37 citations · 386 across the 41 of their papers we have counts for
10 papers · 1 filter
Limit theorems and lack thereof for a multilayer random walk mimicking human mobility
Alessandra Bianchi, Marco Lenci, Françoise Pène
We introduce a continuous-time random walk model on an infinite multilayer structure inspired by transportation networks. Each layer is a copy of , indexed by a non-n…
Discrete- and continuous-time random walks in 1D Lévy random medium
Marco Lenci
A Lévy random medium, in a given space, is a random point process where the distances between points, a.k.a. targets, are long-tailed. Random walks visiting the targets of a Lévy r…
Limit theorems for Lévy flights on a 1D Lévy random medium
Samuele Stivanello, Gianmarco Bet, Alessandra Bianchi +2
We study a random walk on a point process given by an ordered array of points on the real line. The distances are i.i.d. random variabl…
Global observables for random walks: law of large numbers
Dmitry Dolgopyat, Marco Lenci, Péter Nándori
We consider the sums where is a random walk on and is a global observable, that is, a bounded function wh…
Continuous-time random walk between Lévy-spaced targets in the real line
Alessandra Bianchi, Marco Lenci, Françoise Pène
We consider a continuous-time random walk which is defined as an interpolation of a random walk on a point process on the real line. The distances between neighboring points of the…
Random walks in a one-dimensional Lévy random environment
Alessandra Bianchi, Giampaolo Cristadoro, Marco Lenci +1
We consider a generalization of a one-dimensional stochastic process known in the physical literature as Lévy-Lorentz gas. The process describes the motion of a particle on the rea…
Random walks in random environments without ellipticity
Marco Lenci
We consider random walks in random environments on Z^d. Under a transitivity hypothesis that is much weaker than the customary ellipticity condition, and assuming an absolutely con…
Central Limit Theorem and recurrence for random walks in bistochastic random environments
Marco Lenci
We prove the annealed Central Limit Theorem for random walks in bistochastic random environments on with zero local drift. The proof is based on a "dynamicist's interpretatio…
Invariance Principle and recurrence for random walks in random environments with zero local drift
Marco Lenci
This paper has been withdrawn by the author due to a mistake in one of the main lemmas.
Recurrence for persistent random walks in two dimensions
Marco Lenci
We discuss the question of recurrence for persistent, or Newtonian, random walks in Z^2, i.e., random walks whose transition probabilities depend both on the walker's position and…