D. Terhesiu

activity

20102026

most citedOperator renewal theory and mixing rates for dynamical systems with infinite measure

69 citations · 85 across the 26 of their papers we have counts for

collaborators

35 papers

math.DS2026

Multivariate stable mixing local limit theorem for intermittent diffeomorphisms and flows

Ian Melbourne, Françoise Pène, Dalia Terhesiu

We prove mixing local limit theorems for dynamical systems in the superdiffusive regime where there is convergence to a multivariate stable law (including the nonstandard domain of…

math.PR2025

Error Rates for Large Deviations in the domain of an $α = 1$ stable law

Jonny Imbierski, Dalia Terhesiu

We obtain error rates for large deviations of sums of i.i.d. random variables in, a particular case, of the domain of a non-symmetric infinite mean $α = 1$ -stable law. The focus of t…

math.DS2024

On some random billiards in a tube with superdiffusion

Henk Bruin, Niels Kolenbrander, Dalia Terhesiu

We consider a class of random billiards in a tube, where reflection angles at collisions with the boundary of the tube are random variables rather than deterministic (and elastic)…

math.DS2024★ 1 cited

On asymptotic expansions of ergodic integrals for $Z^{d}$ -extensions of translation flows

Henk Bruin, Charles Fougeron, Davide Ravotti +1

We obtain expansions of ergodic integrals for $Z^{d}$ -covers of compact self-similar translation flows, and as a consequence we obtain a form of weak rational ergodicity with optima…

math.DS2023

Hölder continuity of measures for heavy tail potentials

Godofredo Iommi, Dalia Terhesiu, Mike Todd

For a class of potentials $ψ$ satisfying a condition depending on the roof function of a suspension (semi)flow, we show an EKP inequality, which can be interpreted as a Hölder cont…

math.DS2023

Strong mixing for the periodic Lorentz gas flow with infinite horizon

Françoise Pène, Dalia Terhesiu

We establish strong mixing for the $Z^{d}$ -periodic, infinite horizon, Lorentz gas flow for continuous observables with compact support. The essential feature of this natural…

math.PR2022

Stable large deviations for deterministic dynamical systems

Jonny Imbierski, Dalia Terhesiu

We obtain large deviations for a class of dependent random variables in the domain of attraction of an $α$ -stable law, $α \in (0, 1) \cup (1, 2]$ . This class includes ergodic sums of…

math.DS2021

Local large deviations for periodic infinite horizon Lorentz gases

Ian Melbourne, Francoise Pene, Dalia Terhesiu

We prove local large deviations for the periodic infinite horizon Lorentz gas viewed as a $Z^{d}$ -cover ( $d = 1, 2$ ) of a dispersing billiard. In addition to this specific exa…

math.PR2021

Lorentz gas with small scatterers

Péter Bálint, Henk Bruin, Dalia Terhesiu

We prove limit laws for infinite horizon planar periodic Lorentz gases when, as time $n$ tends to infinity, the scatterer size $ρ$ may also tend to zero simultaneously at a suffici…

math.DS2021

Nonexistence of spectral gaps in Hölder spaces for continuous time dynamical systems

Ian Melbourne, Nicolo Paviato, Dalia Terhesiu

We show that there is a natural restriction on the smoothness of spaces where the transfer operator for a continuous dynamical system has a spectral gap. Such a space cannot be emb…

math.DS2021

Decay in norm of transfer operators for semiflows

Ian Melbourne, Nicolo Paviato, Dalia Terhesiu

We establish exponential decay in Hölder norm of transfer operators applied to smooth observables of uniformly and nonuniformly expanding semiflows with exponential decay of correl…

math.PR2020

Analytic proof of multivariate stable local large deviations and application to deterministic dynamical systems

Ian Melbourne, Dalia Terhesiu

We give a short analytic proof of local large deviations for i.i.d. random variables in the domain of a multivariate $α$ -stable law, $α \in (0, 1) \cup (1, 2]$ . Our method simultaneously…

math.PR2020

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…

math.DS2020★ 15 cited

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…

math.DS2019

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…

math.DS2019

Krickeberg mixing for Z extensions of Gibbs Markov semiflows

Dalia Terhesiu

We obtain Krickeberg mixing for a class of Z extensions of Gibbs Markov semiflows with roof function and displacement function not in L2, where previous methods have not been emplo…

math.DS2018

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…

math.DS2018

Sharp polynomial bounds on decay of correlations for multidimensional nonuniformly hyperbolic systems and billiards

Henk Bruin, Ian Melbourne, Dalia Terhesiu

Gouezel and Sarig introduced operator renewal theory as a method to prove sharp results on polynomial decay of correlations for certain classes of nonuniformly expanding maps. In t…

math.DS2018

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…

math.DS2017

The pressure function for infinite equilibrium measures

Henk Bruin, Dalia Terhesiu, Mike Todd

Assume that $(X, f)$ is a dynamical system and $ϕ : X \to [- \infty, \infty)$ is a potential such that the $f$ -invariant measure $μ_{ϕ}$ equivalent to $ϕ$ -conformal measure is infinite,…

math.DS2017

Local limit theorems for suspended semiflows

Jon. Aaronson, Dalia Terhesiu

We prove local limit theorems for a cocycle over a semiflow by establishing topological, mixing properties of the associated skew product semiflow. We also establish conditional ra…

math.DS2017

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…

math.PR2017

Non trivial limit distributions for transient renewal chains

Dalia Terhesiu

In this work we study the asymptotic of renewal sequences associated with certain transient renewal Markov chains and enquire about the existence of limit laws in this set up.

math.DS2017

Renewal theorems and mixing for non Markov flows with infinite measure

Ian Melbourne, Dalia Terhesiu

We obtain results on mixing for a large class of (not necessarily Markov) infinite measure semiflows and flows. Erickson proved, amongst other things, a strong renewal theorem in t…

Multivariate stable mixing local limit theorem for intermittent diffeomorphisms and flows

Error Rates for Large Deviations in the domain of an α=1 stable law

On some random billiards in a tube with superdiffusion

On asymptotic expansions of ergodic integrals for Zd-extensions of translation flows

Hölder continuity of measures for heavy tail potentials

Strong mixing for the periodic Lorentz gas flow with infinite horizon

Stable large deviations for deterministic dynamical systems

Local large deviations for periodic infinite horizon Lorentz gases

Lorentz gas with small scatterers

Nonexistence of spectral gaps in Hölder spaces for continuous time dynamical systems

Decay in norm of transfer operators for semiflows

Analytic proof of multivariate stable local large deviations and application to deterministic dynamical systems

Strong renewal theorem and local limit theorem in the absence of regular variation

Sharp error term in local limit theorems and mixing for Lorentz gases with infinite horizon

Limit theorems for wobbly interval intermittent maps

Krickeberg mixing for Z extensions of Gibbs Markov semiflows

Pressure function and limit theorems for almost Anosov flows

Sharp polynomial bounds on decay of correlations for multidimensional nonuniformly hyperbolic systems and billiards

Darling-Kac theorem for renewal shifts in the absence of regular variation

The pressure function for infinite equilibrium measures

Local limit theorems for suspended semiflows

Regular variation and rates of mixing for infinite measure preserving almost Anosov diffeomorphisms

Non trivial limit distributions for transient renewal chains

Renewal theorems and mixing for non Markov flows with infinite measure

Error Rates for Large Deviations in the domain of an $α = 1$ stable law

On asymptotic expansions of ergodic integrals for $Z^{d}$ -extensions of translation flows