Antonio Blanca

activity

20172021

most citedLower bounds for testing graphical models: colorings and antiferromagnetic Ising models

4 citations · 6 across the 3 of their papers we have counts for

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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 $Z^{d}$

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 $Z^{d}$ . This dynamics is a widely used Markov ch…

math.PR2018

Random-cluster dynamics in $Z^{2}$ : rapid mixing with general boundary conditions

Antonio Blanca, Reza Gheissari, Eric Vigoda

The random-cluster model with parameters $(p, q)$ is a random graph model that generalizes bond percolation ( $q = 1$ ) and the Ising and Potts models ( $q \geq 2$ ). We study its Glauber…

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

Entropy decay in the Swendsen-Wang dynamics on Zd

Random-cluster dynamics in Z2: rapid mixing with general boundary conditions

Entropy decay in the Swendsen-Wang dynamics on $Z^{d}$

Random-cluster dynamics in $Z^{2}$ : rapid mixing with general boundary conditions