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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…
math.PR2020★ 22 cited
Block factorization of the relative entropy via spatial mixing
Pietro Caputo, Daniel Parisi
We consider spin systems in the -dimensional lattice satisfying the so-called strong spatial mixing condition. We show that the relative entropy functional of the correspo…