6 papers
Strong renewal theorem and local limit theorem in the absence of regular variation
Peter Kevei, Dalia Terhesiu
We obtain a strong renewal theorem with infinite mean beyond regular variation, when the underlying distribution belongs to the domain of geometric partial attraction a semistable…
Sharp error term in local limit theorems and mixing for Lorentz gases with infinite horizon
Francoise Pène, Dalia Terhesiu
We obtain sharp error rates in the local limit theorem for the Sinai billiard map (one and two dimensional) with infinite horizon. This result allows us to further obtain higher or…
Limit theorems for wobbly interval intermittent maps
Douglas Coates, Mark Holland, Dalia Terhesiu
We consider perturbations of interval maps with indifferent fixed points, which we refer to as wobbly interval intermittent maps, for which stable laws for general Hölder observabl…
Pressure function and limit theorems for almost Anosov flows
Henk Bruin, Dalia Terhesiu, Mike Todd
We obtain limit theorems (Stable Laws and Central Limit Theorems, both Gaussian and non-Gaussian) and thermodynamic properties for a class of non-uniformly hyperbolic flows: almost…
Darling-Kac theorem for renewal shifts in the absence of regular variation
Peter Kevei, Dalia Terhesiu
We study null recurrent renewal Markov chains with renewal distribution in the domain of geometric partial attraction of a semistable law. Using the classical procedure of inversio…
Regular variation and rates of mixing for infinite measure preserving almost Anosov diffeomorphisms
Henk Bruin, Dalia Terhesiu
The purpose of this paper is to establish mixing rates for infinite measure preserving almost Anosov diffeomorphisms on the two-dimensional torus. The main task is to establish reg…