322 citations · 1.5k across the 67 of their papers we have counts for
74 papers
Local dimer dynamics in higher dimensions
Ivailo Hartarsky, Lyuben Lichev, Fabio Toninelli
We consider local dynamics of the dimer model (perfect matchings) on hypercubic boxes . These consist of successively switching the dimers along alternating cycles of prescr…
Gaussian Fluctuations for the stochastic Burgers equation in dimension
Giuseppe Cannizzaro, Massimiliano Gubinelli, Fabio Toninelli
The goal of the present paper is to establish a framework which allows to rigorously determine the large-scale Gaussian fluctuations for a class of singular SPDEs at and above crit…
Kinetically constrained models out of equilibrium
Ivailo Hartarsky, Fabio Toninelli
We study the full class of kinetically constrained models in arbitrary dimension and out of equilibrium, in the regime where the density of facilitating sites in the equilibriu…
Non-reversible stationary states for majority voter and Ising dynamics on trees
Piet Lammers, Fabio Toninelli
We study three Markov processes on infinite, unrooted, regular trees: the stochastic Ising model (also known as the Glauber heat bath dynamics of the Ising model), a majority voter…
Height function localisation on trees
Piet Lammers, Fabio Toninelli
We study two models of discrete height functions, that is, models of random integer-valued functions on the vertices of a tree. First, we consider the random homomorphism model, in…
The mixing time of the lozenge tiling Glauber dynamics
Benoit Laslier, Fabio Toninelli
The broad motivation of this work is a rigorous understanding of reversible, local Markov dynamics of interfaces, and in particular their speed of convergence to equilibrium, measu…