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

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Sakhnovich, Lev A. 作者

Birkhauser

译者

2012-7 出版日期

254 页数

$ 123.17 价格

丛书系列

9783034803557 图书编码

Levy Processes, Integral Equations, Statistical Physics 在线电子书图书标签: 数学物理数学

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Levy Processes, Integral Equations, Statistical Physics 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 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.

Levy Processes, Integral Equations, Statistical Physics 在线电子书下载 mobi epub pdf txt 在线电子书下载

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