Lectures on Probability Theory and Statistics: Ecole D' Ete de Probabilites de St. Flour XXIV - 1994
Springer, Dec 10, 1996 - Mathematics - 300 pages
Contents: R. Dobrushin: Perturbation Methods of the Theory of Gibbsian Fields.- P. Groeneboom: Lectures on Inverse Problems.- M. Ledoux: Isoperimetry and Gaussian Analysis.
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F RTURBATION METHODS OF
Reduction to the animal model Inhomogeneous Markov chains
Reduction to the animal model Ising model
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actually animal animal model applications approach Assume asymptotic ball Banach space bounded called chapter characteristic function classical cluster complete concentration condition connected consider constant construction continuous contour convergence convex corresponding defined definition denote density depending derivation differentiable discussed distance distribution function edges elements equal equation estimate example exists expansion fields finite fixed follows Gaussian Gaussian measures given graph Hence implies independent inequality integral interval censoring inverse isoperimetric inequality jump Lemma limit Markov chain mean measure methods norm Note NPMLE observation obtained pair particular partition function points polymer possible probability probability distribution problem proof properties Proposition prove random variables recall relation respect result satisfies sequence similar situation smooth space statistical subset Theorem theory Université values variance weights