Ising models on the lattice Sierpiński gasket.

DOI10.1007/BF02179588zbMath0880.60097MaRDI QIDQ1372202

Nobuo Yoshida, Yasunari Higuchi

Publication date: 11 November 1997

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

zbMATH Keywords

phase transitionsIsing modelsDobrushin-Shlosman mixing conditionIsing models on Sierpinski carpetlattice Mandelbrot fractalramified fractals

Mathematics Subject Classification ID

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

Related Items (1)

Approximating the Ising model on fractal lattices of dimension less than two

Cites Work

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• Log-Sobolev inequalities for infinite one-dimensional lattice systems
• Rapid convergence to equilibrium in one dimensional stochastic Ising models
• The equivalence of the logarithmic Sobolev inequality and the Dobrushin- Shlosman mixing condition
• The logarithmic Sobolev inequality for discrete spin systems on a lattice
• Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics

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