296 citations
- Centre National de la Recherche ScientifiqueFR34 papers
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6 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…
Displacement convexity of entropy and related inequalities on graphs
Nathaël Gozlan, Cyril Roberto, Paul-Marie Samson +1
We introduce the notion of an interpolating path on the set of probability measures on finite graphs. Using this notion, we first prove a displacement convexity property of entropy…
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…
Tanaka's equation on the circle and stochastic flows
Hatem Hajri, Olivier Raimond
We define a Tanaka's equation on an oriented graph with two edges and two vertices. This graph will be embedded in the unit circle. Extending this equation to flows of kernels, we…
The Limiting Shape for Drifted Internal Diffusion Limited Aggregation is a True Heat Ball
Cyrille Lucas
We build the iDLA cluster using drifted random walks, and study the limiting shapes they exhibit, with the help of sandpile models. For constant drift, the normalised cluster conve…