RECURRENCE OF SELF-REPELLING AND SELF-ATTRACTING WALKS ON THE PRE-SIERPIŃSKI GASKET AND ℤ

DOI10.1142/S0219493708002196zbMath1149.60025MaRDI QIDQ3520448

Manfred Denker, Kumiko Hattori

Publication date: 26 August 2008

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

recurrenceSierpiński gasketinfinite invariant measureself-avoiding walkself-repelling walkself-attracting walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Self-similar stochastic processes (60G18) Nonsingular (and infinite-measure preserving) transformations (37A40)

Cites Work

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• Sur la récurrence des marches aléatoires unidimensionnelles en environnement aléatoire
• On the notion of recurrence in discrete stochastic processes
• Random walks in a random environment

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