22 citations · 103 across the 32 of their papers we have counts for
5 papers · 2 filters
The parabolic Anderson model on the hypercube
Luca Avena, Onur Gün, Marion Hesse
We consider the parabolic Anderson model on the -dimensional hypercube with random i.i.d. potential . We…
Random walks in cooling random environments
L. Avena, F. den Hollander
We propose a model of a one-dimensional random walk in dynamic random environment that interpolates between two classical settings: (I) the random environment is sampled at time ze…
Mixing times of random walks on dynamic configuration models
Luca Avena, Hakan Guldas, Remco van der Hofstad +1
The mixing time of a random walk, with or without backtracking, on a random graph generated according to the configuration model on vertices, is known to be of order .…
A class of random walks in reversible dynamic environment: antisymmetry and applications to the East model
Luca Avena, Oriane Blondel, Alessandra Faggionato
We introduce via perturbation a class of random walks in reversible dynamic environments having a spectral gap. In this setting one can apply the mathematical results derived in ht…
Analysis of random walks in dynamic random environments via -perturbations
L. Avena, O. Blondel, A. Faggionato
We consider random walks in dynamic random environments given by Markovian dynamics on . We assume that the environment has a stationary distribution and satisfie…