Weak Poincaré Inequalities in the Absence of Spectral Gaps
(2019)
Journal Article
Ben-Artzi, J., & Einav, A. (2020). Weak Poincaré Inequalities in the Absence of Spectral Gaps. Annales Henri Poincaré, 21(2), 359–375. https://doi.org/10.1007/s00023-019-00858-4
For generators of Markov semigroups which lack a spectral gap, it is shown how bounds on the density of states near zero lead to a so-called weak Poincaré inequality (WPI), originally introduced by Liggett (Ann Probab 19(3):935–959, 1991). Applicatio... Read More about Weak Poincaré Inequalities in the Absence of Spectral Gaps.