Poincaré and logarithmic Sobolev constants for metastable Markov chains via capacitary inequalities
DOI10.1214/19-AAP1484zbMath1432.60070arXiv1705.05135MaRDI QIDQ2299584
André Schlichting, Martin Slowik
Publication date: 21 February 2020
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.05135
metastabilityrandom field Curie-Weiss modelharmonic functionsPoincaré constantlogarithmic Sobolev constantmean hitting timecapacitary inequality
Inequalities; stochastic orderings (60E15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Probabilistic potential theory (60J45) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
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