SPECTRAL GAPS FOR REVERSIBLE MARKOV PROCESSES WITH CHAOTIC INVARIANT MEASURES: THE KAC PROCESS WITH HARD SPHERE COLLISIONS IN THREE DIMENSIONS

• 成果类型: Article
• 署名作者: Carlen, Eric; Carvalho, Maria; Loss, Michael
• 署名单位: Rutgers University System; Rutgers University New Brunswick; Universidade de Lisboa; University System of Georgia; Georgia Institute of Technology
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/20-AOP1437
• 发表日期: 2020
• 页码: 2807-2844
• 关键词: model

摘要

We develop a method for producing estimates on the spectral gaps of reversible Markov jump processes with chaotic invariant measures, that is effective in the case of degenerate jump rates, and we apply it to prove the Kac conjecture for hard sphere collision in three dimensions.