7 papers · 1 filter
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…
A vector valued almost sure invariance principle for time dependent non-uniformly expanding dynamical systems
Yeor Hafouta
We prove a vector-valued almost sure invariance principle for some classes of time dependent non-uniformly distance expanding dynamical systems. The models we have in mind are cert…
Complex projective metrics on Young towers, countable sub-shifts and other countable covering maps
Yeor Hafouta
In this article we will apply complex projective metrics to sequences of complex transfer operators generated by Young towers, countable shifts and other types of distance expandin…
Limit theorems for some time dependent expanding dynamical systems
Yeor Hafouta
In this paper we will prove various probabilistic limit theorems for some classes of distance expanding sequential dynamical systems (SDS). Our starting point here is certain seque…