Ising models on the Lobachevsky plane

C. M. Series; Ya G. Sinai

doi:10.1007/BF02097045

Ising models on the Lobachevsky plane

C. M. Series, Ya G. Sinai

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

We consider the Ising model on a lattice which is the orbit of a discrete cocompact group acting on the hyperbolic plane. For large values of the inverse temperature we construct an uncountable number of mutually singular Gibbs states.

Original language	English (US)
Pages (from-to)	63-76
Number of pages	14
Journal	Communications In Mathematical Physics
Volume	128
Issue number	1
DOIs	https://doi.org/10.1007/BF02097045
State	Published - Mar 1990

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02097045

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title = "Ising models on the Lobachevsky plane",

abstract = "We consider the Ising model on a lattice which is the orbit of a discrete cocompact group acting on the hyperbolic plane. For large values of the inverse temperature we construct an uncountable number of mutually singular Gibbs states.",

author = "Series, {C. M.} and Sinai, {Ya G.}",

year = "1990",

month = mar,

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language = "English (US)",

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AB - We consider the Ising model on a lattice which is the orbit of a discrete cocompact group acting on the hyperbolic plane. For large values of the inverse temperature we construct an uncountable number of mutually singular Gibbs states.

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JF - Communications in Mathematical Physics

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Ising models on the Lobachevsky plane

Abstract

All Science Journal Classification (ASJC) codes

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