258 citations · 915 across the 51 of their papers we have counts for
6 papers · 2 filters
Mixing time bounds for oriented kinetically constrained spin models
Paul Chleboun, Fabio Martinelli
We analyze the mixing time of a class of oriented kinetically constrained spin models (KCMs) on a d-dimensional lattice of sites. A typical example is the North-East model, a…
Mixing time of a kinetically constrained spin model on trees: power law scaling at criticality
Nicoletta Cancrini, Fabio Martinelli, Cyril Roberto +1
On the rooted -ary tree we consider a 0-1 kinetically constrained spin model in which the occupancy variable at each node is re-sampled with rate one from the Bernoulli(p) measu…
Random lattice triangulations: Structure and algorithms
Pietro Caputo, Fabio Martinelli, Alistair Sinclair +1
The paper concerns lattice triangulations, that is, triangulations of the integer points in a polygon in whose vertices are also integer points. Lattice triangulatio…
Fredrickson-Andersen one spin facilitated model out of equilibrium
Oriane Blondel, Nicoletta Cancrini, Fabio Martinelli +2
We consider the Fredrickson and Andersen one spin facilitated model (FA1f) on an infinite connected graph with polynomial growth. Each site with rate one refreshes its occupation v…
The East model: recent results and new progresses
Alessandra Faggionato, Fabio Martinelli, Cyril Roberto +1
The East model is a particular one dimensional interacting particle system in which certain transitions are forbidden according to some constraints depending on the configuration o…
Dynamics of -dimensional SOS surfaces above a wall: Slow mixing induced by entropic repulsion
Pietro Caputo, Eyal Lubetzky, Fabio Martinelli +2
We study the Glauber dynamics for the Solid-On-Solid model above a hard wall and below a far away ceiling, on an box of with zero bound…