88 citations · 293 across the 27 of their papers we have counts for
30 papers
Nonlinear Exchange Dynamics for Independent Sets
Mehrad Abbaszadeh Minab, Pietro Caputo, Zongchen Chen +2
In recent years, nonlinear dynamics derived from kinetic theory have gained attention in the context of sampling configurations of spin systems such as the Ising model. We focus on…
Nonlinear dynamics for the Ising model
Pietro Caputo, Alistair Sinclair
We introduce and analyze a natural class of nonlinear dynamics for spin systems such as the Ising model. This class of dynamics is based on the framework of mass action kinetics, w…
Spatial mixing and the random-cluster dynamics on lattices
Reza Gheissari, Alistair Sinclair
An important paradigm in the understanding of mixing times of Glauber dynamics for spin systems is the correspondence between spatial mixing properties of the models and bounds on…
Low-temperature Ising dynamics with random initializations
Reza Gheissari, Alistair Sinclair
It is well known that Glauber dynamics on spin systems typically suffer exponential slowdowns at low temperatures. This is due to the emergence of multiple metastable phases in the…
The Critical Mean-field Chayes-Machta Dynamics
Antonio Blanca, Alistair Sinclair, Xusheng Zhang
The random-cluster model is a unifying framework for studying random graphs, spin systems and electrical networks that plays a fundamental role in designing efficient Markov Chain…
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…