22 citations · 25 across the 4 of their papers we have counts for
4 papers
Nonlinear recombinations and generalized random transpositions
Pietro Caputo, Daniel Parisi
We study a nonlinear recombination model from population genetics as a combinatorial version of the Kac-Boltzmann equation from kinetic theory. Following Kac's approach, the nonlin…
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…
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…
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…