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Durrett, Rick
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Positions
- Adjunct Professor, Mathematics (MATH), College of Arts and Sciences
Research Areas
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Affiliations
Research
research overview
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- Stochastic spatial models in ecology
- Evolutionary dynamics of DNA repeat sequences
- Stochastic methods for studying the evolution of genomes due to large-scale processes: inversions within chromosomes, translocations between chromosomes, chromosomal fissions and fusions, and gene duplication
- Influence of spatial structure on genealogies
- Random graphs
Publications
individual publications
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academic article
- Simple models of genomic variation in human SNP diversity. BMC Genomics. 8:146. 2007
- Microsatellite mutation models:Insights from a comparison of humans and chimpanzees. Genetics. 168:383-395. 2004
- Dynamics of microsatellite divergence under stepwise mutation and proportional slippage/point mutation models. Genetics. 159:839-852. 2001
- Equilibrium distributions of microsatellite repeat length resulting from a balance between slippage events and point mutations. Proceedings at the National Academy of Science USA. 95:10774-10778. 1998
selected publications listing
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168. Coexistence in Stochastic Spatial Models.
(Wald Lecture Paper).
167. With Daniel Remenik. Chaos in a Spatial Epidemic Model
166. With Shirsendu Chatterjee Contact processes on random graphs with power law degree distributions have critical value 0.
165. With Ben Chan and Nicolas Lanchier Coexistence in a particle system with seasons
164. With Deena Schmidt Waiting for two mutations: with applications to regulatory sequence evolution and the limits of Darwinian evolution.
163. With Deena Schmidt, and Jason Schweinsberg. A waiting time problem arising from the study of multi-stage carcinogenesis. Ann. Appl. Prob.
162. With Lea Popovic. Degenerate diffusions arising from gene duplication models. Ann. Appl. Prob.
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
157. With Nathanael Berestycki. Limiting behavior of the distance of a random walk. Electronic J. Prob. 13, (2008), 374-
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.
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
featured in archived article
speaker at Cornell event
Teaching
teaching activities
- MATH-4900: Supervised Research - Spring 2013
- MATH-7900: Supervised Reading and Research - Spring 2013
- MATH-4900: Supervised Research - Fall 2012
- MATH-7900: Supervised Reading and Research - Fall 2012
- MATH-4900: Supervised Research - Spring 2012
- MATH-7900: Supervised Reading and Research - Spring 2012
- MATH-4900: Supervised Research - Fall 2011
- MATH-7900: Supervised Reading and Research - Fall 2011
Service
compiles listings
Background
educational background
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- Ph.D., Stanford University, 1976
awards and distinctions listing
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- Member, National Academy of Sciences, 2007
- Member, National Academy of Sciences, 2007