Continuous Versus Discrete Spins in the Hyperbolic Plane

Itai Benjamini; Gady Kozma

doi:10.1007/s10955-017-1784-0

Continuous Versus Discrete Spins in the Hyperbolic Plane

Itai Benjamini, Gady Kozma

Department of Mathematics

Weizmann Institute of Science

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

Abstract

We study the O(n) model on graphs quasi-isometric to the hyperbolic plane, with free boundary conditions. We observe that the pair correlation decays exponentially with distance, for all temperatures, if and only if n> 1.

Original language	English
Pages (from-to)	11-14
Number of pages	4
Journal	Journal of Statistical Physics
Volume	168
Issue number	1
DOIs	https://doi.org/10.1007/s10955-017-1784-0
State	Published - 1 Jul 2017

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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Cite this

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abstract = "We study the O(n) model on graphs quasi-isometric to the hyperbolic plane, with free boundary conditions. We observe that the pair correlation decays exponentially with distance, for all temperatures, if and only if n> 1.",

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Continuous Versus Discrete Spins in the Hyperbolic Plane

Abstract

All Science Journal Classification (ASJC) codes

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