23 citations · 92 across the 25 of their papers we have counts for
4 papers · 2 filters
Entry times distribution for mixing systems
Nicolai Haydn, Fan Yang
We consider the return times dynamics to Bowen balls for continuous maps on metric spaces which have invariant probability measures with certain mixing properties. These mixing pro…
Entry times distribution for dynamical balls on metric spaces
Nicolai Haydn, Fan Yang
We show that the entry and return times for dynamic balls (Bowen balls) is exponential for systems that have an -mixing invariant measure with certain regularities. We also show…
Almost sure invariance principle for sequential and non-stationary dynamical systems
N. Haydn, M. Nicol, A. Tôrôk +1
We establish almost sure invariance principles, a strong form of approximation by Brownian motion, for non-stationary time-series arising as observations on dynamical systems. Our…
Limiting distribution and error terms for the number of visits to balls in non-uniformly hyperbolic dynamical systems
Nicolai T A Haydn, K Wasilewska
We show that for systems that allow a Young tower construction with polynomially decaying correlations the return times to metric balls are in the limit Poisson distributed. We als…