Publications

217. Zhuoqun Wang and Rick Durrett Extrapolating weak selection in evolutionary games

216. Rick Durrett Genealogies in Growing Solid Tumors

215. Tyler Lian and Rick Durrett. A new look at multi-stage models of cancer incidence.

214. Irina Cristali, Matthew Junge, and Rick Durrett. Poisson percolation on the square lattice. arXiv 1712.03403

213. Erin Beckman, Emily Dinan, Rick Durrett, Ran Huo, and Matthew Junge. Asymptotic behavior of the Brownian frog model. arXiv 1710.05811

212. Irina Cristali, Vinit Ranjan, Jake Steinberg, Erin Beckman, Rick Durrett, Matthew Junge, and James Nolen. Block sizes in two families of regenerative permutations. arXiv 1708.05626

211. Anirban Basak, Rick Durrett, and Eric Foxall Diffusion limit for the partner model at the critical value arXiv 1708.06954

210. Allison J. Lopatkin, Hannah R. Meredith, Jayddeep K. Srimani, Conner Pfeiffer, Rick Durrett, and Lingchon You. Persistence and reversal of plasmid-mediated antibiotic resistance. Nature Communications. 8, paper 1689, November 22, 2017

209. Cristan Tomasetti, Rick Durrett, Mare Kimmel, Amaury Lambert, Giovanni Parmigiani, Ann Zauber, and Bert Vogelstein. Role of stem-cell divisions in cancer risk. Nature 548 (2017), E13-15

208. Ruibo Ma and Rick Durrett A simple evolutionary game arising from the study of the role of IGF-II in pancreatic cancer

207. Mridu Nanda and Rick Durrett Spatial evolutionary games with weak selection Proceedings of the National Academy of Science. 114 (2017) , 6046-6051

206. James Gleeson and Rick Durrett Temporal profiles of avalanches on networks. Nature Communications. 8, paper 1227, October 31, 2017

205. Anne Talkington, Claudia Dantoin, and Rick Durrett ODE models of adoptive immunotherapy Bulletin mathematical Biology, Special Issue on mathematic Oncology, published online April 5, 2017

204. Anirban Basak, Rick Durrett, and Yuan Zhang. Evolving voter model on thick graphs.

203. Ran Huo and Rick Durrett Latent Voter Model on Locally Tree-Like Random Graphs. Stoch. Proc. Appl.to appear

202. Ted Cox and Rick Durret. Evolutionary games on the torus with weak selection. Stochastic Processes and their Applications, 126 (2016), 2388-2409

201. Rick Durrett and Wai-Tong (Louis) Fan. Genealogies in expanding populations. Annals Applied Probability. 16 (2016), 3456-3490

200. Marc Ryser, Evan Myers, and Rick Durrett HPV clearance and the neglected role of stochasticity. PLOS Computational Biology. 11, no 3, paper e1004113

199. Rick Durrett Branching Process Models of Cancer. Published by Springer

198. Anne Talkington and Rick Durrett. Estimating tumor growth rates in vivo. Bulletin Mathematical Biology. 77 (2015), 1934-1954

197. Chris Varghese and Rick Durrett. Evolving spatial networks to minimize length. J of Complex Networks. doi: 10.1093/comnet/cnu044

196. Andreas C. Aristotelous and Ric Durrett. Fingering in stochastic growth models. J. Experimental Math. Volume 23 (2014), Issue 4, pages 465-474

195. Rick Durrett Spatial evolutionary games with small selection coefficients. Electronic J. Probability. volume 19 (2014), paper 121

194. Rick Durrett and Yuan Zhang. Coexistence of Grass, Saplings and Trees in the Staver-Levin Forest Model. Annals of Applied Probability 25 (2015), 104-115

193. Masha Bessonov and Rick Durrett. Phase transitions for a planar quadratic contact process. Advances in Applied Math Accepted

192. Andreas C. Aristotelous and Rick Durrett. Chemical mediated coexistence. Theoretical Population Biology. 93 (2014), 1-13

191. Rick Durrett, Tom Liggett and Yuan Zhang. The contact process with fast voting. Electronic Journal of Probability. 18 (2014) paper 28

190. Rick Durrett, Jasmine Foo and Kevin Leder. Spatial Moran Models. II. Cancer inititaion in spatially structured tissue. Journal of Mathematical Biology 72 (2016), 1369-1400

189. Rick Durrett and Stephen Moseley. Spatial Moran Models. I. Tunneling in the Neutral Case Annals of Applied Probability. 25 (2014) , 104-115

188. Bill Shi, Peter Mucha, and Rick Durrett. Multi-opinion coevolving voter model with infinitely many phase transitions. Phys. Rev., E ., 88 (2013), paper 062818

187. Chris Varghese and Rick Durrett. Phase transition in the quadratic contact process on complex networks. Phys. Rev. E. 87 (2013), paper 062819

186. Sam Magura, Vitchyr Pong, David Sivakoff, and Rick Durrett. Two evolving social network models. ALEA. 12 (2015) ,issue 2, 699-715

185. Rick Durrett and Yuan Zhang. Phase transition in a meta-population version of Schelling's model. Proc. National Academy of Science. 111 (2014), 14036-14041

184. Shirshendu Chatterjee and Rick Durrett. A first order phase transition in the threshold θ ≥ 2 contact process on random r-regular graphs and r-trees. Stoch. Proc. Appl. 123 (2013), 561-578

183. Kaveh Danesh, Rick Durrett, Laura Havrilesky, and Evan Myers. A branching processs model of ovarian cancer. J. Theor. Biol. 314 (2012), 10-15

182. Rick Durrett, James Gleeson, Alun Lloyd, Peter Mucha, Feng Shi, David Sivakoff, Josh Socloar, and Chris Varghese. Graph fission in an evolving voter model. Proc. Nat'l. Acad. Sci. 109 (2012), 3682-3687

181. Rick Durrett Population genetics of neutral mutations in exponentially growing cancer cell populations. Ann. Appl. Probab. 23 (2012), 230-250

180. Rick Durrett and Daniel Remenik. Evolution of dispersal distance. Journal of Mathematical Biology 64 (2012), 657-666

179. Ted Cox, Rick Durrett, and Ed Perkins. Voter model perturbations and reaction diffusion equations. Asterique. Volume 349, (113 pages). Also available at arXiv:1103.1676

178. Rick Durrett, Jasmine Foo, Kevin Leder, John Mayberry, and Franziska Michor. Intratumor heterogeneity in evolutionary models of tumor progression. Genetics, 188 (2011), 461-477

177. Shirshendu Chatterjee and Rick Durrett. Asymptotic Behavior of Aldous' Gossip Process. Ann. Appl. Probab. 21 (2011), 2447-2482

176.Rick Durrett Some Features of the Spread of Epidemics and Opinions on a Random Graph. Inaugural Article. Proc. Natl. Acad. Sci. 107 (2010), 4491-4498

175. Rick Durrett, Jasmine Foo, Kevin Leder, John Mayberry, and Franziska Michor Evolutionary dynamics of tumor progression with random fitness values. Theor. Pop. Biol. 78 (2011), 54-66

174. Rick Durrett and John Mayberry. Traveling waves of selective sweeps. Ann. Appl. Prob. 21 (2011), 699-744

173. Rick Durrett and Daniel Remenik. Brunet-Derrida particle systems, free boundary problems and Weiner-Hopf equations. Ann. Prob. 39 (2011), 2043-2078

172. Rick Durrett and Stephen Moseley. Evolution of resistance and progression to disease during clonal expansion of cancer. Theor. Pop. Biol. 77 (2010), 42-48

171. Shirhsendu Chatterjee and Rick Durrett. Persistence of activity in the threshold contact process, an annealed approximation of random Boolean networks. Rand. Struct. Alg. 39 (2011), 228-246

170. Rick Durrett, John Mayberry. Evolution in predator-prey systems. Stoch. Proc. Appl. 120 (2010), 1364-1392

169. Feinan Wu, Nancy T. Eanetta, Yimin Xu, Richard Durrett, Michael Mazourek, Molly Jahn, and Steven D. Tanksley. A High Density COSII Map of the Pepper Genome Provides a Detailed Picture of Synteny with Tomato and New Insights into Recent Chromosome Evolution in the Genus Capsicum. Theoretical and Applied Genetics. 118 (2009), 1279--1293

168. Rick Durrett Coexistence in Stochastic Spatial Models. (Wald Lecture Paper). Ann. Appl. Prob. 19 (2009), 477-496

167. Rick Durrett and Daniel Remenik. Chaos in a Spatial Epidemic Model Ann. Appl. Prob. 19 (2009), 1656-1685

166. Shirsendu Chatterjee and Rick Durrett Contact processes on random graphs with power law degree distributions have critical value 0. Ann. Prob. 37 (2009), 2332-2356

165. Ben Chan, Rick Durrett, and Nicolas Lanchier Coexistence in a particle system with seasons Ann. Appl. Prob. 19 (2009), 1921-1943

164. Riuck Durrett, Deena Schmidt Waiting for two mutations: with applications to regulatory sequence evolution and the limits of Darwinian evolution. Genetics 180 (2008), 1501--1509

163. Rick Durrett, Deena Schmidt, and Jason Schweinsberg. A waiting time problem arising from the study of multi-stage carcinogenesis. Ann. Appl. Prob. 19 (2009), 676-718

162. With Lea Popovic. Degenerate diffusions arising from gene duplication models. Ann. Appl. Prob. 19 (2009), 15-48

161. With Emilia Huerta-Sanchez and Carlos Bustamante. Population genetics of polymorphism and divergence under fluctuating selection. Genetics. 178 (2008), 325-337

160. With Raazesh Sainudiin and Andy Clark. Simple models of genomic variation in human SNP density. BioMedCentral Genomics. (2007) 8: 146

159. With Tom York and Rasmus Nielsen. Dependence of paracentric inversion rate on tract length. BioMedCentral Bioinformatics (2007) 8:115

158. With Nicolas Lanchier. Coexistence in host-pathogen systems Stochastic Processes Appl. 118 (2008), 1004-1021

157. With Nathanael Berestycki. Limiting behavior of the distance of a random walk. Electronic J. Prob. 13, (2008), 374-395

156. With Arkendra De. Spatial structure of the human population contributes to the slow decay of linkage disequilibrium and shifts the site frequency spectrum. Genetics 176 (2007), 969-981

155. With Mateo Restrepo. One dimensional stepping stone models, sardine genetics, and Brownian local time. Ann. Appl. Prob. 18 (2008), 334-358

154. With Deena Schmidt. Waiting for regulatory sequences to appear. Ann. Appl. Prob. 17 (2007), 1-32

153. With Yannet Interian. Genomic midpoints: computation and evolutionary implications. Unpublished

152. With Iljana Zahle. On the width of hybrid zones. Stoch. Proc. Appl. 117 (2007), 1751-1763

151. With Benjamin Chan. A new coexistence result for competing contact processes. Ann. Appl. Prob. 16 (2006), 1155-1165

150. With Thomas L. York, Steven Tanksley and Rasmus Nielsen. Bayesian and maximum likelihood estimation of genetic maps. Genetical Research 85, 159-168

149. With Emilia Huerta-Sanchez. Wagner's canalization model. Theor. Pop. Biol., 71 (2007), 121-130

148. With Paul Jung. Two phase transitions for contact processes on small worlds Stoch. Processes Appl. 117 (2007), 1910-1927

147. With J. Schweinsberg. A coalescent model for the effect of advantageous mutations on the genealogy of a population. Stoch. Proc. Appl. 115 (2005), 1628-1657

146. With Leonid Mytnik, and Ed Perkins. Competing super-Brownian motions as limits of interacting particle systems. Electronic Journal of Probability. 10 (2005), 1147-1220

145. With Jason Schweinsberg. Power laws for family sizes in a gene duplication model. Annals of Probability 33 (2006), 2094-2126

144. With Deena Schmidt. Adaptive evolution drives the diversification of zinc-finger binding dowmains. Mol. Biol. Evol. 21 (2004), 2326-2339

143. With Jonah Blasiak. Random Oxford graphs. Stoch. Processes Appl. 115 (2005), 1257--1278

142. With Nathanael Berestycki. A phase transition in the random transposition random walk. Prob. Theory. Rel. Fields. 136 (2006), 203-233

141. With Rachel Ward. Subfunctionalization: How often does it occur? How long does it take? Theor. Pop. Biol., 66 (2004), 93--100

140. Genome Rearrangement. In Statistical Methods in Molecular Evolution. Edited by R. Nielsen. Springer-Verlag

139. With Raazesh Sainudiin, Chip Aquadro, and Rasmus Nielsen. Microsatellite models: Insights from a comparison of humans and chimpanzees. Genetics. 168 (2004), 383--395

138. With Simon Levin. Can stable groups be maintained by homophilous imitation alone? Journal of Economic Behavior and Organization. 57 (2005), 267--278

137. With Rasmus Nielsen, and Tom York. Bayesian estimation of genomic distance. Genetics 166 (2004), 621--629

136. Rigorous results for the CHKNS random graph model CHKNS random graph model. Proceedings of Discrete Random Walks 2003.

135. With Jason Schweinsberg. Random partitions approximating the coalescence of lineages during a selective sweep. Ann. Appl. Probab. 15 (2005), 1591--1651

134. With Jason Schweinsberg. Approximating selective sweeps. Theor. Pop. Biol. 66 (2004), 129--138

133. With Iljana Zahle and Ted Cox. The stepping stone model, II. Genealogies and the infinite sites model. Ann. Appl. Probab. 15 (2005), 671--699

132. With L. Buttel, and R. Harrison. Genetic structure of mosaic hybrid zones. Unpublished.

131. With P. Calabrese. Dinucleotide repeats in the Drosophila and human genomes have complex length dependent mutation processes. Mol. Biol. Evol. 20 (2003), 715--725

130. With N. Sundell and E.G. Cooch. Dynamics of a two patch herbivory system: Herbivore enhancement, adaptive behavior, and trophic cascades. Unpublished.

129. With T. York and R. Nielsen. Bayesian estimation of the number of inversions in the history of two chromosomes. J. Comp. Bio. 9 (2002), 805--818

128. Shuffling chromosomes. J. Theoretical Prob. 16 (2003), 725--750

127. With V. Limic. Rigorous results for the NK model. Ann. Prob. 31 (2003), 1713--1753

126. With V. Limic. A surprising Poisson process arising from a species competition model. Stoch. Proc. Appl. 102 (2002), 301--309

125. With J.T. Cox. The stepping stone model: New formulas expose old myths. Ann. Appl. Prob. 12, 1348--1377

124. With K.Y. Chen and S.D. Tanksley. A simple formula useful for positional cloning. Genetics. 160 (2002), 353--355

123. With H. Kesten, and V. Limic. Once edge-reinforced random walk on a tree. Prob. Th. Rel. Fields. 122 (2002), 567--592

122. With A. De, M. Ferguson, and S. Sindi. The equilibrium distribution for a generalized Sankoff-Ferretti model accurately predicts chromosome size distributions in a wide variety of species. J. Appl. Prob. 38 (2001), 324--334

121. With N. Sundell. Exponential distance statistics to detect the effects of population subdivision. Theor. Pop. Biol. 60 (2001), 107--116

120. Probability theory: an introduction to its applications. Pages 393--405 in Mathematics Unlimited 2001 and Beyond, Springer-Verlag New York

119. With P. Diaconis. Chutes and ladders in Markov chains. J. Theor. Prob. 14 (2001), 899--926

118. With P. Calabrese and C.F. Aquadro. Dynamics of microsatellite divergence under stepwise mutation and proportional slippage / point mutation models. Genetics. 159 (2001), 839--852

117. With V. Limic. On the quantity and quality of single nucleotide polymorphisms in the human genome. Stoch. Proc. Appl. 93 (2001), 1--24

116. With L.A. Buttel and S.A. Levin. Competition and species packing in patchy environments. Theor. Pop. Biol.,61 (2002), 265-276

115. With S. Kruglyak, M. Schug, and C.F. Aquadro. Distribution and abundance of microsatellites in the yeast genome can be explained by a balance between slippage events and point mutations. Mol. Biol. Evol. 17 (2000), 1210--1219

114. Mutual invadability implies coexistence in spatial models. Memoirs of the AMS. Volume 156 (2002), Number 740

113. With T.J. Vision, D.G. Brown, D.B. Shmoys, and S.D. Tanksley. Selective mapping: a strategy for optimizing the construction of high-density linkage maps. Genetics. 155 (2000), 407--420

112. With Simon Levin. Lessons on pattern formation from planet WATOR. J. Theor. Biol. 205 (2000), 201--214

111. Harry Kesten's publications: A personal perspective. Page 1--25 in Perplexing Problems in Probability: Festschrift in Honor of Harry Kesten, edited by M. Bramson and R. Durrett, Birkhauser

110. With R.E. Broughton and S.E. Stanley. Quantification of homoplasy for nucleotide transitions and transversions and a reexamination of assumptions in weighted phylogenetic analysis. Systematic Biology. 49 (2000), 617--627

109. Stochastic Spatial Models. SIAM Review. 41 (1999), 677--718
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108. With Ted Cox and Ed Perkins. Rescaled particle systems converging to super-Brownian motion. Pages 269--284 in Perplexing Problems in Probability: Festschrift in Honor of Harry Kesten, edited by M. Bramson and R. Durrett, Birkhauser

107. With Ted Cox and Ed Perkins. Rescaled voter models converge to super-Brownian motion. Ann. Prob. 28 (2000), 185--234

106. With Rinaldo Schinazi. Boundary modified contact processes. J. Theoretical Prob. 13 (2000), 575--594

105. With Ed Perkins. Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Prob. Theor. Rel. Fields. 114 (1999), 309--399

104. With J. Molofsky, J. Dushoff, D. Griffeath, and S. Levin. Local frequency dependence and global coexistence. Theoret. Pop. Biol., 55 (1999), 270--282

103. With S. Kruglyak, M. Schug, and C. Aquadro. Equilibrium distributions of microsatellite repeat length resulting from a balance between slippage events and point mutations. Proc. Nat. Acad. Sci., USA. 95 (1998), 10774--10778

102. With S. Kruglyak. A new stochastic model of microsatellite evolution. J. Appl. Prob. 36 (1999), 621--631

101. Stochastic Spatial Models. Pages 39--94 in Mathematics Inspired by Biology. Springer Lecture Notes in Math 1714.

100. With B. Granovsky and S. Gueron. The equilibrium behavior of reversible coagulation-fragmentation processes. J. Theoret. Prob. 12 (1999), 447--474

99. With M. Bramson and J.T. Cox. A spatial model for the abundance of species. Ann. Probab. 26 (1998), 658--709

98. With L. Buttel and R. Harrison. Spatial models for hybrid zones. Heredity. 84 (2000), 9--19

97. Stochastic Spatial Models. Pages 1--48 in Probability Theory and Applications Lecture Notes of Park City Mathematics Institute, American Math. Society.

96. With S. Levin. Spatial aspects of interspecific competition. Theoret. Pop. Biol. 53 (1998), 30--43

95. With S. Levin. From individuals to epidemics. Phil. Trans. Roy. Soc., B. 351 (1996), 1615--1621

94. With Y.C. Liu and M.G. Milgroom. A spatially structured stochastic model to simulate heterogeneous transmission of viruses in a fungal population. Ecological Modelling. 127 (2000), 291--308

93. With Z.Q. Chen and Gang Ma. Holomorphic diffusions and boundary behavior of harmonic functions. Ann. Prob. 25 (1997), 1103--1134

92. With C. Neuhauser. Coexistence results for some competition models. Ann. Appl. Probab., 7 (1997), 10-45

91. With H. Allouba, J. Hawkes, and E. Perkins. Super-tree random measures. J. Theoretical Prob. 10 (1997), 773--794

90. With S. Levin. Allelopathy in spatially distributed populations. J. Theor. Biol. 185 (1997), 165-172

89. With. M. Bramson and J.T. Cox. Spatial models for species-area curves. Ann. Prob. 24 (1996), 1727-1751

88. With S. Levin. Spatial models for species-area curves. J. Theor. Biol. 179 (1996), 119-127

87. With J.T. Cox. Hybrid zones and voter model interfaces. Bernoulli. 1 (1995), 343-370

86. With R. Schinazi. Intermediate phase for contact processes on trees. Ann. Prob. 23 (1995), 668-673

85. Ten Lectures on Particle Systems. Pages 97-201 in St. Flour Lecture Notes. Lecture Notes in Math 1608. (1995). Springer-Verlag, New York

84. With G. Swindle. Coexistence results for catalysts. Prob. Th. Rel. Fields. 98 (1994), 489-515

83. Spatial epidemic models. Pages 187-201 in Epidemic Models: Their Structure and Relation to Data. (1995) Edited by Denis Mollison. Cambridge U. Press

82. With S. Levin. The importance of being discrete (and spatial). Theoret. Pop. Biol. 46 (1994), 363-394

81. With S. Levin. Stochastic spatial models: A user's guide to ecological applications. Phil. Trans. Roy. Soc., B. 343 (1994), 329-350

80. With R. Schinazi. Asymptotic critical value for a competition model. Ann. Applied. Prob. 3 (1993), 1047-1066

79. With D. Griffeath. Asymptotic behavior of excitable cellular automata. J. Experimental Math.} 2 (1993), 183-206

78. Stochastic models of growth and competition. Pages 176-183 in Patch Dynamics. (1993) Edited by S. Levin, T. Powell, and J. Steele. Lecture Notes in Biomathematics, 96. Springer, New York

77. With C. Neuhauser. Particle systems and reaction diffusion equations. Ann. Prob. 22 (1994), 289-333

76. With L. Buttel and J.T. Cox. Estimating the critical values of stochastic growth models. J. Appl. Prob. 30 (1993), 455-461

75. Some new games for your computer. Nonlinear Science Today. 1 (1993), No.4, 1-6
Or pages Topics in Contemporary Probability. edited by J. Laurie Snell

74. With J. Steif. Fixation results for threshold voter models. Ann. Probab. 21 (1993), 232-247

73. With L.C.G. Rogers. Asymptotic behavior of Brownian polymers. Prob. Theor. Rel. Fields 92 (1992), 337-349

72. Predator-prey systems. Pages 37-58 in Asymptotic problems in probability theory: stochastic models and diffusions on fractals. (1992) Edited by K.D. Elworthy and N. Ikeda. Pitman Research Notes 283. Longman, Essex, England

71. Stochastic growth models: bounds on critical values. J. Appl. Prob. 29 (1992), 11-20

70. Multicolor particle systems with large threshold and range. J. Theoretical Prob. 5 (1992), 127-152

69. Stochastic models of growth and competition. Pages 1049-1056 in Proceedings of the International Congress of Math. Kyoto, Springer-Verlag, New York

68. With J.T. Cox, Nonlinear voter models. Pages 189-202 in Random Walks, Brownian Motion, and Interacting Particle Systems. (1991) Edited by R. Durrett and H. Kesten. Birkhauser, Boston

67. With C. Neuhauser. Epidemics with recovery in d=2. Ann. Appl. Prob. 1, (1991), 189-206

66. With J. Steif. Some rigorous results for the Greenberg-Hastings model. J. Theoretical. Prob. 4 (1991), 669-690

65. With A. Moller. Complete convergence theorem for a competition model. Prob. Th. Rel. Fields. 88 (1991), 121-136

64. With H. Kesten and G. Lawler, Making money from fair games. Pages 235-268 in Random Walks, Brownian Motion, and Interacting Particle Systems. (1991) Edited by R. Durrett and H. Kesten. Birkhauser, Boston

63. With J.T. Cox and R. Schinazi, The critical contact process seen from the right edge. Prob. Th. Rel. Field. 87 (1991), 325-332

62. With H. Kesten, and E. Waymire. On weighted heights of random trees. J. Theoretical Prob. 4 (1991), 223-237

61. With M. Bramson and R.H. Schonmann. The contact process in a random environment. Ann. Probab. 19 (1991), 960-983

60. The contact process: 1974-1989. Pages 1-18 in Mathematics of Random Media (1992). Edited by W.E. Kohler and B.S. White. American Math. Society

59. With M. Bramson and W.D. Ding. Annihilating branching processes. Stoch. Proc. Appl. 37 (1991), 1-17

58. With Chen Jin-wen and Liu Xiu-fang. Exponential convergence for one dimensional contact processes. Acta Math. Sinica. 6 (1990), 349-353

57. A new method for proving the existence of phase transitions. Pages 141-170 in Spatial Stochastic Processes. Edited by K.S. Alexander and J.C. Watkins. Birkhauser, Boston

56. With H. Kesten. The critical parameter for connectedness of some random graphs. Pages 161-176 in A Tribute to P. Erd\"os. Edited by A. Baker, B. Bollobas, and A. Hajnal. Cambridge U. Press

55. With G. Swindle. Are there bushes in a forest? Stoch. Proc. Appl. 37 (1991), 19-31

54. With W.D. Ding and T.M. Liggett. Ergodicity of reversible reaction diffusion processes. Prob. Th. Rel. Fields. 85 (1990), 13-26

53. With J.T. Cox. Large deviations for independent random walks. Prob. Th. Rel. Fields. 84 (1990), 67-82

52. With N.I. Tanaka. Scaling inequalities for oriented percolation. J. Stat. Phys. 55 (1989), 981-995

51. With R.H. Schonmann, and N.I. Tanaka. Correlation lengths for oriented percolation. J. Stat. Phys. 55 (1989), 965-979

50. With R.H. Schonmann, and N.I. Tanaka. The contact process on a finite set. III. Ann. Prob. 17 (1989), 1303-1321

49. With M. Bramson. A simple proof of the stability criterion of Gray and Griffeath. Prob. Th. Rel. Fields. 80 (1988), 293-298

48. Stochastic growth models: recent results and open problems. Pages 308-312 in Proceedings of the International Symposium in Mathematical Approaches to Ecological and Environmental Problem Solving. Edited by C. Castillo-Chavez, S. Levin, and C. Shoemaker. Lecture Notes in Biomathematics, 81. Springer-Verlag, New York

47. With M. Bramson. Random walk in random environment: A counter-example? Comm. Math. Phys. 119 (1988), 199-211

46. With L. Gray. Some peculiar properties of a particle system with sexual reproduction. Unpublished maunuscript

45. With M. Bramson and G. Swindle. Statistical mechanics of crabgrass. Ann. Prob. 17 (1989), 444-481

44. With J.T. Cox. Limit theorems for the spread of epidemics and forest fires. Stoch. Proc. Appl. 30 (1988), 171-191

43. With R. H. Schonmann. Large deviations for the contact process and two dimensional percolation. Prob. Th. Rel. Field. 77 (1988), 583-603

42. With R. H. Schonmann. The contact process on a finite set, II. Ann. Prob. 16 (1988), 1570-1583

41. Crabgrass, measles and gypsy moths: An introduction to modern probability. Bull. AMS 18 (1988), 117-143

40. Crabgrass, measles and gypsy moths: an introduction to interacting particle systems. Math. Intelligencer. 10 (1988), No. 2, 37-47

39. With Liu Xiu-fang. The contact process on a finite set. Ann Prob. 16 (1988), 1158-1173

38. With J. T. Chayes and L. Chayes. Connectivity properties of Mandelbrot's percolation process. Prob. Th. Rel. Field. 77 (1988), 307-324

37. With J. T. Chayes and L. Chayes. Critical behavior of two dimensional first passage times. J. Stat. Phys. 45 (1986), 933-951

36. With J. T. Chayes and L. Chayes. Inhomogeneous percolation problems and incipient infinite clusters. J. Phys. A 20 (1987), 1521-1530

35. With M.D. Brennan. Splitting intervals, II: limit laws for lengths. Prob. Th. Rel. Fields. 75 (1987), 109-127

34. With R. H. Schonmann. Stochastic growth models. in Percolation Theory and the Ergodic Theory of Infinite Particle Systems. Edited by H. Kesten. IMA Volume 8, Springer Verlag.

33. Multidimensional RWRE with subclassical limiting behavior. in Random Media. Edited by G. Papanicolaou. IMA Volumes in Math and its Appl., Vol.7. Springer, New York

32. Multidimensional RWRE with subclassical limiting behavior. Comm. Math. Phys. 104 (1986), 87-102

31. Stochastic growth models: Ten problems for the 80's (and 90's). in Particle Systems, Random Media and Large Deviations. Edited by R. Durrett. AMS Contemporary Math., Vol. 41

30. Some peculiar properties of a particle system with sexual reproduction. in Stochastic Spatial Processes. Edited by P. Tautu. Lecture Notes in Math 1212, Springer, New York

29. Reversible diffusion processes. Ch. 6 in Probability and Harmonic Analysis. Edited by J. Chao and W. Woyczynski. Marcel Dekker.

28. With B. Nguyen Thermodynamic inequalities for percolation. Comm. Math. Phys. 99 (1985), 253-269

27. On the unboundedness of martingale transforms. Pages 27-36 in Seminaire de. Prob. XIX. Springer Lecture Notes 1123

26. Some general results concerning the critical exponents of percolation processes. Z. fur Wahr. 69 (1985), 421-437

25. With K. L. Chung and Z. Zhao, Extension of domains with finite gauge. Mathematische Annalen. 264 (1983), 73-79

24. With T. Liggett, Fixed points of the smoothing transformation. Z. fur Wahr. 64 (1983), 275-301

23. Oriented percolation in two dimensions. Special Invited Paper. Ann. Prob. 12 (1984), 999-1040

22. With T. Cox. Oriented percolation in dimensions. d ≥ 4 Bounds and asymptotic formulas. P. Camb. Phil. Soc. 93 (1983), 151-162

21. With D. Griffeath. Supercritical contact processes on Z. Ann. Prob. 11 (1983), 1-15

20. With D. Griffeath. Contact processes in several dimensions. Z. fur Wahr. 53 (1982), 535-552

19. With M. Brennan. Splitting intervals. Ann. Prob. 14 (1986), 1024-1036

18. A new proof of Spitzer's result on the winding of two dimension Brownian motion. Ann. Prob. 10 (1982), 244-246

17. An introduction to infinite particle systems. Stoch. Proc. Appl. 11 (1981), 109-150

16. With T. Liggett. The shape of the limit set in Richardson's model. Ann. Prob. 9 (1980), 186-193

15. With J.T. Cox. Some limit theorems for percolation processes with necessary and sufficient conditions. Ann. Prob. 9 (1981), 583-603

14. On the growth of one dimensional contact processes. Ann. Prob. 8 (1980), 890-907

13. On the shape of a random string. Ann. Prob. 7 (1979), 1014-1027

12. Maxima of branching random walks. Z. fur Wahr. 62 (1983), 165-170

11. Maxima of branching random walks vs. independent random walks. Stoch. Proc. Appl. 9 (1979), 117-135

10. Conditioned limit theorems for random walks with negative drift. Z. fur Wahr. 52 (1980), 277-287

9. The genealogy of critical branching processes. Stoch. Proc. Appl. 8 (1978), 101-116

8. An infinite particle system with additive interactions. Adv. Appl. Prob. 11 (1979), 335-383

7. With S. I. Resnick. Functional limit theorems for dependent variables. Ann. Prob. 6 (1978), 829-846

6. Conditional limit theorems for some null recurrent Markov processes. Ann. Prob. 6 (1978), 798-828. Ph.D. Thesis

5. With S. I. Resnick. Weak convergence with random indices. Stoch. Proc. Appl. 5 (1977), 213-220

4. With D. L. Iglehart. Functionals of Brownian meander and Brownian excursion. Ann. Prob. 5 (1977), 130-135

3. With D. L. Iglehart and D. R. Miller. Weak convergence to Brownian meander and Brownian excursion. Ann. Prob. 5 (1977), 117-129

2. With K. L. Chung. Downcrossings and local time. Z. fur Wahr. 35 (1976), 147-149

1. With S. G. Ghurye. Waiting times without memory. J. Appl. Probability. 13 (1976), 65-75