191 citations · 491 across the 26 of their papers we have counts for
4 papers · 2 filters
Convergence of Rare Events Point Processes to the Poisson for billiards
Jorge Milhazes Freitas, Nicolai Haydn, Matthew Nicol
We show that for planar dispersing billiards the return times distribution is, in the limit, Poisson for metric balls almost everywhere w.r.t. the SRB measure. Since the Poincaré r…
Recurrence statistics for the space of Interval Exchange maps and the Teichmüller flow on the space of translation surfaces
Romain Aimino, Matthew Nicol, Mike Todd
In this note we show that the transfer operator of a Rauzy-Veech-Zorich renormalization map acting on a space of quasi-Hölder functions is quasicompact and derive certain statistic…
Annealed and quenched limit theorems for random expanding dynamical systems
Romain Aimino, Matthew Nicol, Sandro Vaienti
In this paper, we investigate annealed and quenched limit theorems for random expanding dynamical systems. Making use of functional analytic techniques and more probabilistic argum…
Central limit theorems for the shrinking target problem
Nicolai Haydn, Matthew Nicol, Sandro Vaienti +1
Suppose are nested balls of radius about a point in a dynamical system . The question of whether infinitely often (i. o.) for …