Self-avoiding paths on the three dimensional Sierpinski gasket

DOI10.2977/prims/1195167053zbMath0795.60036OpenAlexW2032447648MaRDI QIDQ1311664

Shigeo Kusuoka, Tetsuya Hattori, Kumiko Hattori

Publication date: 29 August 1994

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195167053

zbMATH Keywords

Hausdorff dimensionself-avoiding pathsalmost surely self-avoidingpre-Sierpinski gasket

Mathematics Subject Classification ID

Stochastic processes (60G99) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Markov processes (60J99)

Related Items (5)

Asymptotically one-dimensional diffusions on the Sierpinski gasket and the \(abc\)-gaskets ⋮ The fixed point of a generalization of the renormalization group maps for self-avoiding paths on gaskets ⋮ Loop-erased random walk on the Sierpinski gasket ⋮ A multi-parameter family of self-avoiding walks on the Sierpiński gasket ⋮ A family of self-avoiding random walks interpolating the loop-erased random walk and a self-avoiding walk on the Sierpiński gasket

Cites Work

• Unnamed Item
• Self-avoiding process on the Sierpinski gasket
• Self-avoiding paths on the pre-Sierpinski gasket
• The exponent for the mean square displacement of self-avoiding random walk on the Sierpinski gasket
• Random Recursive Constructions: Asymptotic Geometric and Topological Properties
• Self-avoiding random walks: Some exactly soluble cases

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