Poincar\'e and transportation inequalities for Gibbs measures under the Dobrushin uniqueness condition
Abstract
In in this paper we establish an explicit and sharp estimate of the spectral gap (Poincar\'e inequality) and the transportation inequality for Gibbs measures, under the Dobrushin uniqueness condition. Moreover, we give a generalization of the Liggett's M-ε theorem for interacting particle systems.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.