Locally perturbed random walks with unbounded jumps

DOI10.1007/S10955-010-0078-6zbMath1205.82083arXiv1009.3223OpenAlexW2036918895MaRDI QIDQ616230

Domokos Szász, Daniel Paulin

Publication date: 7 January 2011

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3223

zbMATH Keywords

infinite horizonweak convergenceBrownian motionrandom walklocal limit theoremlocal impurities

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Brownian motion (60J65) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (4)

A random flight process associated to a Lorentz gas with variable density in a gravitational field ⋮ Recurrence properties of a special type of heavy-tailed random walk ⋮ Limit behaviour of random walks on ℤ^mwith two-sided membrane ⋮ Uniformly expanding Markov maps of the real line: exactness and infinite mixing

Cites Work

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• Lorentz gas with thermostatted walls
• On skew Brownian motion
• Statistical properties of two-dimensional periodic Lorentz gas with infinite horizon
• Random walk in an inhomogeneous medium with local impurities
• Limit theorems for locally perturbed planar Lorentz processes
• Limit laws and recurrence for the planar Lorentz process with infinite horizon
• Anomalous current in periodic Lorentz gases with infinite horizon
• Kinetic transport in the two-dimensional periodic Lorentz gas
• Random Walk: A Modern Introduction
• Weak convergence of probability measures and random functions in the function space D[0,∞)

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