Path Coupling and Aggregate Path Coupling

Autor:	Kovchegov, Yevgeniy, Otto, Peter T.
Rok vydání:	2015
Předmět:	Mathematics - Probability Mathematical Physics Physics - Computational Physics Physics - Data Analysis Statistics and Probability 60-02 60J10 60K35
Druh dokumentu:	Working Paper
Popis:	In this survey paper, we describe and characterize an extension to the classical path coupling method applied statistical mechanical models, 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. The parameter region for rapid mixing for the generalized Curie-Weiss-Potts model is derived as a new application of the aggregate path coupling method. Comment: 48 pages, survey article
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1501.03107 Zobrazit plný text záznamu View this record from Arxiv