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 $({\omega }_k,k\in \mathbb{Z})$ on the real line. The distances ${\omega }_{k+1}-{\omega }_k$ are i.i.d. random variabl…