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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, 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. R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case, Annals Applied Probability (Accepted, 2013)
  5. 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]
  6. 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]
  7. 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]
  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. 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]
  11. 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]
  12. Durrett, R, Population genetics of neutral mutations in exponentially growing cancer cell populations, Annals of Applied Probability, vol. 23 no. 1 (2011), pp. 230-250, Institute of Mathematical Statistics [doi[abs]
  13. Cox, JT; Durrett, R; Perkins, E, Voter model perturbations and reaction diffusion equations, Asterique, vol. 349 no. 349 (2011), pp. 1-127 [math.PR/1103.1676[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]
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Mathematics Department
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Durham, NC 27708-0320