Potential kernel, hitting probabilities and distributional asymptotics
From MaRDI portal
Publication:5113038
DOI10.1017/etds.2018.136zbMath1451.60089arXiv1702.06625OpenAlexW2962835184MaRDI QIDQ5113038
Damien Thomine, Françoise Pène
Publication date: 10 June 2020
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.06625
central limit theoreminfinite measureprobabilistic potential theoryclassical ergodic theorynull recurrent process
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Dynamical aspects of measure-preserving transformations (37A05) Probabilistic potential theory (60J45) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
Related Items (6)
Sharp error term in local limit theorems and mixing for Lorentz gases with infinite horizon ⋮ Local limit theorem for randomly deforming billiards ⋮ Hitting times and positions in rare events ⋮ Central limit theorems for the \(\mathbb{Z}^2\)-periodic Lorentz gas ⋮ Probabilistic potential theory and induction of dynamical systems ⋮ Infinite measure mixing for some mechanical systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Operator renewal theory and mixing rates for dynamical systems with infinite measure
- Local time and first return time for periodic semi-flows
- Planar Lorentz process in a random scenery
- Limit theorems for Lévy processes and Poisson point processes and their applications to Brownian excursions
- Closed orbits in homology classes
- Distributional limit theorems in infinite ergodic theory
- Unique ergodicity for non-uniqueli ergodic horocycle flows
- Fluctuations of ergodic sums for horocycle flows on \(\mathbb Z^d\)-covers of finite volume surfaces
- Almost sure invariance principle for dynamical systems by spectral methods
- Asymptotic of the number of obstacles visited by the planar Lorentz process
- A limit theorem for sums of random number of i.i.d. random variables and its application to occupation times of Markov chains
- On the character of convergence to Brownian local time. I
- On the character of convergence to Brownian local time. II
- Théorèmes limites pour une classe de chaînes de Markov et applications aux difféomorphismes d'Anosov. (Limit theorems for a class of Markov chains and applications to Anosov diffeomorphisms)
- Statistical properties of Lorentz gas with periodic configuration of scatterers
- Strong approximation of additive functionals
- Statistical properties of dynamical systems with some hyperbolicity
- Recurrence times and rates of mixing
- Characteristic functions of random variables attracted to 1-stable laws
- Orbit counting for some discrete groups acting on simply connected manifolds with negative curvature
- Subexponential decay of correlations
- Limit theorems for locally perturbed planar Lorentz processes
- Limit theory for some positive stationary processes with infinite mean
- A generalized central limit theorem in infinite ergodic theory
- Limit laws and recurrence for the planar Lorentz process with infinite horizon
- Mixing limit theorems for ergodic transformations
- Recurrence properties of planar Lorentz process
- Statistical properties of two-dimensional hyperbolic billiards
- Closed orbits in homology classes for Anosov flows
- Variations on a central limit theorem in infinite ergodic theory
- On Occupation Times for Markoff Processes
- Equilibrium states in negative curvature
- AN INTRODUCTION TO QUANTITATIVE POINCARÉ RECURRENCE IN DYNAMICAL SYSTEMS
- Lalley's theorem on periodic orbits of hyperbolic flows
- The Poincaré series of $\mathbb C\setminus\mathbb Z$
- LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS
- Symbolic Dynamics for Hyperbolic Flows
- A limit theorem for sojourns near indifferent fixed points of one-dimensional maps
- Some Theorems on Functionals of Markov Chains
- Entry and return times distribution
- Occupation Times for Markov and Semi-Markov Chains
- On the notion of recurrence in discrete stochastic processes
- Induced measure preserving transformations
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Invariant measures for the horocycle flow on periodic hyperbolic surfaces
- Asymptotic independence and additive functionals
- Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness
This page was built for publication: Potential kernel, hitting probabilities and distributional asymptotics
