The Cut-Off Phenomenon for the Random-Cluster Model

Probability Seminar
Aug 21, 2019 3:10pm to 4:00pm
Location: 
1011 Evans Hall
Status: 
Happening As Scheduled
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.
Insuk Seo, Seoul National University