most citedOn Mixing of Markov Chains: Coupling, Spectral Independence, and Entropy Factorization

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math.PR2021★ 1 cited

On Mixing of Markov Chains: Coupling, Spectral Independence, and Entropy Factorization

Antonio Blanca, Pietro Caputo, Zongchen Chen +3

For general spin systems, we prove that a contractive coupling for any local Markov chain implies optimal bounds on the mixing time and the modified log-Sobolev constant for a larg…

math.PR2020

Entropy decay in the Swendsen-Wang dynamics on

Antonio Blanca, Pietro Caputo, Daniel Parisi +2

We study the mixing time of the Swendsen-Wang dynamics for the ferromagnetic Ising and Potts models on the integer lattice . This dynamics is a widely used Markov ch…