Percolation in half spaces and Markov fields on branching planes.

We study two sets of models: independent percolation models in half spaces Zᵈ⁻¹ x Z₊, and Ising/Potts models as well as the Fortuin-Kasteleyn (FK) random cluster models on branching planes T x Z, where Z is the one-dimensional lattice, Z₊ = {0,1,2,...} and T is a Bethe lattice. We prove that for ind...

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Bibliographic Details
Main Author: Wu, Chuntao.
Other Authors: Newman, Charles M.
Language:en
Published: The University of Arizona. 1990
Subjects:
Online Access:http://hdl.handle.net/10150/185296