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

Manfred Denker; Kumiko Hattori

doi:10.1142/S0219493708002196

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

Manfred Denker
, Kumiko Hattori

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	155-172
Number of pages	18
Journal	Stochastics and Dynamics
Volume	8
Issue number	1
DOIs	https://doi.org/10.1142/S0219493708002196
State	Published - Mar 2008

All Science Journal Classification (ASJC) codes

Modeling and Simulation

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10.1142/S0219493708002196

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title = "Recurrence of self-repelling and self-attracting walks on the pre-sierpi{\'n}ski gasket and ℤ",

abstract = "We prove recurrence of self-repelling and self-attracting walks on the pre-Sierpi{\'n}ski gasket and ℤ. We also determine a set of parameters for which this walk defines infinite, σ-finite and ergodic measure preserving dynamical systems.",

author = "Manfred Denker and Kumiko Hattori",

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N2 - 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.

AB - 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.

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

Abstract

All Science Journal Classification (ASJC) codes

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