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math.PR2025
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…
math.PR2025
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…
math.PR2018
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…