41 citations · 95 across the 11 of their papers we have counts for
11 papers
Crossings and diffusion in Poisson driven marked random connection models
Alessandra Faggionato, Ivailo Hartarsky
We first study crossing statistics in random connection models (RCM) built on marked Poisson point processes on . Under general assumptions, we show exponential tail b…
An ergodic theorem with weights and applications to random measures, RW homogenization and IPS hydrodynamics on point processes
A. Faggionato
We prove a multidimensional ergodic theorem with weighted averages for the action of the group on a probability space. At level weights are of the form $n^{-d} ψ…
Scaling limit of the directional conductivity of random resistor networks on simple point processes
A. Faggionato
We consider random resistor networks with nodes given by a point process on and with random conductances. The length range of the electrical filaments can be unbound…
The influence of dimension on the relaxation process of East-like models
Paul Chleboun, Alessandra Faggionato, Fabio Martinelli
We consider the relaxation process and the out-of-equilibrium dynamics of natural generalizations to arbitrary dimensions of the well known one dimensional East process. These faci…
Time scale separation in the low temperature East model: Rigorous results
Paul Chleboun, Alessandra Faggionato, Fabio Martinelli
We consider the non-equilibrium dynamics of the East model, a linear chain of 0-1 spins evolving under a simple Glauber dynamics in the presence of a kinetic constraint which forbi…
A representation formula for large deviations rate functionals of invariant measures on the one dimensional torus
A. Faggionato, D. Gabrielli
We consider a generic diffusion on the 1D torus and give a simple representation formula for the large deviation rate functional of its invariant probability measure, in the limit…