238. Rick Durrett Triple birthday matches in the Senate: Lies, damned lies and chatGPT.
237. Braden Hoagland and Rick Durrett Critical behavior of two-choice rules: a class of Achlioptas processes.
236. Laura Boyle, Sofia Hletko, Jenny Huang, June Lee, Gaurav Pallod, Hwai-Ray Tung, Rick Durrett Selective sweeps in SARS-CoV-2 variant competition Proceedings of the National Academy of Science. 119, issue 47
235. Hwai-ray Tung and Rick Durrett Competitive exclusion in a model with seasonality: three species cannot coexist in an ecosystem with two seasons Theoretical Population Biology. 140, 40-45
234. Hwai-ray Tung and Rick Durrett Signatures of neutral evolution in exponentially growing tumors: A theoretical perspective published 11 Feb 2021 in PLOS Computational Biology
233. Zoe Huang and Rick Durrett A stochastic spatial model for the sterile insect control strategy. Stoch. Proc. Appl., to appear
232. Molly Borowiak, Fayfay Ning, Justin Pei, Sarah Zhao, Hwai-Ray Tung, and Rick Durrett Controlling the spread of COVID-19 on college campuses Mathematical Biosciences and Engineering, Volume 18 Issue 1, 551-563
231. David Aldous, Pietro Caputo, Rick Durrett, Alexander Holroyd, Paul Jung, Amber Puha The life and mathematical legacy of Thomas M. Liggett Notices of the American Math Society, vol. 68 issue 1 (2021), pp. 67--79
230. Pooja Agarwal, Mackenzie Simper, and Rick Durrett The q-voter model on the torus Electron J. Probab. 26 (2021), DOI: 10.1214/21-EJP682
229. Zoe Huang and Rick Durrett Motion by mean curvature in interacting particle systems. Probability Theory Rel. Fields 181, 489-532
228. Dong Yao and Rick Durrett Susceptible-Infected Epidemics on Evolving Graphs Electron. J. Probab. 27 (2022) paper 110
227. Zoe Huang and Rick Durrett The Contact Process on Periodic Trees Electronic. Commun. in Prob. 25 (2020), paper 24
226. Rick Durrett and Dong Yao The symbiotic contact process Electronic J. Probability.25 (2020), paper 4
225. Zoe Huang and Rick Durrett The Contact Process on Random Graphs and Galton-Watson Trees ALEA 17 (2020), Issue 1, 159 -
224. Yufeng Jiang, Remy Kasssem, Grayson York, Matthew Junge, and Rick Durrett SIR epidemics on evolving graphs
223. Mridu Nanda and Rick Durrett Genotype patterns in growing solid tumors.
222. Rick Durrett and Ruibo Ma A heterogeneous spatial model in which savanna and forest coexist in a stable equilibrium.
221. Rick Durrett, Matt Junge, and Si Tang Coexistence in chase-escape Electronic Communications in Probability. 25 (2020), paper 22
220. Irina Cristali, Matthew Junge, Rick Durrett. Poisson percolation on the oriented square lattice. Stoch. Proc. Appl.130 (2020), 488-502
219. Yufeng Jiang, Remy Kassem, Grayson York, Brandon Zhao, Xiangying Huang, Matthew Junge, and Rick Durrett The contact process on periodic trees.
218. Ran Huo and Rick Durrett The zealot voter model Annals of Applied Probability, 29 (2019), 3127-3154
217. Zhuoqun Wang and Rick Durrett Extrapolating weak selection in evolutionary games Journal of Mathematical Biology 78 (2019), 135-154
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. ALEA volume 16 (2019), 429-437
213. Erin Beckman, Emily Dinan, Rick Durrett, Ran Huo, and Matthew Junge. Asymptotic behavior of the Brownian frog model. Electronic J. Probability. 23 (2018) paper 104
212. Irina Cristali, Vinit Ranjan, Jake Steinberg, Erin Beckman, Rick Durrett, Matthew Junge, and James Nolen. Block sizes in Geometric(p)-biased permutations. Electronic Communications Probability 23 (2018), paper 80
211. Anirban Basak, Rick Durrett, and Eric Foxall Diffusion limit for the partner model at the critical value. Electronic J. Probability. 23 (2018) paper 102
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 Ann. Appl. Probab. 28 (2018), 2896-2921
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. 128 (2018), 1590-1614
202. Ted Cox and Rick Durrett. 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 87 (2017), 82-107
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 copy
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
Figures numbers are not correct.
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),
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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
scan of preprint from 1983 9MB
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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