Recurrence properties of a special type of heavy-tailed random walk

DOI10.1007/s10955-010-0116-4zbMath1223.60021arXiv1603.07586OpenAlexW3104024840MaRDI QIDQ629894

Péter Nándori

Publication date: 10 March 2011

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

Full work available at URL: https://arxiv.org/abs/1603.07586

zbMATH Keywords

recurrencerandom walklocal limit theoremheavy tail

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

Related Items (6)

Slow convergence in generalized central limit theorems ⋮ A random flight process associated to a Lorentz gas with variable density in a gravitational field ⋮ Fractional Edgeworth expansions for one-dimensional heavy-tailed random variables and applications ⋮ On \(1/f\) noise ⋮ A bound in the stable ($\alpha $), $1 < \alpha \le 2$, limit theorem for associated random variables with infinite variance ⋮ Uniformly expanding Markov maps of the real line: exactness and infinite mixing

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• Advanced statistical properties of dispersing billiards
• On Occupation Times for Markoff Processes
• Anomalous current in periodic Lorentz gases with infinite horizon

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