Kolmogorov extension theorem for non-probability measures on Cayley trees

DOI10.1142/s0129055x24500107zbMATH Open1546.60181MaRDI QIDQ6584163

Farhod Halimjonovich Haydarov

Publication date: 6 August 2024

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Cayley treeKolmogorov's extension theoremcylinder setsspin valuesnon-probability measures

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

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• Gibbs Measures on Cayley Trees
• A HC model with countable set of spin values: Uncountable set of Gibbs measures
• Stochastic differential equations. An introduction with applications.
• Nonprobability Gibbs measures for the HC model with a countable set of spin values for a “wand”-type graph on a Cayley tree

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