On the stability of interacting processes with applications to filtering and genetic algorithms
Pierre Del Moral, Alice Guionnet (2001)
Annales de l'I.H.P. Probabilités et statistiques
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Pierre Del Moral, Alice Guionnet (2001)
Annales de l'I.H.P. Probabilités et statistiques
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P. Gonçalves, C. Landim, C. Toninelli (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We study the hydrodynamic limit for some conservative particle systems with degenerate rates, namely with nearest neighbor exchange rates which vanish for certain configurations. These models belong to the class of (KCLG) which have been introduced and intensively studied in physical literature as simple models for the liquid/glass transition. Due to the degeneracy of rates there exist which do not evolve under the dynamics and in general the hyperplanes of configurations with a fixed...
Pierre Del Moral, Nicolas G. Hadjiconstantinou (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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This special volume of the ESAIM Journal, , contains a collection of articles on probabilistic interpretations of some classes of nonlinear integro-differential equations. The selected contributions deal with a wide range of topics in applied probability theory and stochastic analysis, with applications in a variety of scientific disciplines, including physics, biology, fluid mechanics, molecular chemistry, financial mathematics and bayesian statistics. In this preface, we provide...
A. Gaudillière, J. Reygner (2011)
Annales de l'I.H.P. Probabilités et statistiques
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Through a Metropolis-like algorithm with single step computational cost of order one, we build a Markov chain that relaxes to the canonical Fermi statistics for non-interacting particles among energy levels. Uniformly over the temperature as well as the energy values and degeneracies of the energy levels we give an explicit upper bound with leading term ln for the mixing time of the dynamics. We obtain such construction and upper bound as a special case of a general result on (non-homogeneous)...
Mustapha Mourragui, Enza Orlandi (2007)
Annales de l'I.H.P. Probabilités et statistiques
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