Localization and delocalization of random interfaces.
Velenik, Yvan (2006)
Probability Surveys [electronic only]
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Displaying similar documents to “On the proof of the Parisi formula by Guerra and Talagrand”
Localization and delocalization of random interfaces.
On constrained annealed bounds for pinning and wetting models.
Caravenna, Francesco, Giacomin, Giambattista (2005)
Electronic Communications in Probability [electronic only]
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Lifshitz tails for some non monotonous random models
Frédéric Klopp, Shu Nakamura (2007-2008)
Séminaire Équations aux dérivées partielles
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In this talk, we describe some recent results on the Lifshitz behavior of the density of states for non monotonous random models. Non monotonous means that the random operator is not a monotonous function of the random variables. The models we consider will mainly be of alloy type but in some cases we also can apply our methods to random displacement models.
One-dimensional random field Kac's model: localization of the phases.
Cassandro, Marzio, Orlandi, Enza, Picco, Pierre, Eulalia Vares, Maria (2005)
Electronic Journal of Probability [electronic only]
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A note on Talagrand's positivity principle.
Panchenko, Dmitriy (2007)
Electronic Communications in Probability [electronic only]
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A simple fluctuation lower bound for a disordered massless random continuous spin model in .
Külske, Christof, Orlandi, Enza (2006)
Electronic Communications in Probability [electronic only]
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One-dimensional random field Kac's model: weak large deviations principle.
Picco, Pierre, Orlandi, Enza (2009)
Electronic Journal of Probability [electronic only]
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Asymptotic behavior of the magnetization for the perceptron model
David Márquez-Carreras, Carles Rovira, Samy Tindel (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Equilibrium statistical mechanics of frustrated spin glasses : a survey of mathematical results
Dimitri Petritis (1996)
Annales de l'I.H.P. Physique théorique
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The square model for random groups
Tomasz Odrzygóźdź (2016)
Colloquium Mathematicae
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We introduce a new random group model called the square model: we quotient a free group on n generators by a random set of relations, each of which is a reduced word of length 4. We prove that, just as in the Gromov model, for densities > 1/2 a random group in the square model is trivial with overwhelming probability and for densities < 1/2 a random group is hyperbolic with overwhelming probability. Moreover, we show that for densities d < 1/3 a random group in the square model...