5 papers · 1 filter
The Ising Model on a Two-Community Stochastic Block Model
Alessandra Bianchi, Vanessa Jacquier, Matteo Sfragara
We study the Ising model on a two-community stochastic block model, where spins are split into two equal groups with inter-community interaction parameter . We pro…
Mixing trichotomy for random walks on directed stochastic block models
Alessandra Bianchi, Giacomo Passuello, Matteo Quattropani
We consider a directed version of the classical Stochastic Block Model with communities and a parameter controlling the inter-community connectivity. We show that, dep…
Limit theorems and lack thereof for a multilayer random walk mimicking human mobility
Alessandra Bianchi, Marco Lenci, Françoise Pène
We introduce a continuous-time random walk model on an infinite multilayer structure inspired by transportation networks. Each layer is a copy of , indexed by a non-n…
Mixing cutoff for simple random walks on the Chung-Lu digraph
Alessandra Bianchi, Giacomo Passuello
In this paper, we are interested in the mixing behaviour of simple random walks on inhomogeneous directed graphs. We focus our study on the Chung-Lu digraph, which is an inhomogene…
On soft capacities, quasi-stationary distributions and the pathwise approach to metastability
Alexandre Gaudilliere, A. Bianchi, P Milanesi
Motivated by the study of the metastable stochastic Ising model at subcritical temperature and in the limit of a vanishing magnetic field, we extend the notion of (, )-capaci…