A multi-parameter family of self-avoiding walks on the Sierpiński gasket

DOI10.3836/TJM/1502179338zbMath1472.60080OpenAlexW3153170378MaRDI QIDQ1984028

Takafumi Otsuka

Publication date: 13 September 2021

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1502179338

zbMATH Keywords

continuum limitasymptotic behaviorHausdorff dimensionSierpiński gasketfractalself-avoiding walkloop-erased random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Sample path properties (60G17) Fractals (28A80) Functional limit theorems; invariance principles (60F17) Renormalization of holomorphic dynamical systems (37F25)

Cites Work

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• Tauberian theorem of exponential type on limits of oscillation
• Self-repelling walk on the Sierpiński gasket
• Loop-erased random walk on the Sierpinski gasket
• Uniform spanning trees on Sierpinski graphs

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