Localization and delocalization of random interfaces.
Velenik, Yvan (2006)
Probability Surveys [electronic only]
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Displaying similar documents to “A simple fluctuation lower bound for a disordered massless random continuous spin model in .”
Localization and delocalization of random interfaces.
On the proof of the Parisi formula by Guerra and Talagrand
Erwin Bolthausen (2004-2005)
Séminaire Bourbaki
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The Parisi formula is an expression for the limiting free energy of the Sherrington-Kirkpatrick spin glass model, which had first been derived by Parisi using a non-rigorous replica method together with an hierarchical ansatz for the solution of the variational problem. It had become quickly clear that behind the solution, if correct, lies an interesting mathematical structure. The formula has recently been proved by Michel Talagrand based partly on earlier ideas and results by Francesco...
Random walks with -wise independent increments.
Benjamini, Itai, Kozma, Gady, Romik, Dan (2006)
Electronic Communications in Probability [electronic only]
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Random walks in a Dirichlet environment.
Enriquez, Nathanaël, Sabot, Christophe (2006)
Electronic Journal of Probability [electronic only]
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Upper tails of self-intersection local times of random walks: survey of proof techniques
Wolfgang König (2010)
Actes des rencontres du CIRM
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The asymptotics of the probability that the self-intersection local time of a random walk on exceeds its expectation by a large amount is a fascinating subject because of its relation to some models from Statistical Mechanics, to large-deviation theory and variational analysis and because of the variety of the effects that can be observed. However, the proof of the upper bound is notoriously difficult and requires various sophisticated techniques. We survey some heuristics and some...
Recurrence and transience for long-range reversible random walks on a random point process.
Caputo, Pietro, Faggionato, Alessandra, Gaudilliere, Alexandre (2009)
Electronic Journal of Probability [electronic only]
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Annealed vs quenched critical points for a random walk pinning model
Matthias Birkner, Rongfeng Sun (2010)
Annales de l'I.H.P. Probabilités et statistiques
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We study a random walk pinning model, where conditioned on a simple random walk on ℤ acting as a random medium, the path measure of a second independent simple random walk up to time is Gibbs transformed with hamiltonian − (, ), where (, ) is the collision local time between and up to time . This model arises naturally in various contexts, including the study of the parabolic Anderson model with moving catalysts, the parabolic Anderson model with brownian...
Mixing times for random walks on finite lamplighter groups.
Peres, Yuval, Revelle, David (2004)
Electronic Journal of Probability [electronic only]
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Homomorphisms to constructed from random walks
Anna Erschler, Anders Karlsson (2010)
Annales de l’institut Fourier
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We give a construction of homomorphisms from a group into the reals using random walks on the group. The construction is an alternative to an earlier construction that works in more general situations. Applications include an estimate on the drift of random walks on groups of subexponential growth admitting no nontrivial homomorphism to the integers and inequalities between the asymptotic drift and the asymptotic entropy. Some of the entropy estimates obtained have applications independent...