One Dimensional DLA

Diffusion Limited Aggregation (DLA) is a notoriously difficult model for crystal growth introduced in 1981 by Sander and Witten. We consider a variation on DLA in 1 dimension generated by a random walk with large jumps. The growth rate of the diameter of the N particle aggregate depends on the tail of the step distribution, and exhibits three phase transitions when the walk steps have 1, 2 or 3 finite moments.

Speaker Details

I received my PhD from the Weizmann Institute in Israel with Benjamini and Schramm as supervisors (spending some time at MSR). Presently, I am at the University of Toronto. I also juggle and practice change ringing.

Date:
Speakers:
Omer Angel
Affiliation:
University of British Columbia
    • Portrait of Jeff Running

      Jeff Running