Number of distinct sites visited by a random walk with internal states

DOI10.1007/s00440-010-0277-8zbMath1227.60092arXiv1603.07585OpenAlexW3104149198MaRDI QIDQ718890

Péter Nándori

Publication date: 27 September 2011

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07585

zbMATH Keywords

law of large numbersMarkov chainlocal limit theoremrandom walk with internal statesvisited points

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (3)

Recurrence properties of a special type of heavy-tailed random walk ⋮ Energy transfer and joint diffusion ⋮ Some Results and Problems for Anisotropic Random Walks on the Plane

Cites Work

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• Irreducible compositions and the first return to the origin of a random walk
• An almost sure invariance principle for the range of planar random walks
• The range of recurrent random walk in the plane
• Random walks with internal degrees of freedom
• Random walks with internal degrees of freedom

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