The Cut-Off Phenomenon for the Random-Cluster Model

Seminar | August 21 | 3:10-4 p.m. | 1011 Evans Hall

 Insuk Seo, Seoul National University

 Department of Statistics

In this presentation, we consider the random-cluster model which is a generalization of the standard edge percolation model. For the random-cluster model on lattice with periodic boundary condition, we prove that the Glauber dynamics exhibits a phenomenon known as the cut-off, especially for the very subcritical regime for all dimensions. This is a joint work with Shirshendu Ganguly.

 CA,, 5107086802