Self-avoiding process on the Sierpinski gasket

DOI10.1007/BF01192550zbMath0722.60105MaRDI QIDQ756300

Tetsuya Hattori, Kumiko Hattori

Publication date: 1991

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

Sierpinski gasketstatistical mechanicsself-avoiding paths

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (6)

The fixed point of a generalization of the renormalization group maps for self-avoiding paths on gaskets ⋮ Scaling limits of loop-erased Markov chains on resistance spaces via a partial loop-erasing procedure ⋮ 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 ⋮ Self-avoiding paths on the three dimensional Sierpinski gasket

Cites Work

• Unnamed Item
• Self-avoiding paths on the pre-Sierpinski gasket
• Brownian motion on the Sierpinski gasket
• Random Recursive Constructions: Asymptotic Geometric and Topological Properties
• Spectral dimension of a wire network

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