213 citations · 2.4k across the 100 of their papers we have counts for
51 papers · 1 filter
Asymptotic versus mesoscopic spectral dimensions in networks and inhomogeneous structures
Lorenzo Grimaldi, Pablo Villegas, Alessandro Vezzani +3
"Every object that biology studies is a system of systems." (François Jacob, 1974). Most networks feature intricate architectures originating from tinkering, a repetitive use of ex…
Rare Events and Redundancy in Random Walkers Target Search in a Finite Domain
Elisabetta Ellettari, Giacomo Nasuti, Alberto Bassanoni +2
Finding a target in a complex environment is a fundamental challenge across natural systems, from chemical reactions to sperm cells reaching an egg. A powerful strategy to reduce s…
Rare Events and Single Big Jump Effects in Ornstein-Uhlenbeck Processes
Alberto Bassanoni, Alessandro Vezzani, Eli Barkai +1
Even in a simple stochastic process, the study of the full distribution of time integrated observables can be a difficult task. This is the case of a much-studied process such as t…
Rare Events in Extreme Value Statistics of Jump Processes with Power Tails
Alberto Bassanoni, Alessandro Vezzani, Raffaella Burioni
We study rare events in the extreme value statistics of stochastic symmetric jump processes with power tails in the distributions of the jumps, using the big-jump principle. The pr…
Fast rare events in exit times distributions of jump processes
Alessandro Vezzani, Raffaella Burioni
Rare events in the first-passage distributions of jump processes are capable of triggering anomalous reactions or series of events. Estimating their probability is particularly imp…
Critical dynamics of long range models on Dynamical Lévy Lattices
Riccardo Aiudi, Raffaella Burioni, Alessandro Vezzani
We investigate critical equilibrium and out of equilibrium properties of a ferromagnetic Ising model in one and two dimension in the presence of long range interactions, $J_{ij}\pr…