Relaxation Times of Markov Chains in Statistical Mechanics and Combinatorial Structures

Autor: Fabio Martinelli
Přispěvatelé: D. ALDOUS, J.M. STEELE, G. GRIMMETT, C. D. HOWARD, F. MARTINELLI, L.SALOFF-COSTE, Martinelli, Fabio
Rok vydání: 2004
Předmět:
Zdroj: Probability on Discrete Structures ISBN: 9783642056475
Popis: In Markov chain Monte Carlo theory a particular Markov chain is run for a very long time until its distribution is close enough to the equilibrium measure. In recent years, for models of statistical mechanics and of theoretical computer science, there has been a flourishing of new mathematical ideas and techniques to rigorously control the time it takes for the chain to equilibrate. This has provided a fruitful interaction between the two fields and the purpose of this paper is to provide a comprehensive review of the state of the art.
Databáze: OpenAIRE