A Manifold of Pure Gibbs States of the Ising Model on the Lobachevsky Plane

Daniel Gandolfo, Jean Ruiz, Senya Shlosman

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

In this paper we construct many ‘new’ Gibbs states of the Ising model on the Lobachevsky plane, the millefeuilles. Unlike the usual states on the integer lattices, our foliated states have infinitely many interfaces. The interfaces are rigid and fill the Lobachevsky plane with positive density. We also construct analogous states on the Cayley trees.

Original languageEnglish
Pages (from-to)313-330
Number of pages18
JournalCommunications in Mathematical Physics
Volume334
Issue number1
DOIs
Publication statusPublished - 2014
Externally publishedYes

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