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.

Mathematical Concepts, Models, Biological, Models, Statistical, Models, Theoretical, Population Dynamics, Probability
Representative Publications
  1. Aristotelous, AC; Durrett, R, Chemical evolutionary games., Theoretical Population Biology, vol. 93 (May, Submitted, 2014), pp. 1-13, ISSN 0040-5809 [doi[abs]
  2. 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]
  3. Durrett, R, Population genetics of neutral mutations in exponentially growing cancer cell populations, The Annals of Applied Probability, vol. 23 no. 1 (2012), pp. 230-250 [doi]
  4. R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case, Annals Applied Probability (Accepted, 2013)
  5. 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]
  6. 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]
  7. Durrett, R; Gleeson, JP; Lloyd, AL; Mucha, PJ; Shi, F; Sivakoff, D; Socolar, JES; Varghese, C, Graph fission in an evolving voter model., Proc Natl Acad Sci U S A, vol. 109 no. 10 (March, 2012), pp. 3682-3687 [22355142], [doi[abs]
  8. R. Durrett, Phase transition in a meta-population version of Schelling's model (Submitted, 2012)
  9. R. Durrett, J. Foo, and K. Leder, Spatial Moran Models II. Tumor growth and progression (Submitted, 2012)
  10. 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]
  11. 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]
  12. Chatterjee, S; Durrett, R, Asymptotic behavior of Aldous' gossip process, The Annals of Applied Probability, vol. 21 no. 6 (2011), pp. 2447-2482, ISSN 1050-5164 [math.PR/1005.1608], [doi[abs]
  13. Cox, JT; Durrett, R; Perkins, E, Voter model perturbations and reaction diffusion equations, Asterique, vol. 349 (2013), pp. 1-113 [math.PR/1103.1676]
  14. 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. 42-48, ISSN 0040-5809 [doi[abs]
  15. 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]
  16. Durrett, R, SPecial invited paper coexistence in stochastic spatial models, The Annals of Applied Probability, vol. 19 no. 2 (2009), pp. 477-496, ISSN 1050-5164 [MR2521876 (2010g:60213)], [doi[abs]
  17. 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]