caa a22 4500 46789180X CHVBK 20180406152751.0 cr unu---uuuuu 170328e20060601xx s 000 0 eng 10.1007/s10955-006-9117-8 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9117-8 Analyticity and Mixing Properties for Random Cluster Model with q >0 on ℤ d [Elektronische Daten] [Aldo Procacci, Benedetto Scoppola] We study the Random Cluster Model on ℤ d for p near either 0 or 1 and for all q > 0 and we prove by mean of cluster expansion methods the analyticity of the pressure and finite connectivities in both regimes. These results are valid also in the regime q < 1 and they imply that percolation probability is strictly less than 1. Springer Science+Business Media, Inc., 2006 Random cluster model nationallicence cluster expansion nationallicence Procacci Aldo Departamento de Matemática UFMG, 30161-970, Belo Horizonte, MG, Brazil aut Scoppola Benedetto Dipartimento di Matematica, Universitá "Tor Vergata” di Roma, V.le della ricerca scientifica, 00100, Roma, Italy aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/6(2006-06-01), 1285-1310 0022-4715 123:6<1285 2006 123 10955 https://doi.org/10.1007/s10955-006-9117-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9117-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Procacci Aldo Departamento de Matemática UFMG, 30161-970, Belo Horizonte, MG, Brazil aut NATIONALLICENCE 700 1- Scoppola Benedetto Dipartimento di Matematica, Universitá "Tor Vergata” di Roma, V.le della ricerca scientifica, 00100, Roma, Italy aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/6(2006-06-01), 1285-1310 0022-4715 123:6<1285 2006 123 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer