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, 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, 2013), pp. 062818, ISSN 1539-3755 [doi[abs]
  3. 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 1539-3755 [doi[abs]
  4. Durrett, R, Population genetics of neutral mutations in exponentially growing cancer cell populations, The Annals of Applied Probability, vol. 23 no. 1 (February, 2013), pp. 230-250, Institute of Mathematical Statistics [doi[abs]
  5. Cox, JT; Durrett, R; Perkins, EA, Voter model perturbations and reaction diffusion equations, Astérisque, vol. 349 no. 349 (January, 2013), pp. 1-127 [math.PR/1103.1676[abs]
  6. R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case, Annals Applied Probability (Accepted, 2013)
  7. Danesh, K; Durrett, R; Havrilesky, LJ; Myers, E, A branching process model of ovarian cancer., J Theor Biol, vol. 314 (December, 2012), pp. 10-15 [22959913], [doi[abs]
  8. Durrett, R; Remenik, D, Evolution of dispersal distance., Journal of Mathematical Biology, vol. 64 no. 4 (March, 2012), pp. 657-666, ISSN 0303-6812 [doi[abs]
  9. 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. 3682-3687 [22355142], [doi[abs]
  10. R. Durrett, Phase transition in a meta-population version of Schelling's model (Submitted, 2012)
  11. R. Durrett, J. Foo, and K. Leder, Spatial Moran Models II. Tumor growth and progression (Submitted, 2012)
  12. Chatterjee, S; Durrett, R, Asymptotic behavior of Aldous' gossip process, The Annals of Applied Probability, vol. 21 no. 6 (December, 2011), pp. 2447-2482, Institute of Mathematical Statistics, ISSN 1050-5164 [math.PR/1005.1608], [doi[abs]
  13. 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. 461-477, ISSN 0016-6731 [doi[abs]
  14. 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. 54-66, ISSN 0040-5809 [math.PR/1003.1927], [doi[abs]
  15. 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]
  16. Durrett, R, SPecial invited paper coexistence in stochastic spatial models, The Annals of Applied Probability, vol. 19 no. 2 (April, 2009), pp. 477-496, Institute of Mathematical Statistics, 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 (November, 2008), pp. 1501-1509, ISSN 0016-6731 [doi[abs]