Sandro Vaienti

collaborators

2 papers

math.DS2024

Compound Poisson distributions for random dynamical systems using probabilistic approximations

Lucas Amorim, Nicolai Haydn, Sandro Vaienti

We obtain quenched hitting distributions to be compound Poissonian for a certain class of random dynamical systems. The theory is general and designed to accommodate non-uniformly…

math.DS2004

Hitting and return times in ergodic dynamical systems

N. Haydn, Y. Lacroix, S. Vaienti

Given an ergodic dynamical system $(X, T, μ)$ , and $U \subset X$ measurable with $μ (U) > 0$ , let $μ (U) τ_{U} (x)$ denote the normalized hitting time of $x \in X$ to $U$ . We prove that given…