Nathanael Berestycki

Ph.D. (2005) Cornell University

First Position

Postdoctoral position, University of British Columbia

Dissertation

Phase Transitions for the Distance of Random Walks with Applications to Genome Rearrangements

Advisor:

Richard Durrett

Research Area:

Probability

Abstract: We study phase transition phenomena for the distance of random walks on graphs. In particular, we show how this question relates to the theory of random graphs and to stochastic processes of coalescence and fragmentation. This question is also intimately connected to some problems in genome rearrangement.