Research Interests for Rick Durrett

Probability problems that arise from genetics and ecology, especially stochastic spatial models and cancer models. Random graphs and processes that take place on them.

Representative Publications

1. K. Danesh, R. Durrett, L. Havrilesky, and E. Myers, A branching process model of ovarian cancer, J. Theor. Biol. (Accepted, 2012)
2. R. Durrett, Phase transition in a meta-population version of Schelling's model (Submitted, 2012)
3. R. Durrett, J. Foo, and K. Leder, Spatial Moran Models II. Tumor growth and progression (Submitted, 2012)
4. R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case (Submitted, 2012)
5. R. Durrett, J.P. Gleeson, A.L. Lloyd, P.J. Mucha, Feng Shi, D. Sivakoff, J.E.S. Socoloar, and C. Varghese, Graph fission in an evolving voter model, Proceedings of the National Academy of Science, vol. 109 (2012), pp. 3682-3687
6. J.T. Cox, R. Durrett, E. Perkins, Voter model perturbations and reaction diffusion equations, Asterique (Accepted, 2011) [math.PR/1103.1676]
7. Durrett, Rick and Mayberry, John, Traveling waves of selective sweeps, The Annals of Applied Probability, vol. 21 no. 2 (2011), pp. 699--744, ISSN 1050-5164 [MR2807971]
8. Chatterjee, Shirshendu and Durrett, Rick, Persistence of activity in threshold contact processes, an ``annealed approximation'' of random {B}oolean networks, Random Structures \& Algorithms, vol. 39 no. 2 (2009), pp. 228--246, ISSN 1042-9832 [MR2850270]
9. R. Durrett, J. Foo, K. Leder, J. Mayberry, and F. Michor, Intratumor heterogeneity in evolutionary models of tumor progression, Genetics, vol. 188 (2011), pp. 461-477
10. R. Durrett and Shirshendu Chatterjee, Persistence of activity in random Boolean networks, Random Structures and Algorithms, vol. 39 (2011), pp. 228-246
11. R. Durrett and Stephen Moseley, Evolution of resistance and progression to disease during clonal expansion of cancer, Theor. Pop. Biol., vol. 77 (2010), pp. 42-48
12. R. Durrett, J. Foo, K. Leder, J. Mayberry, and F. Michor, Evolutionary dynamics of tumor progression with random fitness values, Theor. Pop. Biol., vol. 78 (2010), pp. 54-66 [math.PR/1003.1927]
13. R. Durrett and Shirshendu Chatterjee, Asymptotic behavior of Aldous' gossip process, Annals of Applied Probability, vol. 21 (2010), pp. 2447-2482 [math.PR/1005.1608]
14. Rick Durrett, Deena Schmidt, and Jason Schweinsberg, A waiting time problem arising from the study of multi-stage carcinogenesis, The Annals of Applied Probability, vol. 19 (2009), pp. 676--718, ISSN 1050-5164 [MR2521885 (2010f:60243)]
15. R. Durrett, Special invited paper: Coexistence in stochastic spatial models, The Annals of Applied Probability, vol. 19 (2009), pp. 477--496, ISSN 1050-5164 [MR2521876 (2010g:60213)]
16. R. Durrett and Lea Popovic, Degenerate diffusions arising from gene duplication models, Ann. Appl. Probab., vol. 19 (2009), pp. 15-48 [MR2521876 (2010g:60213)]
17. R. Durrett and Deena Schmidt, Waiting for two mutations with applications to regulatory sequence evolution and the limits of Darwinian evolution, Genetics, vol. 180 (2008), pp. 1510-1509