Publications of Richard T. Durrett

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
  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. 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., J Theor Biol, vol. 314 (December, 2012), pp. 10-15
  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
  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. Theoretische und angewandte Genetik, vol. 118 no. 7 (May, 2009), pp. 1279-1293, ISSN 0040-5752
  4. Durrett, R; Chatterjee, S, A first order phase transition in the threshold theta contact process on random r-regular graphs and trees, Stoch. Proc. Appl., vol. 123 no. 2 (2012), pp. 561-578, Elsevier BV
  5. Chan, B; Durrett, R, A new coexistence result for competing contact processes, Annals of Applied Probability, vol. 16 no. 3 (August, 2006), pp. 1155-1165, Institute of Mathematical Statistics, ISSN 1050-5164
  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
  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)
  8. Berestycki, N; Durrett, R, A phase transition in the random transposition random walk, Probability Theory and Related Fields, vol. 136 no. 2 (January, 2006), pp. 203-233, Springer Nature, ISSN 0178-8051
  9. Ma, R; Durrett, R, A simple evolutionary game arising from the study of the role of igf-II in pancreatic cancer, Annals of Applied Probability, vol. 28 no. 5 (October, 2018), pp. 2896-2921, Institute of Mathematical Statistics
  10. Durrett, RT; Chen, K-Y; Tanksley, SD, A simple formula useful for positional cloning., Genetics, vol. 160 no. 1 (January, 2002), pp. 353-355, ISSN 0016-6731
  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
  12. Bramson, M; Cox, JT; Durrett, R, A spatial model for the abundance of species, Annals of Probability, vol. 26 no. 2 (January, 1998), pp. 658-709, Institute of Mathematical Statistics
  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
  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
  15. Durrett, R; Schmidt, D; Schweinsberg, J, A waiting time problem arising from the study of multi-stage carcinogenesis, Annals of Applied Probability, vol. 19 no. 2 (April, 2009), pp. 676-718, Institute of Mathematical Statistics, ISSN 1050-5164
  16. Schmidt, D; Durrett, R, Adaptive evolution drives the diversification of zinc-finger binding domains., Molecular biology and evolution, vol. 21 no. 12 (December, 2004), pp. 2326-2339
  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
  18. Durrett, R, An introduction to infinite particle systems, Stochastic Processes and their Applications, vol. 11 no. 2 (January, 1981), pp. 109-150, Elsevier BV, ISSN 0304-4149
  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
  20. Mode, CJ; Durrett, R; Klebaner, F; Olofsson, P, Applications of stochastic processes in biology and medicine, International Journal of Stochastic Analysis, vol. 2013 (April, 2013), pp. 1-2, Hindawi Limited, ISSN 2090-3332
  21. Durrett, R; Schweinsberg, J, Approximating selective sweeps., Theoretical population biology, vol. 66 no. 2 (September, 2004), pp. 129-138
  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
  23. Chatterjee, S; Durrett, R, Asymptotic behavior of Aldous' gossip process, Annals of Applied Probability, vol. 21 no. 6 (December, 2011), pp. 2447-2482, Institute of Mathematical Statistics, ISSN 1050-5164
  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
  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
  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
  27. York, TL; Durrett, RT; Tanksley, S; Nielsen, R, Bayesian and maximum likelihood estimation of genetic maps., Genetical research, vol. 85 no. 2 (April, 2005), pp. 159-168
  28. Durrett, R; Nielsen, R; York, TL, Bayesian estimation of genomic distance., Genetics, vol. 166 no. 1 (January, 2004), pp. 621-629
  29. York, TL; Durrett, R; Nielsen, R, Bayesian estimation of the number of inversions in the history of two chromosomes., Journal of computational biology : a journal of computational molecular cell biology, vol. 9 no. 6 (January, 2002), pp. 805-818
  30. Nolen, JH; Cristali, I; Ranjan, V; Steinberg, J; Beckman, E; Durrett, R; Junge, M, Block size in Geometric(p)-biased permutations, Electronic Communications in Probability, vol. 23 (2018), pp. 1-10, Institute of Mathematical Statistics
  31. Durrett, R; Schinazi, RB, Boundary Modified Contact Processes, Journal of Theoretical Probability, vol. 13 no. 2 (January, 2000), pp. 575-594
  32. Durrett, R; Remenik, D, Brunet-derrida particle systems, free boundary problems and wiener-hopf equations, Annals of Probability, vol. 39 no. 6 (January, 2011), pp. 2043-2078, Institute of Mathematical Statistics, ISSN 0091-1798
  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
  34. Durrett, R, Cancer modeling: A personal perspective, Notices of the American Mathematical Society, vol. 60 no. 3 (March, 2013), pp. 304-309, American Mathematical Society (AMS), ISSN 0002-9920
  35. Durrett, R; Remenik, D, Chaos in a spatial epidemic model, Annals of Applied Probability, vol. 19 no. 4 (August, 2009), pp. 1656-1685, Institute of Mathematical Statistics, ISSN 1050-5164
  36. Aristotelous, AC; Durrett, R, Chemical evolutionary games., Theoretical population biology, vol. 93 (May, 2014), pp. 1-13, ISSN 0040-5809
  37. Diaconis, P; Durrett, R, Chutes and Ladders in Markov Chains, Journal of Theoretical Probability, vol. 14 no. 3 (December, 2001), pp. 899-926
  38. Chan, B; Durrett, R; Lanchier, N, Coexistence for a multitype contact process with seasons, Annals of Applied Probability, vol. 19 no. 5 (October, 2009), pp. 1921-1943, Institute of Mathematical Statistics, ISSN 1050-5164
  39. 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
  40. Durrett, R; Junge, M; Tang, S, Coexistence in chase-escape, Electronic Communications in Probability, vol. 25 (January, 2020)
  41. 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
  42. Durrett, R; Zhang, Y, Coexistence of grass, saplings and trees in the Staver-Levin forest model, Annals of Applied Probability, vol. 25 no. 6 (December, 2015), pp. 3434-3464, Institute of Mathematical Statistics, ISSN 1050-5164
  43. 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
  44. Durrett, R; Neuhauser, C, Coexistence results for some competition models, Annals of Applied Probability, vol. 7 no. 1 (January, 1997), pp. 10-45, Institute of Mathematical Statistics
  45. Durrett, R; Mytnik, L; Perkins, E, Competing super-brownian motions as limits of interacting particle systems, Electronic Journal of Probability, vol. 10 (January, 2005), pp. 1147-1220, Institute of Mathematical Statistics, ISSN 1083-6489
  46. Buttel, LA; Durrett, R; Levin, SA, Competition and species packing in patchy environments., Theoretical population biology, vol. 61 no. 3 (May, 2002), pp. 265-276
  47. Tung, H-R; Durrett, R, Competitive exclusion in a model with seasonality: Three species cannot coexist in an ecosystem with two seasons., Theoretical population biology, vol. 148 (December, 2022), pp. 40-45
  48. Durrett, R; Møller, 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
  49. Durrett, R, Conditioned limit theorems for random walks with negative drift, Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol. 52 no. 3 (January, 1980), pp. 277-287, Springer Nature, ISSN 0044-3719
  50. 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
  51. 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
  52. Chatterjee, S; Durrett, R, Contact processes on random graphs with power law degree distributions have critical value 0, Annals of Probability, vol. 37 no. 6 (November, 2009), pp. 2332-2356, Institute of Mathematical Statistics, ISSN 0091-1798
  53. Borowiak, M; Ning, F; Pei, J; Zhao, S; Tung, H-R; Durrett, R, Controlling the spread of COVID-19 on college campuses., Mathematical biosciences and engineering : MBE, vol. 18 no. 1 (December, 2020), pp. 551-563
  54. 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
  55. Huang, X; Durrett, R, Corrigendum to: The contact process on periodic trees (Electronic Communications in Probability), Electronic Communications in Probability, vol. 28 (January, 2023)
  56. Durrett, R, Crabgrass, measles, and gypsy moths: An introduction to interacting particle systems, The Mathematical Intelligencer, vol. 10 no. 2 (June, 1988), pp. 37-47, Springer Nature, ISSN 0343-6993
  57. Durrett, R, Crabgrass, measles, and gypsy moths: An introduction to modern probability, Bulletin of the American Mathematical Society, vol. 18 no. 2 (January, 1988), pp. 117-143, American Mathematical Society (AMS)
  58. 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
  59. Durrett, R; Popovic, L, Degenerate diffusions arising from gene duplication models, Annals of Applied Probability, vol. 19 no. 1 (February, 2009), pp. 15-48, Institute of Mathematical Statistics, ISSN 1050-5164
  60. 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.)
  61. 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
  62. 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 (May, 2003), pp. 715-725
  63. 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
  64. 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
  65. Chung, KL; Durrett, R, Downcrossings and local time, in Selected Works of Kai Lai Chung (January, 2008), pp. 585-587, World Scientific, ISBN 9789812833853
  66. 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
  67. 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
  68. 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
  69. Ding, WD; 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
  70. 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 (January, 1998), pp. 284, Elsevier BV
  71. Cox, T; Durrett, R, Erratum: The stepping stone model: New formulas expose old myths (The Annals of Applied Probability (2002) 12 (1348-1377)), Annals of Applied Probability, vol. 13 no. 2 (May, 2003), pp. 816, ISSN 1050-5164
  72. 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
  73. 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
  74. Durrett, R; Remenik, D, Evolution of dispersal distance., Journal of mathematical biology, vol. 64 no. 4 (March, 2012), pp. 657-666, ISSN 0303-6812
  75. 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
  76. Durrett, R; Foo, J; Leder, K; Mayberry, J; Michor, F, Evolutionary dynamics of tumor progression with random fitness values., Theoretical population biology, vol. 78 no. 1 (August, 2010), pp. 54-66, ISSN 0040-5809
  77. Cox, JT; Durrett, R, Evolutionary games on the torus with weak selection, Stochastic Processes and their Applications, vol. 126 no. 8 (December, 2015), pp. 2388-2409, Elsevier BV
  78. 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
  79. Jinwen, C; Durrett, R; Xiufang, L, Exponential convergence for one dimensional contact processes, Acta Mathematica Sinica, vol. 6 no. 4 (December, 1990), pp. 349-353, Springer Nature, ISSN 1439-8516
  80. Sundell, NM; Durrett, RT, Exponential distance statistics to detect the effects of population subdivision., Theoretical population biology, vol. 60 no. 2 (September, 2001), pp. 107-116, ISSN 0040-5809
  81. 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
  82. Wang, Z; Durrett, R, Extrapolating weak selection in evolutionary games., Journal of mathematical biology, vol. 78 no. 1-2 (January, 2019), pp. 135-154
  83. 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
  84. 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
  85. Durrett, R; Fan, WTL, Genealogies in expanding populations, Annals of Applied Probability, vol. 26 no. 6 (December, 2016), pp. 3456-3490, Institute of Mathematical Statistics
  86. R. Durrett, Genome rearrangement, in Statistical methods in molecular evolution, Stat. Biol. Health (2005), pp. 307--323, Springer, New York
  87. Durrett, R; Gleeson, JP; Lloyd, AL; Mucha, PJ; Shi, F; Sivakoff, D; Socolar, JES; Varghese, C, Graph fission in an evolving voter model., Proceedings of the National Academy of Sciences of the United States of America, vol. 109 no. 10 (March, 2012), pp. 3682-3687
  88. Chen, ZQ; Durrett, R; Ma, G, Holomorphic diffusions and boundary behavior of harmonic functions, Annals of Probability, vol. 25 no. 3 (January, 1997), pp. 1103-1134, Institute of Mathematical Statistics
  89. Ryser, MD; Myers, ER; Durrett, R, HPV clearance and the neglected role of stochasticity., PLoS Comput Biol, vol. 11 no. 3 (March, 2015), pp. e1004113, Public Library of Science, ISSN 1553-734X
  90. Cox, JT; Durrett, R, Hybrid zones and voter model interfaces, Bernoulli, vol. 1 no. 4 (January, 1995), pp. 343-370, Bernoulli Society for Mathematical Statistics and Probability
  91. Chayes, JT; Chayes, L; Durrett, R, Inhomogeneous percolation problems and incipient infinite clusters, Journal of Physics A: Mathematical and General, vol. 20 no. 6 (December, 1987), pp. 1521-1530, IOP Publishing, ISSN 0305-4470
  92. 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
  93. 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
  94. Durrett, R; Schonmann, RH, Large deviations for the contact process and two dimensional percolation, Probability Theory and Related Fields, vol. 77 no. 4 (December, 1988), pp. 583-603, Springer Nature, ISSN 0178-8051
  95. 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
  96. Durrett, R; Levin, S, Lessons on pattern formation from planet WATOR., Journal of theoretical biology, vol. 205 no. 2 (July, 2000), pp. 201-214, ISSN 0022-5193
  97. Cox, JT; Durrett, R, Limit theorems for the spread of epidemics and forest fires, Stochastic Processes and their Applications, vol. 30 no. 2 (January, 1988), pp. 171-191, Elsevier BV, ISSN 0304-4149
  98. 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
  99. 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
  100. Durrett, RT, Mathematical modeling in ecology, genetics and cancer research, in The Art And Practice Of Mathematics: Interviews At The Institute For Mathematical Sciences, National University Of Singapore, 2010-2020 (June, 2021), pp. 74-82, ISBN 9789811219580
  101. 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
  102. Durrett, R, Maxima of branching random walks vs. independent random walks, Stochastic Processes and their Applications, vol. 9 no. 2 (January, 1979), pp. 117-135, Elsevier BV, ISSN 0304-4149
  103. Sainudiin, R; Durrett, RT; Aquadro, CF; Nielsen, R, Microsatellite mutation models: insights from a comparison of humans and chimpanzees., Genetics, vol. 168 no. 1 (September, 2004), pp. 383-395
  104. Huang, X; Durrett, R, Motion by mean curvature in interacting particle systems, Probability Theory and Related Fields, vol. 181 no. 1-3 (November, 2021), pp. 489-532
  105. 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
  106. 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
  107. Shi, F; Mucha, PJ; Durrett, R, Multiopinion coevolving voter model with infinitely many phase transitions., Physical review. E, Statistical, nonlinear, and soft matter physics, vol. 88 no. 6 (December, 2013), pp. 062818, ISSN 1539-3755
  108. Durrett, R, Mutual invadability implies coexistence in spatial models, Memoirs of the American Mathematical Society no. 740 (January, 2002)
  109. Durrett, R, Mutual invadability implies coexistence in spatial models, Memoirs of the American Mathematical Society no. 740 (January, 2002)
  110. 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
  111. 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
  112. 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
  113. 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
  114. 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
  115. Durrett, R; Restrepo, M, One-dimensional stepping stone models, sardine genetics and Brownian local time, Annals of Applied Probability, vol. 18 no. 1 (February, 2008), pp. 334-358, Institute of Mathematical Statistics, ISSN 1050-5164
  116. 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
  117. Cox, JT; Durrett, R, Oriented Percolation in Dimensions D ≥ 4: Bounds and Asymptotic Formulas, Mathematical Proceedings of the Cambridge Philosophical Society, vol. 93 no. 1 (January, 1983), pp. 151-162, Cambridge University Press (CUP)
  118. Ryser, MD; Worni, M; Turner, EL; Marks, JR; Durrett, R; Hwang, ES, Outcomes of Active Surveillance for Ductal Carcinoma in Situ: A Computational Risk Analysis., J Natl Cancer Inst, vol. 108 no. 5 (May, 2016), pp. djv372
  119. 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
  120. Durrett, R; Chatterjee, S, Persistence of activity in random Boolean networks, Random Structures and Algorithms, vol. 39 (2011), pp. 228-246
  121. Chatterjee, S; Durrett, R, Persistence of activity in threshold contact processes, an "Annealed approximation" of random Boolean networks, Random Structures and Algorithms, vol. 39 no. 2 (September, 2011), pp. 228-246, WILEY, ISSN 1042-9832
  122. 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
  123. 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
  124. Cristali, I; Junge, M; Durrett, R, Poisson percolation on the oriented square lattice, Stochastic Processes and their Applications, vol. 130 no. 2 (February, 2020), pp. 488-502
  125. Durrett, R, Population genetics of neutral mutations in exponentially growing cancer cell populations, Annals of Applied Probability, vol. 23 no. 1 (2011), pp. 230-250, Institute of Mathematical Statistics
  126. Huerta-Sanchez, E; Durrett, R; Bustamante, CD, Population genetics of polymorphism and divergence under fluctuating selection., Genetics, vol. 178 no. 1 (January, 2008), pp. 325-337, ISSN 0016-6731
  127. Durrett, R; Schweinsberg, J, Power laws for family sizes in a duplication model, Annals of Probability, vol. 33 no. 6 (November, 2005), pp. 2094-2126, Institute of Mathematical Statistics, ISSN 0091-1798
  128. Broughton, RE; Stanley, SE; Durrett, RT, Quantification of homoplasy for nucleotide transitions and transversions and a reexamination of assumptions in weighted phylogenetic analysis., Systematic biology, vol. 49 no. 4 (December, 2000), pp. 617-627
  129. 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
  130. 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
  131. Schweinsberg, J; Durrett, R, Random partitions approximating the coalescence of lineages during a selective sweep, Annals of Applied Probability, vol. 15 no. 3 (August, 2005), pp. 1591-1651, Institute of Mathematical Statistics, ISSN 1050-5164
  132. 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
  133. 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
  134. 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 (January, 1999), pp. 309-399, Springer Nature
  135. Cox, JT; Durrett, R; Perkins, EA, Rescaled voter models converge to super-Brownian motion, Annals of Probability, vol. 28 no. 1 (January, 2000), pp. 185-234, Institute of Mathematical Statistics
  136. Durrett, R; Limic, V, Rigorous results for the NK model, Annals of Probability, vol. 31 no. 4 (October, 2003), pp. 1713-1753, Institute of Mathematical Statistics, ISSN 0091-1798
  137. 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
  138. 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
  139. 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
  140. Boyle, L; Hletko, S; Huang, J; Lee, J; Pallod, G; Tung, H-R; Durrett, R, Selective sweeps in SARS-CoV-2 variant competition., Proceedings of the National Academy of Sciences of the United States of America, vol. 119 no. 47 (November, 2022), pp. e2213879119
  141. Durrett, R, Shuffling Chromosomes, Journal of Theoretical Probability, vol. 16 no. 3 (July, 2003), pp. 725-750, ISSN 0894-9840
  142. Tung, H-R; Durrett, R, Signatures of neutral evolution in exponentially growing tumors: A theoretical perspective., PLoS computational biology, vol. 17 no. 2 (February, 2021), pp. e1008701
  143. Sainudiin, R; Clark, AG; Durrett, RT, Simple models of genomic variation in human SNP density., BMC genomics, vol. 8 (June, 2007), pp. 146, ISSN 1471-2164 (paper 146.)
  144. 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
  145. 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
  146. 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
  147. Durrett, R; Levin, S, Spatial aspects of interspecific competition., Theoretical population biology, vol. 53 no. 1 (February, 1998), pp. 30-43, ISSN 0040-5809
  148. Durrett, R, Spatial evolutionary games with small selection coefficients, Electronic Journal of Probability, vol. 19 (December, 2014), Institute of Mathematical Statistics
  149. 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
  150. Durrett, R; Buttel, L; Harrison, R, Spatial models for hybrid zones., Heredity, vol. 84 ( Pt 1) no. 1 (January, 2000), pp. 9-19, ISSN 0018-067X
  151. Bramson, M; Cox, JT; Durrett, R, Spatial models for species area curves, Annals of Probability, vol. 24 no. 4 (January, 1996), pp. 1727-1751, Institute of Mathematical Statistics
  152. 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
  153. Durrett, R; Moseley, S, Spatial moran models I. Stochastic tunneling in the neutral case, Annals of Applied Probability, vol. 25 no. 1 (February, 2015), pp. 104-115, Institute of Mathematical Statistics, ISSN 1050-5164
  154. 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
  155. 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)
  156. 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
  157. Durrett, R, SPecial invited paper coexistence in stochastic spatial models, Annals of Applied Probability, vol. 19 no. 2 (April, 2009), pp. 477-496, Institute of Mathematical Statistics, ISSN 1050-5164
  158. 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
  159. 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 (June, 2007), pp. 969-981, ISSN 0016-6731
  160. Durrett, R, Stochastic spatial models, SIAM Review, vol. 41 no. 4 (January, 1999), pp. 677-718, Society for Industrial & Applied Mathematics (SIAM)
  161. Durrett, R; Levin, SA, Stochastic spatial models: A user's guide to ecological applications, Philosophical Transactions of the Royal Society B: Biological Sciences, vol. 343 no. 1305 (January, 1994), pp. 329-350, The Royal Society, ISSN 0962-8436
  162. Ward, R; Durrett, R, Subfunctionalization: How often does it occur? How long does it take?, Theoretical population biology, vol. 66 no. 2 (September, 2004), pp. 93-100
  163. Allouba, H; Durrett, R; Hawkes, J; Perkins, E, Super-Tree Random Measures, Journal of Theoretical Probability, vol. 10 no. 3 (January, 1997), pp. 773-794
  164. Durrett, R; Yao, D, Susceptible–infected epidemics on evolving graphs, Electronic Journal of Probability, vol. 27 (January, 2022), pp. 1-66
  165. Gleeson, JP; Durrett, R, Temporal profiles of avalanches on networks., Nature communications, vol. 8 no. 1 (October, 2017), pp. 1227
  166. Huang, X; Durrett, R, The contact process on periodic trees, Electronic Communications in Probability, vol. 25 (January, 2020)
  167. Huang, X; Durrett, R, The contact process on random graphs and Galton Watson trees, Alea (Rio de Janeiro), vol. 17 no. 1 (January, 2020), pp. 159-182
  168. Durrett, R; Liggett, T; Zhang, Y, The contact process with fast voting, Electronic Journal of Probability, vol. 19 (March, 2014), Institute of Mathematical Statistics
  169. 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
  170. 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
  171. 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 (January, 2001), pp. 324-334, Cambridge University Press (CUP), ISSN 0021-9002
  172. Durrett, R, The genealogy of critical branching processes, Stochastic Processes and their Applications, vol. 8 no. 1 (January, 1978), pp. 101-116, Elsevier BV, ISSN 0304-4149
  173. 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
  174. Agarwal, P; Simper, M; Durrett, R, The q-voter model on the torus, Electronic Journal of Probability, vol. 26 (January, 2021)
  175. Zähle, I; Cox, JT; Durrett, R, The stepping stone model. II: Genealogies and the infinite sites model, Annals of Applied Probability, vol. 15 no. 1 B (February, 2005), pp. 671-699, Institute of Mathematical Statistics, ISSN 1050-5164
  176. Cox, JT; Durrett, R, The stepping stone model: New formulas expose old myths, Annals of Applied Probability, vol. 12 no. 4 (November, 2002), pp. 1348-1377, Institute of Mathematical Statistics
  177. Durrett, R; Yao, D, The symbiotic contact process, Electronic Journal of Probability, vol. 25 (January, 2020)
  178. Huo, R; Durrett, R, The Zealot voter model, Annals of Applied Probability, vol. 29 no. 5 (January, 2019), pp. 3128-3154
  179. 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
  180. Durrett, R; Mayberry, J, Traveling waves of selective sweeps, Annals of Applied Probability, vol. 21 no. 2 (April, 2011), pp. 699-744, Institute of Mathematical Statistics, ISSN 1050-5164
  181. Magura, SR; Pong, VH; Durrett, R; Sivakoff, D, Two evolving social network models, Alea, vol. 12 no. 2 (January, 2015), pp. 699-715
  182. 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
  183. Cox, JT; Durrett, R; Perkins, E, Voter model perturbations and reaction diffusion equations, Asterique, vol. 349 no. 349 (2011), pp. 1-127
  184. Huerta-Sanchez, E; Durrett, R, Wagner's canalization model., Theoretical population biology, vol. 71 no. 2 (March, 2007), pp. 121-130, ISSN 0040-5809
  185. Durrett, R; Schmidt, D, Waiting for regulatory sequences to appear, Annals of Applied Probability, vol. 17 no. 1 (February, 2007), pp. 1-32, Institute of Mathematical Statistics, ISSN 1050-5164
  186. Durrett, R; Schmidt, D, Waiting for two mutations: with applications to regulatory sequence evolution and the limits of Darwinian evolution., Genetics, vol. 180 no. 3 (November, 2008), pp. 1501-1509, ISSN 0016-6731
  187. Durrett, RT; Ghurye, SG, WAITING TIMES WITHOUT MEMORY., J Appl Probab, vol. 13 no. 1 (January, 1976), pp. 65-75
  188. 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

Papers Accepted

  1. R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case, Annals Applied Probability (2013)

Papers Submitted

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