Limit theorems for additive functionals of a Markov chain
type: Item
instance of: scholarly article
title: Limit theorems for additive functionals of a Markov chain
zbMATH Open document ID: 1232.60018
DOI: 10.1214/09-AAP610
author: M. Jara
author: Tomasz Komorowski
author: Stefano Olla
published in: The Annals of Applied Probability
publication date: 2010-01-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/0809.0177
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60F17
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 60J10
zbMATH DE Number: 5656819
zbMATH Keywords: stable laws
zbMATH Keywords: self-similar Lévy processes
zbMATH Keywords: limit theorems
zbMATH Keywords: linear Boltzmann equation
zbMATH Keywords: fractional heat equation
zbMATH Keywords: anomalous heat transport
MaRDI profile type: Publication
arXiv ID: 0809.0177
cites work: Radiative transport limit for the random Schrödinger equation
cites work: Energy transport in stochastically perturbed lattice dynamics
cites work: Martingale Convergence to Infinitely Divisible Laws with Finite Variances
cites work: On additive functionals of Markov chains
cites work: An invariance principle for reversible Markov processes. Applications to random motions in random environments
cites work: The central limit theorem for Markov chains started at a point
cites work: Sur deux problèmes de M. Kolmogoroff concernant les chaînes dénombrables
cites work: Q3999383
cites work: Functional limit theorems for dependent variables
cites work: Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation
cites work: Q3721531
cites work: White-noise and geometrical optics limits of Wigner-Moyal equation for wave beams in turbulent media
cites work: Wave propagation and time reversal in randomly layered media.
cites work: Antisymmetric functionals of reversible Markov processes
cites work: Q5614322
cites work: Q4223675
cites work: Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
cites work: Q4531961
cites work: Kinetic limit for wave propagation in a random medium
cites work: Central limit theorems for additive functionals of Markov chains.
cites work: Fractional diffusion limit for collisional kinetic equations
cites work: Q3245608
cites work: Q4422832
cites work: Q4937701
cites work: Derivation of the transport equation for electrons moving through random impurities
OpenAlex ID: W3103197793
description: scientific article