A disagreement-percolation type uniqueness condition for Gibbs states in models with long-range interaction

Files

8093.pdf (135.26 KB)

Date

2014-10-09

Authors

Kerimov, A.

Editor(s)

Advisor

Supervisor

Co-Advisor

Co-Supervisor

Instructor

BUIR Usage Stats
1
views
10
downloads

Citation Stats

  • Share

Series

Abstract

We extend a condition for the uniqueness of Gibbs states in terms of percolation in the coupling of two independent realizations to lattice spin models with long-range interactions and a not necessarily unique ground state. © 2014 IOP Publishing Ltd and SISSA Medialab srl.

Source Title

Journal of Statistical Mechanics: Theory and Experiment

Publisher

Institute of Physics Publishing

Course

Other identifiers

Book Title

Keywords

Classical phase transitions (theory), Percolation problems (theory), Rigorous results in statistical mechanics

Degree Discipline

Degree Level

Degree Name

Citation

Permalink

http://hdl.handle.net/11693/12586

Published Version (Please cite this version)

http://dx.doi.org/10.1088/1742-5468/2014/10/P10014

Collections

Scholarly Publications - Mathematics

Language

English

Type

Article