3 citations · 3 across the 5 of their papers we have counts for
5 papers
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…
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…
Statistical properties of coupled expanding maps on a lattice with general infinite range couplings and Hölder densities
Chinmaya Gupta, Nicolai Haydn
We continue the development of transfer operator techniques for expanding maps on a lattice coupled by general interaction functions. We obtain a spectral gap for an appropriately…