Recurrence of self-repelling and self-attracting walks on the pre-sierpiński gasket and ℤ

Manfred Heinz Denker, Kumiko Hattori

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

We prove recurrence of self-repelling and self-attracting walks on the pre-Sierpiński gasket and ℤ. We also determine a set of parameters for which this walk defines infinite, σ-finite and ergodic measure preserving dynamical systems.

Original languageEnglish (US)
Pages (from-to)155-172
Number of pages18
JournalStochastics and Dynamics
Volume8
Issue number1
DOIs
StatePublished - Mar 1 2008

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation

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