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, Submitted, 2014), pp. 1-13, ISSN 0040-5809 [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, Accepted, 2013), ISSN 1539-3755 [doi] - R. Durrett and S. Moseley,
*Spatial Moran Models. I. Tunneling in the Neutral Case*, Annals Applied Probability (Accepted, 2013) - 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 (2013), pp. paper 062819, ISSN 1539-3755 [doi] [abs] - Danesh, K; Durrett, R; Havrilesky, LJ; Myers, E,
*A branching process model of ovarian cancer.*, Journal of Theoretical Biology, vol. 314 (2013), pp. 10-15 [22959913], [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 USA, vol. 109 no. 10 (March, 2012), pp. 3682-3687 [22355142], [doi] [abs] - R. Durrett,
*Phase transition in a meta-population version of Schelling's model*(Submitted, 2012) - R. Durrett, J. Foo, and K. Leder,
*Spatial Moran Models II. Tumor growth and progression*(Submitted, 2012) - Durrett, R; Remenik, D,
*Evolution of dispersal distance*, Journal of Mathematical Biology, vol. 64 no. 4 (2012), pp. 657-666, ISSN 0303-6812 [doi] [abs] - Chatterjee, S; Durrett, R,
*Asymptotic behavior of Aldous' gossip process*, The annals of applied probability : an official journal of the Institute of Mathematical Statistics, vol. 21 no. 6 (2011), pp. 2447-2482, ISSN 1050-5164 [math.PR/1005.1608], [doi] [abs] - Durrett, R,
*Population genetics of neutral mutations in exponentially growing cancer cell populations*, Annals of Applied Probability, vol. 23 (2012), pp. 230-250 - Cox, JT; Durrett, R; Perkins, E,
*Voter model perturbations and reaction diffusion equations*, Asterique, vol. 349 (2013), pp. 1-113 [math.PR/1103.1676] - Durrett, R; Foo, J; Leder, K; Mayberry, J; Michor, F,
*Intratumor heterogeneity in evolutionary models of tumor progression*, Genetics, vol. 188 no. 2 (2011), pp. 461-477, ISSN 0016-6731 [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 (2010), pp. 42-48, ISSN 0040-5809 [doi] [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 (2010), pp. 54-66, ISSN 0040-5809 [math.PR/1003.1927], [doi] [abs] - Durrett, R,
*SPecial invited paper coexistence in stochastic spatial models*, The annals of applied probability : an official journal of the Institute of Mathematical Statistics, vol. 19 no. 2 (2009), pp. 477-496, ISSN 1050-5164 [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 (2008), pp. 1501-1509, ISSN 0016-6731 [doi] [abs]

- Aristotelous, AC; Durrett, R,