Linear and nonlinear phenomena in large interacting systems (Q1002143)

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scientific article; zbMATH DE number 5510471
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Linear and nonlinear phenomena in large interacting systems
scientific article; zbMATH DE number 5510471

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    Linear and nonlinear phenomena in large interacting systems (English)
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    24 February 2009
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    This short note summarizes new results on some phenomena which occur in large interacting systems. It refers mainly to Gibbs measures and systems of non-commutative fields; coercive inequalities for Hörmander type Markov generators, semilinear problems, nonlinear Markov semi-group, mutual relation between nonlinearity and entropy, and entropic switch. It is the continuation of a preceding paper by the author and \textit{P. Ługiewicz} [J. Funct. Anal. 247, No. 2, 438--476 (2007; Zbl 1128.58009)].
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    large interacting systems
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    coercive inequalities
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    Hörmander diffusion, nonlinear problems
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    entropic switch
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