Approximate tensorization of entropy at high temperature

DOI10.5802/afst.1460zbMath1331.60038arXiv1405.0608OpenAlexW2963005408MaRDI QIDQ5963349

Pietro Caputo, Georg Menz, Prasad Tetali

Publication date: 19 February 2016

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0608

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (12)

Quasi-factorization and multiplicative comparison of subalgebra-relative entropy ⋮ Entropy decay in the Swendsen-Wang dynamics on \(\mathbb{Z}^d\) ⋮ A note on concentration for polynomials in the Ising model ⋮ Modified log-Sobolev inequalities and two-level concentration ⋮ Uniqueness of gradient Gibbs measures with disorder ⋮ Block factorization of the relative entropy via spatial mixing ⋮ Entropy production in nonlinear recombination models ⋮ Concentration inequalities for bounded functionals via log-Sobolev-type inequalities ⋮ Logarithmic Sobolev inequalities in discrete product spaces ⋮ Large deviations, a phase transition, and logarithmic Sobolev inequalities in the block spin Potts model ⋮ Second-order converses via reverse hypercontractivity ⋮ On mixing of Markov chains: coupling, spectral independence, and entropy factorization

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