Event Type:

Probability Seminar

Date/Time:

Tuesday, October 13, 2015 - 16:00 to 17:00

Location:

STAG 112

Local Speaker:

Abstract:

We describe and characterize an extension to the classical path coupling method referred to as aggregate path coupling. In conjunction with large deviations estimates, we use this aggregate path coupling method to prove rapid mixing of Glauber dynamics for a large class of statistical mechanical models, including models that exhibit discontinuous phase transitions which have traditionally been more difficult to analyze rigorously. Specifically, the parameter regions for rapid mixing for the generalized Curie-Weiss-Potts model and the mean-field Blume-Capel model are derived as an application of the aggregate path coupling method.

Joint work with Peter T. Otto of Willamette University.