Universality in Sherrington–Kirkpatrick's spin glass model
Philippe Carmona, Yueyun Hu (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Philippe Carmona, Yueyun Hu (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Rafał Latała, Krzysztof Oleszkiewicz (1995)
Colloquium Mathematicae
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Michael M. Erlihson, Boris L. Granovsky (2008)
Annales de l'I.H.P. Probabilités et statistiques
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We find limit shapes for a family of multiplicative measures on the set of partitions, induced by exponential generating functions with expansive parameters, ∼ , →∞, >0, where is a positive constant. The measures considered are associated with the generalized Maxwell–Boltzmann models in statistical mechanics, reversible coagulation–fragmentation processes and combinatorial structures, known as assemblies. We prove a central limit theorem for fluctuations...
Françoise Pène (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We consider the periodic planar Lorentz process with convex obstacles (and with finite horizon). In this model, a point particle moves freely with elastic reflection at the fixed convex obstacles. The random scenery is given by a sequence of independent, identically distributed, centered random variables with finite and non-null variance. To each obstacle, we associate one of these random variables. We suppose that each time the particle hits an obstacle, it wins the amount given by...
L. Kubik (1959)
Studia Mathematica
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Sanjar Aspandiiarov, Roudolf Iasnogorodski (1999)
Annales de l'I.H.P. Probabilités et statistiques
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A. Plucińska (1962)
Colloquium Mathematicae
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