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

Kerimov, A.2015-07-282015-07-282014-10-09http://hdl.handle.net/11693/12586We 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.EnglishClassical phase transitions (theory)Percolation problems (theory)Rigorous results in statistical mechanicsA disagreement-percolation type uniqueness condition for Gibbs states in models with long-range interactionArticle10.1088/1742-5468/2014/10/P100141742-5468