Publications of Richard T. Durrett

Books

  1. R. Durrett, Brownian Motion and Martingales in Analysis (1984), Wadsworth
  2. R. Durrett, Lecture Notes on Particle Systems and Percolation (1988), Wadsworth
  3. R. Durrett, Stochastic Calculus: A Practrical Introduction (1996), CRC Press
  4. R. Durrett, Essentials of Stochastic Processes (1998), Springer-Verlag
  5. R. Durrett, Probability Models of DNA Sequence Evolution, 2nd Edition (2006), Springer
  6. R. Durrett, Elementary Probability for Applications, 4th Edition (2009), pp. x+243, Cambridge University Press, Cambridge, ISBN 978-0-521-86756-6
  7. R. Durrett, Probability: Theory and Examples, 4th Edition (2010), Cambridge U Press
  8. R.T. Durrett, Branching process models of cancer (2015), Springer

Papers Published

  1. Durrett, RT; Ghurye, SG, WAITING TIMES WITHOUT MEMORY., J Appl Probab, vol. 13 no. 1 (January, 1976), pp. 65-75
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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)
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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)
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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
  36. 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
  37. 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
  38. 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
  39. 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
  40. Durrett, R; Griffeath, D, Asymptotic behavior of excitable cellular automata, Experimental Mathematics, vol. 2 no. 3 (January, 1993), pp. 183-208, Informa UK Limited
  41. 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
  42. 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
  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. 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
  45. 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
  46. 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
  47. 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
  48. 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
  49. 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
  50. Durrett, R; Levin, S, Allelopathy in spatially distributed populations, Journal of Theoretical Biology, vol. 185 no. 2 (March, 1997), pp. 165-171, Elsevier BV
  51. 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
  52. 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
  53. Durrett, R; Levin, S, Spatial aspects of interspecific competition., Theoretical population biology, vol. 53 no. 1 (February, 1998), pp. 30-43, ISSN 0040-5809
  54. 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
  55. Durrett, R, Stochastic spatial models, SIAM Review, vol. 41 no. 4 (January, 1999), pp. 677-718, Society for Industrial & Applied Mathematics (SIAM)
  56. 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
  57. 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
  58. 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)
  59. 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
  60. 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
  61. 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
  62. Durrett, R; Schinazi, RB, Boundary Modified Contact Processes, Journal of Theoretical Probability, vol. 13 no. 2 (January, 2000), pp. 575-594
  63. 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
  64. 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
  65. 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
  66. 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
  67. 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
  68. 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
  69. 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
  70. 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
  71. 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
  72. Diaconis, P; Durrett, R, Chutes and Ladders in Markov Chains, Journal of Theoretical Probability, vol. 14 no. 3 (December, 2001), pp. 899-926
  73. 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
  74. Durrett, R, Mutual invadability implies coexistence in spatial models, Memoirs of the American Mathematical Society no. 740 (January, 2002)
  75. 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
  76. 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
  77. Durrett, R, Mutual invadability implies coexistence in spatial models, Memoirs of the American Mathematical Society no. 740 (January, 2002)
  78. 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
  79. 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
  80. 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
  81. 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
  82. 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
  83. 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
  84. Durrett, R, Shuffling Chromosomes, Journal of Theoretical Probability, vol. 16 no. 3 (July, 2003), pp. 725-750, ISSN 0894-9840
  85. 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
  86. Durrett, R; Nielsen, R; York, TL, Bayesian estimation of genomic distance., Genetics, vol. 166 no. 1 (January, 2004), pp. 621-629
  87. Durrett, R; Schweinsberg, J, Approximating selective sweeps., Theoretical population biology, vol. 66 no. 2 (September, 2004), pp. 129-138
  88. 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
  89. 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
  90. 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
  91. R. Durrett, Genome rearrangement, in Statistical methods in molecular evolution, Stat. Biol. Health (2005), pp. 307--323, Springer, New York
  92. 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
  93. 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
  94. 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
  95. 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
  96. 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
  97. 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
  98. 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
  99. 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
  100. 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
  101. 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
  102. 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
  103. 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
  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
  105. 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
  106. Huerta-Sanchez, E; Durrett, R, Wagner's canalization model., Theoretical population biology, vol. 71 no. 2 (March, 2007), pp. 121-130, ISSN 0040-5809
  107. 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.)
  108. 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.)
  109. 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
  110. 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
  111. 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
  112. 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
  113. 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
  114. Chung, KL; Durrett, R, Downcrossings and local time, in Selected Works of Kai Lai Chung (January, 2008), pp. 585-587, World Scientific, ISBN 9789812833853
  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. 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
  117. 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
  118. 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
  119. 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
  120. 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
  121. 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
  122. 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
  123. 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
  124. 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
  125. 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
  126. 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
  127. 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
  128. 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
  129. 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
  130. 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
  131. 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
  132. Cox, JT; Durrett, R; Perkins, E, Voter model perturbations and reaction diffusion equations, Asterique, vol. 349 no. 349 (2011), pp. 1-127
  133. Durrett, R; Chatterjee, S, Persistence of activity in random Boolean networks, Random Structures and Algorithms, vol. 39 (2011), pp. 228-246
  134. 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
  135. 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
  136. 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
  137. 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
  138. 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
  139. 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
  140. Durrett, R; Remenik, D, Evolution of dispersal distance., Journal of mathematical biology, vol. 64 no. 4 (March, 2012), pp. 657-666, ISSN 0303-6812
  141. 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
  142. 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
  143. 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
  144. 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
  145. 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
  146. 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
  147. Durrett, R; Liggett, T; Zhang, Y, The contact process with fast voting, Electronic Journal of Probability, vol. 19 (March, 2014), Institute of Mathematical Statistics
  148. Aristotelous, AC; Durrett, R, Chemical evolutionary games., Theoretical population biology, vol. 93 (May, 2014), pp. 1-13, ISSN 0040-5809
  149. 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
  150. 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
  151. Durrett, R, Spatial evolutionary games with small selection coefficients, Electronic Journal of Probability, vol. 19 (December, 2014), Institute of Mathematical Statistics
  152. Magura, SR; Pong, VH; Durrett, R; Sivakoff, D, Two evolving social network models, Alea, vol. 12 no. 2 (January, 2015), pp. 699-715
  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. 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
  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. 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
  157. 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
  158. 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
  159. 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
  160. 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
  161. 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
  162. 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
  163. 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
  164. 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
  165. Gleeson, JP; Durrett, R, Temporal profiles of avalanches on networks., Nature communications, vol. 8 no. 1 (October, 2017), pp. 1227
  166. 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
  167. 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
  168. 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
  169. 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
  170. 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
  171. 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
  172. 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
  173. Wang, Z; Durrett, R, Extrapolating weak selection in evolutionary games., Journal of mathematical biology, vol. 78 no. 1-2 (January, 2019), pp. 135-154
  174. Huo, R; Durrett, R, The Zealot voter model, Annals of Applied Probability, vol. 29 no. 5 (January, 2019), pp. 3128-3154
  175. Huang, X; Durrett, R, The contact process on periodic trees, Electronic Communications in Probability, vol. 25 (January, 2020)
  176. Durrett, R; Junge, M; Tang, S, Coexistence in chase-escape, Electronic Communications in Probability, vol. 25 (January, 2020)
  177. 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
  178. Durrett, R; Yao, D, The symbiotic contact process, Electronic Journal of Probability, vol. 25 (January, 2020)
  179. 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
  180. 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
  181. Agarwal, P; Simper, M; Durrett, R, The q-voter model on the torus, Electronic Journal of Probability, vol. 26 (January, 2021)
  182. 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
  183. 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
  184. 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
  185. Durrett, R; Yao, D, Susceptible–infected epidemics on evolving graphs, Electronic Journal of Probability, vol. 27 (January, 2022), pp. 1-66
  186. 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
  187. 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
  188. Huang, X; Durrett, R, Corrigendum to: The contact process on periodic trees (Electronic Communications in Probability), Electronic Communications in Probability, vol. 28 (January, 2023)

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)