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. 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
2. R. Durrett and D. Remenik, Evolution of dispersal distance, J. Mathematical Biology, vol. 39 (2011), pp. 2043-2078
3. 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]
4. 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]
5. 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
6. R. Durrett and Shirshendu Chatterjee, Persistence of activity in random Boolean networks, Random Structures and Algorithms, vol. 39 (2011), pp. 228-246
7. R. Durrett, Probability: Theory and Examples, 4th Edition (2010), Cambridge U Press
8. R. Durrett, Some features of the spread of epidemics and opinions on a random graph, Proc. Natl. Acad. Sci., vol. 107 (2010), pp. 4491-4498
9. 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
10. 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]
11. Durrett, Rick and Mayberry, John, Evolution in predator-prey systems, Stochastic Processes and their Applications, vol. 120 no. 7 (2010), pp. 1364--1392, ISSN 0304-4149 [MR2011d:92087]
12. R. Durrett and Daniel Remenik, Brunet-Derrida particle systems, free boundary problems and Weiner-Hopf equations, Annals of Probability, vol. 39 (2010), pp. 2043-2078
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. 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)]
15. R. Durrett, Random Graph Dynamics, Cambridge Series in Statistical and Probabilistic Mathematics (2007), pp. x+212, Cambridge University Press, Cambridge, ISBN 978-0-521-86656-9; 0-521-86656-1 [MR2271734 (2008c:05167)]