PhD research topic - Alessandra Faggionato
Probability, Mathematical Physics
Stochastic processes, statistical physics, disordered/glassy systems.
My interest is mainly for stochastic processes and mathematical physics (out-of-equilibrium statistical physics and dynamics in disordered/glassy systems). In particular my research has covered the following topics: Hydrodynamic limit of interacting particle systems in random environment; Random walks in random environment; Random walks in dynamic random environment; Mott variable range hopping; Piecewise deterministic Markov processes; Large deviations of empirical measure, flow, current; Gallavotti-Cohen symmetry (fluctuation theorems); Discrete kinetic models of molecular motors; Kinetically constrained models; Coalescence processes; h-extrema of Brownian motion; Plaquette models for glassy dynamics; aging; random resistor networks; linear response theory.
 A. Faggionato, N. Gantert, M. Salvi. The velocity of 1d Mott variable range random walk with external field. Ann. Inst. H. Poincar ´e Probab. Statist. To Appear.
 P. Chleboun, A. Faggionato, F. Martinelli. Relaxation to equilibrium of generalized East processes on Z^d: renormalization group analysis and energy–entropy competition. Ann. Probab. 44, n.3, 1817–1863 (2016).
 L. Bertini, A. Faggionato, D. Gabrielli. Large deviations of the empirical flow for continuous time Markov chains. Ann. Inst. H. Poincar ´e Probab. Statist. 51, 867–900 (2015).