Probability Seminar: Stefan Adams

  • Date: 11/26/2014
  • Time: 15:10
Lecturer(s):
Stefan Adams, Warwick University
Location: 

University of British Columbia

Topic: 

Phase Transitions in Continuum Delaunay Potts Models

Description: 

We discuss recent results on phase transitions of  Delaunay Potts models in dimension two where the interaction depends on Delaunay edges respectively Delaunay triangles.This work is an extension of the Lebowitz & Lieb soft-core continuum Potts model to geometrically dependent interaction systems. The main tool is a FK (Fortuin-Kasteleyn)  random cluster representation adapted to the Delaunay structure and percolation in the FK model.  If time permits we discuss the Voronoi-Ising model where the interaction is function of the length of the common boundary and its connection to variants of the RSW (Russo-Seymour-Welsh) theorem in continuum percolation.

Other Information: 

Location: ESB 2012