<電子ブック>
Levy Processes, Integral Equations, Statistical Physics: Connections and Interactions / by Lev A. Sakhnovich
(Operator Theory: Advances and Applications. ISSN:22964878 ; 225)
版 | 1st ed. 2012. |
---|---|
出版者 | (Basel : Springer Basel : Imprint: Birkhäuser) |
出版年 | 2012 |
本文言語 | 英語 |
大きさ | X, 246 p : online resource |
著者標目 | *Sakhnovich, Lev A author SpringerLink (Online service) |
件 名 | LCSH:Integral equations LCSH:Discrete mathematics LCSH:Functional analysis FREE:Integral Equations FREE:Discrete Mathematics FREE:Functional Analysis |
一般注記 | Introduction -- 1 Levy processes -- 2 The principle of imperceptibility of the boundary -- 3 Approximation of positive functions -- 4 Optimal prediction and matched filtering -- 5 Effective construction of a class of non-factorable operators -- 6 Comparison of thermodynamic characteristics -- 7 Dual canonical systems and dual matrix string equations -- 8 Integrable operators and Canonical Differential Systems -- 9 The game between energy and entropy -- 10 Inhomogeneous Boltzmann equations -- 11 Operator Bezoutiant and concrete examples -- Comments -- Bibliography -- Glossary -- Index 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 HTTP:URL=https://doi.org/10.1007/978-3-0348-0356-4 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783034803564 |
|
電子リソース |
|
EB00228692 |
類似資料
この資料の利用統計
このページへのアクセス回数:3回
※2017年9月4日以降