2007/02/12 by Eugene Lytvynov, E. Lytvynov, Lytvynov, E. +2
Mathematics · Physics and Astronomy · #60J75 #60J80 #60K35 #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #math.PR #msc:60J75 #msc:60J80 #msc:60K35
paper · pdf · doi:10.48550/arxiv.math/0702338
arxiv created 2007/02/12 · openalex publication_date 2007/02/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct two types of equilibrium dynamics of infinite particle systems in a locally compact Polish space X, for which certain fermion point processes are invariant. The Glauber dynamics is a birth-and-death process in X, while in the case of the Kawasaki dynamics interacting particles randomly hop over X. We establish conditions on generators of both dynamics under which corresponding conservative Markov processes exist.