread of epidemics and forest fires, Stochastic Processes and Their Applications, vol. 30 no. 2 (1988), pp. 171-191, ISSN 0304-4149  [abs]
  144. 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, ISSN 0178-8051 [doi]  [abs]
  145. Brennan, MD; Durrett, R, Splitting intervals II: Limit laws for lengths, Probability Theory and Related Fields, vol. 75 no. 1 (1987), pp. 109-127, ISSN 0178-8051 [doi]  [abs]
  146. Chayes, JT; Chayes, L; Durrett, R, Inhomogeneous percolation problems and incipient infinite clusters, Journal of Physics A: Mathematical and General, vol. 20 no. 6 (1987), pp. 1521-1530, ISSN 0305-4470 [doi]  [abs]
  147. Chayes, JT; Chayes, L; Durrett, R, Critical behavior of the two-dimensional first passage time, Journal of Statistical Physics, vol. 45 no. 5-6 (1986), pp. 933-951, ISSN 0022-4715 [doi]  [abs]
  148. Durrett, R, Multidimensional random walks in random environments with subclassical limiting behavior, Communications in Mathematical Physics, vol. 104 no. 1 (1986), pp. 87-102, ISSN 0010-3616 [doi]  [abs]
  149. Durrett, R; Nguyen, B, Thermodynamic inequalities for percolation, Communications in Mathematical Physics, vol. 99 no. 2 (1985), pp. 253-269, ISSN 0010-3616 [doi]  [abs]
  150. Durrett, R, Some general results concerning the critical exponents of percolation processes, Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, vol. 69 no. 3 (1985), pp. 421-437, ISSN 0044-3719 [doi]  [abs]
  151. 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, ISSN 0044-3719 [doi]  [abs]
  152. Cox, JT; Durrett, R, Oriented percolation in dimensions d ≥ 4: bounds and asymptotic formulas, Cambridge Philosophical Society: Mathematical Proceedings, vol. 93 no. 01 (January, 1983), pp. 151-151 [doi]
  153. Durrett, R, Maxima of branching random walks, Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, vol. 62 no. 2 (1983), pp. 165-170, ISSN 0044-3719 [doi]  [abs]
  154. Chung, KL; Durrett, R; Zhao, Z, Extension of domains with finite gauge, Mathematische Annalen, vol. 264 no. 1 (1983), pp. 73-79, ISSN 0025-5831 [doi]
  155. Durrett, R; Griffeath, D, Contact processes in several dimensions, Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, vol. 59 no. 4 (1982), pp. 535-552, ISSN 0044-3719 [doi]
  156. Durrett, R, An introduction to infinite particle systems, Stochastic Processes and Their Applications, vol. 11 no. 2 (1981), pp. 109-150, ISSN 0304-4149 [doi]  [abs]
  157. 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, ISSN 0044-3719 [doi]  [abs]
  158. Durrett, R, Maxima of branching random walks vs. independent random walks, Stochastic Processes and Their Applications, vol. 9 no. 2 (1979), pp. 117-135, ISSN 0304-4149  [abs]
  159. 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]
  160. Durrett, R, The genealogy of critical branching processes, Stochastic Processes and Their Applications, vol. 8 no. 1 (1978), pp. 101-116, ISSN 0304-4149  [abs]
  161. Durrett, RT; Resnick, SI, Weak convergence with random indices, Stochastic Processes and Their Applications, vol. 5 no. 3 (1977), pp. 213-220, ISSN 0304-4149 [doi]  [abs]
  162. Chung, KL; Durrett, R, Downcrossings and local time, Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, vol. 35 no. 2 (1976), pp. 147-149, ISSN 0044-3719 [doi]
  163. Durrett, RT; Ghurye, SG, WAITING TIMES WITHOUT MEMORY., J Appl Probab, vol. 13 no. 1 (1976), pp. 65-75  [abs]

Papers Accepted

  1. 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]
  2. R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case, Annals Applied Probability (2013)
  3. Durrett, R; Chatterjee, S, Persistence of activity in random Boolean networks, Random Structures and Algorithms, vol. 39 (2011), pp. 228-246

Papers Submitted

  1. Aristotelous, AC; Durrett, R, Chemical evolutionary games., Theoretical Population Biology, vol. 93 (May, 2014), pp. 1-13, ISSN 0040-5809 [doi]  [abs]
  2. Durrett, R; Liggett, T; Zhang, Y, The contact process with fast voting, Electronic Journal of Probability, vol. 19 (2014) [doi]
  3. S. Magura, V. Pong, D. Sivakoff, and R. Durrett, Two evolving social network models (2013)
  4. R. Durrett, Phase transition in a meta-population version of Schelling's model (2012)
  5. R. Durrett, J. Foo, and K. Leder, Spatial Moran Models II. Tumor growth and progression (2012)

 

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