Nonmonotonic coexistence regions for the two-type Richardson model on graphs.
Deijfen, Maria, Häggström, Olle (2006)
Electronic Journal of Probability [electronic only]
Dolgopyat, Dmitry, Liverani, Carlangelo (2009)
Electronic Communications in Probability [electronic only]
Francis Comets (1987)
Annales de l'I.H.P. Probabilités et statistiques
Gravner, Janko, Griffeath, David (1997)
Experimental Mathematics
Amine Asselah, Paolo Dai Pra (1997)
Annales de l'I.H.P. Probabilités et statistiques
Ron Peled, Wojciech Samotij (2014)
Annales de l'I.H.P. Probabilités et statistiques
We consider the hard-core lattice gas model on and investigate its phase structure in high dimensions. We prove that when the intensity parameter exceeds , the model exhibits multiple hard-core measures, thus improving the previous bound of given by Galvin and Kahn. At the heart of our approach lies the study of a certain class of edge cutsets in , the so-called odd cutsets, that appear naturally as the boundary between different phases in the hard-core model. We provide a refined combinatorial...
Del Moral, P., Kouritzin, M.A., Miclo, L. (2001)
Electronic Journal of Probability [electronic only]
K. Urbanik (1958)
Studia Mathematica
Ph. Clément, A. Greven, J.-B. Baillon (1994)
Journal für die reine und angewandte Mathematik
Lev Greenberg, Dmitry Ioffe (2005)
Annales de l'I.H.P. Probabilités et statistiques
Chakrabarti, C.G. (1989)
International Journal of Mathematics and Mathematical Sciences
Caravenna, Francesco, Giacomin, Giambattista (2005)
Electronic Communications in Probability [electronic only]
Sturm, Anja (2003)
Electronic Journal of Probability [electronic only]
Sunder Sethuraman (2007)
Annales de l'I.H.P. Probabilités et statistiques
Jonasson, Johan (2001)
Electronic Journal of Probability [electronic only]
Sunder Sethuraman (2001)
Annales de l'I.H.P. Probabilités et statistiques
Kurkova, I., Popov, S., Vachkovskaia, M. (2004)
Electronic Journal of Probability [electronic only]
Friedli, Sacha, de Lima, Bernardo Nunes Borges, Sidoravicius, Vladas (2004)
Electronic Communications in Probability [electronic only]
M. E. Vares (1991)
Annales de l'I.H.P. Physique théorique
Adrienne W. Kemp, C. D. Kemp (1971)
Applicationes Mathematicae