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

Books

  1. R.T. Durrett, Branching process models of cancer (2015), Springer
  2. R. Durrett, Brownian Motion and Martingales in Analysis (1984), Wadsworth
  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. R. Durrett, Essentials of Stochastic Processes (1998), Springer-Verlag
  5. R. Durrett, Lecture Notes on Particle Systems and Percolation (1988), Wadsworth
  6. R. Durrett, Probability Models of DNA Sequence Evolution, 2nd Edition (2006), Springer
  7. R. Durrett, Probability: Theory and Examples, 4th Edition (2010), Cambridge U Press
  8. 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]
  9. R. Durrett, Stochastic Calculus: A Practrical Introduction (1996), CRC Press

Papers Published

  1. 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]
  2. 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]
  3. 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]
  4. 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, Elsevier BV [doi]
  5. 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]
  6. 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]
  7. 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]
  8. 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]
  9. 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]
  10. 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]
  11. 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]
  12. 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]
  13. 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]
  14. 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]
  15. 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]
  16. 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]
  17. 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]
  18. 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]
  19. 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]
  20. 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]
  21. Durrett, R; Schweinsberg, J, Approximating selective sweeps, Theoretical Population Biology, vol. 66 no. 2 (2004), pp. 129-138 [doi]  [abs]
  22. 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]
  23. 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]
  24. 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]
  25. 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]
  26. 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]
  27. 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]
  28. Durrett, R; Nielsen, R; York, TL, Bayesian Estimation of Genomic Distance, Genetics, vol. 166 no. 1 (2004), pp. 621-629 [doi]  [abs]
  29. 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]
  30. 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]
  31. Durrett, R; Schinazi, RB, Boundary Modified Contact Processes, Journal of Theoretical Probability, vol. 13 no. 2 (2000), pp. 575-594  [abs]
  32. 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]
  33. 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]
  34. 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]
  35. Durrett, R; Remenik, D, Chaos in a spatial epidemic model, The Annals of Applied Probability, vol. 19 no. 4 (2009), pp. 1656-1685, Institute of Mathematical Statistics, ISSN 1050-5164 [MR2010k:60322], [doi]  [abs]
  36. Diaconis, P; Durrett, R, Chutes and Ladders in Markov Chains, Journal of Theoretical Probability, vol. 14 no. 3 (2001), pp. 899-926 [doi]  [abs]
  37. 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]
  38. 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]
  39. 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]
  40. 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]
  41. 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]
  42. 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]
  43. 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]
  44. 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]
  45. 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]
  46. 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]
  47. 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]
  48. 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]
  49. 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]
  50. 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]
  51. 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]
  52. 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]
  53. 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]
  54. 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]
  55. Durrett, R; Popovic, L, Degenerate diffusions arising from gene duplication models, The Annals of Applied Probability, vol. 19 no. 1 (2009), pp. 15-48, Institute of Mathematical Statistics, ISSN 1050-5164 [MR2521876 (2010g:60213)], [doi]  [abs]
  56. York, TL; Durrett, R; Nielsen, R, Dependence of paracentric inversion rate on tract length., Bmc Bioinformatics, vol. 8 (2007), pp. 115, ISSN 1471-2105 (paper 115.) [doi]  [abs]
  57. 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]
  58. 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]
  59. 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]
  60. 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]
  61. 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]
  62. 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]
  63. 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]
  64. 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]
  65. 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]
  66. Durrett, R; Levin, S, ERRATUM, Theoretical Population Biology, vol. 53 no. 3 (June, 1998), pp. 284-284, Elsevier BV [doi]
  67. 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
  68. 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]
  69. 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]
  70. 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]
  71. 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]
  72. 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]
  73. 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]
  74. 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]
  75. 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]
  76. 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]
  77. 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]
  78. 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]
  79. 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]
  80. 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]
  81. 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]
  82. R. Durrett, Genome rearrangement, in Statistical methods in molecular evolution, Stat. Biol. Health (2005), pp. 307--323, Springer, New York [MR2161835 (2006f:92021)]
  83. 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]
  84. 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]
  85. 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]
  86. 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]
  87. 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]
  88. 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]
  89. 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]
  90. 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]
  91. 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]
  92. 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]
  93. 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]
  94. 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]
  95. 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]
  96. 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]
  97. 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]
  98. 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]
  99. 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]
  100. 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]
  101. Durrett, R, Mutual invadability implies coexistence in spatial models, Memoirs of the American Mathematical Society no. 740 (2002)  [abs]
  102. 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]
  103. 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]
  104. 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]
  105. 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]
  106. 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]
  107. 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]
  108. 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]
  109. 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]
  110. 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]
  111. 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]
  112. 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, WILEY, ISSN 1042-9832 [MR2850270], [doi]  [abs]
  113. 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]
  114. 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]
  115. Cristali, I; Junge, M; Durrett, R, Poisson percolation on the oriented square lattice, Stochastic Processes and Their Applications (January, 2019) [doi]  [abs]
  116. 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, Institute of Mathematical Statistics [doi]  [abs]
  117. 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]
  118. 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]
  119. 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]
  120. 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]
  121. 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]
  122. 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]
  123. 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]
  124. 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]
  125. 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]
  126. 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]
  127. 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]
  128. 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]
  129. 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]
  130. Durrett, R, Shuffling Chromosomes, Journal of Theoretical Probability, vol. 16 no. 3 (2003), pp. 725-750, ISSN 0894-9840 [doi]  [abs]
  131. 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]
  132. 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]
  133. 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]
  134. 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]
  135. 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]
  136. Durrett, R, Spatial evolutionary games with small selection coefficients, Electronic Journal of Probability, vol. 19 (December, 2014), Institute of Mathematical Statistics [doi]  [abs]
  137. 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]
  138. 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]
  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. 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]
  141. 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]
  142. 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]
  143. 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]
  144. 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]
  145. 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]
  146. 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]
  147. Durrett, R, Stochastic spatial models, Siam Review, vol. 41 no. 4 (January, 1999), pp. 677-718, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  148. 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]
  149. 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]
  150. 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]
  151. Gleeson, JP; Durrett, R, Temporal profiles of avalanches on networks., Nature Communications, vol. 8 no. 1 (October, 2017), pp. 1227 [doi]  [abs]
  152. 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]
  153. 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]
  154. 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]
  155. 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]
  156. 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]
  157. 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]
  158. 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]
  159. 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]
  160. 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]
  161. Magura, SR; Pong, VH; Durrett, R; Sivakoff, D, Two evolving social network models, Alea, vol. 12 no. 2 (January, 2015), pp. 699-715  [abs]
  162. 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]
  163. Cox, JT; Durrett, R; Perkins, E, Voter model perturbations and reaction diffusion equations, Asterique, vol. 349 (2013), pp. 1-113 [math.PR/1103.1676]
  164. 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]
  165. 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]
  166. 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]
  167. Durrett, RT; Ghurye, SG, WAITING TIMES WITHOUT MEMORY., J Appl Probab, vol. 13 no. 1 (1976), pp. 65-75  [abs]
  168. 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]

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

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. R. Durrett, Phase transition in a meta-population version of Schelling's model (2012)
  3. R. Durrett, J. Foo, and K. Leder, Spatial Moran Models II. Tumor growth and progression (2012)
  4. 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]
  5. S. Magura, V. Pong, D. Sivakoff, and R. Durrett, Two evolving social network models (2013)

 

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