Self-avoiding paths on the pre-Sierpinski gasket

DOI10.1007/BF01288555zbMath0694.60099OpenAlexW2007578149MaRDI QIDQ909367

Kumiko Hattori, Shigeo Kusuoka, Tetsuya Hattori

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01288555

zbMATH Keywords

statistical mechanicsthermodynamical limitself-avoiding pathscritical inverse temperaturepre-Sierpiński gasket

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items (13)

The fixed point of a generalization of the renormalization group maps for self-avoiding paths on gaskets ⋮ Spanning trees on the Sierpinski gasket ⋮ Scaling limits of loop-erased Markov chains on resistance spaces via a partial loop-erasing procedure ⋮ Resistance scaling and the number of spanning trees in self-similar lattices ⋮ Loop-erased random walk on the Sierpinski gasket ⋮ Dimer coverings on the Sierpinski gasket ⋮ A family of self-avoiding random walks interpolating the loop-erased random walk and a self-avoiding walk on the Sierpiński gasket ⋮ The exponent for the mean square displacement of self-avoiding random walk on the Sierpinski gasket ⋮ A Dirichlet space associated with consistent networks on the ring of \(p\)-adic integers ⋮ Self-avoiding process on the Sierpinski gasket ⋮ Hamiltonian walks on the Sierpinski gasket ⋮ ACYCLIC ORIENTATIONS ON THE SIERPINSKI GASKET ⋮ Self-avoiding paths on the three dimensional Sierpinski gasket

Cites Work

• Brownian motion on the Sierpinski gasket

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