14 papers
Edgeworth expansions for integer valued additive functionals of uniformly elliptic Markov chains
Dmitry Dolgopyat, Yeor Hafouta
We obtain asymptotic expansions for probabilities of partial sums of uniformly bounded integer-valued functionals of uniformly ellip…
A Berry-Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains
Dmitry Dolgopyat, Yeor Hafouta
We prove a Berry-Esseen theorem and Edgeworth expansions for partial sums of the form , where is a uniformly elliptic inhomogeneous Ma…
Edgeworth expansions for independent bounded integer valued random variables
Dmitry Dolgopyat, Yeor Hafouta
We obtain asymptotic expansions for local probabilities of partial sums for uniformly bounded independent but not necessarily identically distributed integer-valued random variable…
Almost Sure Invariance Principle for Random Distance Expanding Maps with a Nonuniform Decay of Correlations
Davor Dragicevic, Yeor Hafouta
We prove a quenched almost sure invariance principle for certain classes of random distance expanding dynamical systems which do not necessarily exhibit uniform decay of correlatio…
On Eagleson's theorem in the non-stationary setup
Yeor Hafouta
The classical Eagleson's theorem states that if appropriately normalized Birkhoff sums generated by a measurable function and a probability preserving transformation converge in di…
Limit theorems for random expanding or hyperbolic dynamical systems and vector-valued observables
Davor Dragičević, Yeor Hafouta
The purpose of this paper is twofold. In one direction, we extend the spectral method for random piecewise expanding and hyperbolic dynamics developed by the first author \textit{e…