Optimal mixing of Glauber dynamics: entropy factorization via high-dimensional expansion

DOI10.1145/3406325.3451035arXiv2011.02075OpenAlexW3170539426MaRDI QIDQ6065273

Zongchen Chen, Eric Vigoda, Kuikui Liu

Publication date: 14 November 2023

Published in: Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.02075

zbMATH Keywords

Glauber dynamicsspin systemmodified log-Sobolev inequalityspectral independencehigh-dimensional expander

Mathematics Subject Classification ID

Theory of computing (68Qxx)

Related Items (10)

Rapid Mixing of Glauber Dynamics up to Uniqueness via Contraction ⋮ Approximately Counting Independent Sets of a Given Size in Bounded-Degree Graphs ⋮ A Spectral Independence View on Hard Spheres via Block Dynamics ⋮ Perfect sampling from spatial mixing ⋮ Swendsen-Wang dynamics for the ferromagnetic Ising model with external fields ⋮ Algorithms for hard-constraint point processes via discretization ⋮ Log-concave polynomials. II: High-dimensional walks and an FPRAS for counting bases of a matroid ⋮ Modified log-Sobolev inequalities, Beckner inequalities and moment estimates ⋮ Spectral Independence in High-Dimensional Expanders and Applications to the Hardcore Model ⋮ On mixing of Markov chains: coupling, spectral independence, and entropy factorization

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