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
  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. R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case, Annals Applied Probability (Accepted, 2013)
  4. 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]
  5. 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]
  6. 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]
  7. R. Durrett, Phase transition in a meta-population version of Schelling's model (Submitted, 2012)
  8. R. Durrett, J. Foo, and K. Leder, Spatial Moran Models II. Tumor growth and progression (Submitted, 2012)
  9. 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]
  10. 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]
  11. Durrett, R, Population genetics of neutral mutations in exponentially growing cancer cell populations, Annals of Applied Probability, vol. 23 (2012), pp. 230-250
  12. Cox, JT; Durrett, R; Perkins, E, Voter model perturbations and reaction diffusion equations, Asterique, vol. 349 (2013), pp. 1-113 [math.PR/1103.1676]
  13. 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]
  14. 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]
  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 : 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]
  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]