23 citations · 92 across the 25 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…
The Almost Sure Invariance Principle for Beta-Mixing measures
N T A Haydn
The theorem of Shannon-McMillan-Breiman states that for every generating partition on an ergodic system of finite entropy the exponential decay rate of the measure of cylinder sets…
Entrance Time and Rényi Entropy
Chinmaya Gupta, Nicolai Haydn, Milton Ko +1
For ergodic systems with generating partitions, the well known result of Ornstein and Weiss shows that the exponential growth rate of the recurrence time is almost surely equal to…
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 …