Levy Processes, Integral Equations, Statistical Physics pdf epub mobi txt 电子书 下载 2024


Levy Processes, Integral Equations, Statistical Physics

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Sakhnovich, Lev A.
Birkhauser
2012-7
254
$ 123.17
9783034803557

图书标签: 数学物理  数学   


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发表于2024-12-25

Levy Processes, Integral Equations, Statistical Physics epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Levy Processes, Integral Equations, Statistical Physics epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Levy Processes, Integral Equations, Statistical Physics pdf epub mobi txt 电子书 下载 2024



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In a number of famous works, M. Kac showed that various methods of probability theory can be fruitfully applied to important problems of analysis. The interconnection between probability and analysis also plays a central role in the present book. However, our approach is mainly based on the application of analysis methods (the method of operator identities, integral equations theory, dual systems, integrable equations) to probability theory (Levy processes, M. Kac's problems, the principle of imperceptibility of the boundary, signal theory). The essential part of the book is dedicated to problems of statistical physics (classical and quantum cases). We consider the corresponding statistical problems (Gibbs-type formulas, non-extensive statistical mechanics, Boltzmann equation) from the game point of view (the game between energy and entropy). One chapter is dedicated to the construction of special examples instead of existence theorems (D. Larson's theorem, Ringrose's hypothesis, the Kadison-Singer and Gohberg-Krein questions). We also investigate the Bezoutiant operator. In this context, we do not make the assumption that the Bezoutiant operator is normally solvable, allowing us to investigate the special classes of the entire functions.

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