Math @ Duke

Research Interests for Richard T. Durrett
Research Interests:
Probability problems that arise from genetics and ecology, especially stochastic spatial models and cancer models. Random graphs and processes that take place on them.  Keywords:
 Mathematical Concepts, Models, Biological, Models, Statistical, Models, Theoretical, Population Dynamics, Probability
 Representative Publications
 Aristotelous, AC; Durrett, R, Chemical evolutionary games.,
Theoretical Population Biology, vol. 93
(May, 2014),
pp. 113, ISSN 00405809 [doi] [abs]
 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 15393755 [doi] [abs]
 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 15393755 [doi] [abs]
 R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case,
Annals Applied Probability
(Accepted, 2013)
 Danesh, K; Durrett, R; Havrilesky, LJ; Myers, E, A branching process model of ovarian cancer.,
J Theor Biol, vol. 314
(December, 2012),
pp. 1015 [22959913], [doi] [abs]
 Durrett, R; Remenik, D, Evolution of dispersal distance.,
Journal of Mathematical Biology, vol. 64 no. 4
(March, 2012),
pp. 657666, ISSN 03036812 [doi] [abs]
 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. 36823687 [22355142], [doi] [abs]
 R. Durrett, Phase transition in a metapopulation version of Schelling's model
(Submitted, 2012)
 R. Durrett, J. Foo, and K. Leder, Spatial Moran Models II. Tumor growth and progression
(Submitted, 2012)
 Chatterjee, S; Durrett, R, Asymptotic behavior of Aldous' gossip process,
The Annals of Applied Probability, vol. 21 no. 6
(December, 2011),
pp. 24472482, Institute of Mathematical Statistics, ISSN 10505164 [math.PR/1005.1608], [doi] [abs]
 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. 461477, ISSN 00166731 [doi] [abs]
 Durrett, R, Population genetics of neutral mutations in exponentially growing cancer cell populations,
Annals of Applied Probability, vol. 23 no. 1
(2011),
pp. 230250, Institute of Mathematical Statistics [doi] [abs]
 Cox, JT; Durrett, R; Perkins, E, Voter model perturbations and reaction diffusion equations,
Asterique, vol. 349 no. 349
(2011),
pp. 1127 [math.PR/1103.1676] [abs]
 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. 5466, ISSN 00405809 [math.PR/1003.1927], [doi] [abs]
 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. 4248, ISSN 00405809 [doi] [abs]
 Durrett, R, SPecial invited paper coexistence in stochastic spatial models,
The Annals of Applied Probability, vol. 19 no. 2
(April, 2009),
pp. 477496, Institute of Mathematical Statistics, ISSN 10505164 [MR2521876 (2010g:60213)], [doi] [abs]
 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. 15011509, ISSN 00166731 [doi] [abs]


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