Spontaneous breaking of continuous rotational symmetry in two dimensions.
Merkl, Franz, Rolles, Silke W.W. (2009)
Electronic Journal of Probability [electronic only]
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Merkl, Franz, Rolles, Silke W.W. (2009)
Electronic Journal of Probability [electronic only]
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Garet, Olivier (2005)
Mathematical Physics Electronic Journal [electronic only]
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Paolo Dai Pra, Pierre-Yves Louis, Sylvie Rœlly (2002)
ESAIM: Probability and Statistics
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We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary measures (or phase transition) for reversible models.
Cancrini, Nicoletta, Cesi, Filippo, Roberto, Cyril (2005)
Electronic Journal of Probability [electronic only]
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Peter Eichelsbacher, Tomasz Schreiber (2010)
ESAIM: Probability and Statistics
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Functionals of spatial point process often satisfy a weak spatial dependence condition known as . In this paper we prove process level moderate deviation principles (MDP) for such functionals, which is a level-3 result for empirical point fields as well as a level-2 result for empirical point measures. The level-3 rate function coincides with the so-called specific information. We show that the general result can be applied to prove MDPs for various particular functionals, including...
Penrose, Mathew D. (2008)
Probability Surveys [electronic only]
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Schuhmacher, Dominic (2009)
Electronic Journal of Probability [electronic only]
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Heveling, Matthias, Last, Günter (2007)
Electronic Journal of Probability [electronic only]
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Paolo Dai Pra (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Caravenna, Francesco, Giacomin, Giambattista (2005)
Electronic Communications in Probability [electronic only]
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Ferrari, Pablo A., Marić, Nevena (2007)
Electronic Journal of Probability [electronic only]
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