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