Recurrent random walks and the absence of continuous symmetry breaking on graphs

DOI10.1007/BF02186284zbMath0828.60055MaRDI QIDQ1897060

Franz Merkl, Herbert Wagner

Publication date: 17 September 1995

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

zbMATH Keywords

graphssymmetry breakingGibbs statesrecurrent random walks

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (4)

Stochastic forms of non-negative matrices and Perron-regularity ⋮ Pairings and related symmetry notions ⋮ The three-dimensional \(O(n)\) \(\varphi^4\) model on a strip with free boundary conditions: exact results for a nontrivial dimensional crossover in the limit \(n\to\infty\) ⋮ Robust phase transitions for Heisenberg and other models on general trees

Cites Work

• Unnamed Item
• Isoperimetric inequalities and Markov chains
• On uniqueness of KmMS states of one-dimensional quantum lattice systems

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