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4 papers · 2 filters
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…
The shape of the D SOS surface above a wall
Pietro Caputo, Eyal Lubetzky, Fabio Martinelli +2
We give a full description for the shape of the classical (2+1)\Dim Solid-On-Solid model above a wall, introduced by Temperley (1952). On an box at a large inverse-temp…
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…