3 papers
math.PR2025
Mott's law for the v.r.h. random resistor network and for Mott's random walk
Alessandra Faggionato
Mott's variable range hopping (v.r.h.) is the phonon-induced hopping of electrons in disordered solids (such as doped semiconductors) within the regime of strong Anderson localizat…
math.PR2024
Graphical constructions of simple exclusion processes with applications to random environments
Alessandra Faggionato
We show that the symmetric simple exclusion process (SSEP) on a countable set is well defined by the stirring graphical construction as soon as the dynamics of a single particle is…
math.PR2024
A martingale approach to time-dependent and time-periodic linear response in Markov jump processes
Alessandra Faggionato, Vittoria Silvestri
We consider a Markov jump process on a general state space to which we apply a time-dependent weak perturbation over a finite time interval. By martingale-based stochastic calculus…