Level set representation for the Gibbs states of the ferromagnetic Ising model

DOI10.1007/BF01192162zbMath0735.60105OpenAlexW1974085169MaRDI QIDQ1178979

Yasunari Higuchi

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01192162

zbMATH Keywords

Gibbs statecontinuity of the percolation probabilityexistence of a real-valued random field

Mathematics Subject Classification ID

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

Related Items

Coexistence of infinite \((*)\)-clusters. II: Ising percolation in two dimensions, A sharp transition for the two-dimensional Ising percolation

Cites Work

• Invariant measures for the multitype voter model
• Uniqueness of the infinite cluster for stationary Gibbs states
• Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation
• Density and uniqueness in percolation
• A correlation inequality for Markov processes in partially ordered state spaces
• Stochastic partial ordering
• On the continuity of the percolation probability function
• On the ferromagnetic and the percolative region of random spin systems
• The Existence of Probability Measures with Given Marginals
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