The fixed point of a generalization of the renormalization group maps for self-avoiding paths on gaskets

DOI10.1007/S10955-007-9283-3zbMath1147.82327arXivmath-ph/0610007OpenAlexW2103594478MaRDI QIDQ2370006

Tetsuya Hattori

Publication date: 21 June 2007

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0610007

zbMATH Keywords

renormalization groupSierpinski gasketself-avoiding pathsfixed point uniqueness

Mathematics Subject Classification ID

Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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
• Self-avoiding paths on the three dimensional Sierpinski gasket
• Renormalization group analysis of the self-avoiding paths on the \(d\)-dimensional Sierpiński gaskets
• Self-avoiding random walks: Some exactly soluble cases

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