23 citations · 92 across the 25 of their papers we have counts for
29 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…
Number of visits in arbitrary sets for -mixing dynamics
Sandro Gallo, Nicolai Haydn, Sandro Vaienti
It is well-known that, for sufficiently mixing dynamical systems, the number of visits to balls and cylinders of vanishing measure is approximately Poisson compound distributed in…
Erdos-Renyi laws for exponentially and polynomially mixing dynamical systems
Nicolai Haydn, Matthew Nicol
Erdos-Renyi limit laws give the length scale of a time-window over which time-averages in Birkhoff sums have a non-trivial almost-sure limit. We establish Erdos-Renyi type limit la…
Escape rate and conditional escape rate from a probabilistic point of view
Connor Davis, Nicolai Haydn, Fan Yang
We prove that for a sequence of nested sets with a measure zero set, the localized escape rate converges to the extremal index of , provided that the d…
Extreme Value Theory with Spectral Techniques: application to a simple attractor
Jason Atnip, Nicolai Haydn, Sandro Vaienti
We give a brief account of application of extreme value theory in dynamical systems by using perturbation techniques associated to the transfer operator. We will apply it to the ba…
Limiting entry times distribution for arbitrary null sets SETS
N. Haydn, S. Vaienti
We describe an approach that allows us to deduce the limiting return times distribution for arbitrary sets to be compound Poisson distributed. We establish a relation between the l…