Levy processes, integral equations, statistical physics : connections and interactions
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 applicat...
Enregistré dans:
| 主要作者: | |
|---|---|
| 格式: | Livre numérique |
| 語言: | Anglais |
| 出版: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2012. |
| 叢編: | Operator Theory: Advances and Applications
225 |
| 在線閱讀: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 提示: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Levy processes, integral equations, statistical physics, connections and interactions, Lev A. Sakhnovich, Basel, Birkhäuser, Springer, 2012, 1 vol. (IX-245 p.), Operator theory, 978-3-0348-0355-7 • Levy Processes, Integral Equations, Statistical Physics: Connections and Interactions, Texte imprimé, 9783034803571 • Levy Processes, Integral Equations, Statistical Physics: Connections and Interactions, Texte imprimé, 9783034808019 • Levy processes, integral equations, statistical physics, connections and interactions, Lev A. Sakhnovich, Basel, Birkhäuser, Springer, 2012, 1 vol. (IX-245 p.), Operator theory, 978-3-0348-0355-7 |
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| 100 | 1 | |a Sakhnovich, Lev A. | |
| 245 | 1 | 0 | |a Levy processes, integral equations, statistical physics : |b connections and interactions |c by Lev A. Sakhnovich. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Operator Theory: Advances and Applications |v 225 |x 2296-4878 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 776 | 0 | |0 168879131 |t Levy processes, integral equations, statistical physics |o connections and interactions |f Lev A. Sakhnovich |c Basel |n Birkhäuser |n Springer |d 2012 |p 1 vol. (IX-245 p.) |s Operator theory |z 978-3-0348-0355-7 | |
| 776 | 0 | |t Levy Processes, Integral Equations, Statistical Physics: Connections and Interactions |b Texte imprimé |z 9783034803571 | |
| 776 | 0 | |t Levy Processes, Integral Equations, Statistical Physics: Connections and Interactions |b Texte imprimé |z 9783034808019 | |
| 776 | 0 | |0 168879131 |t Levy processes, integral equations, statistical physics |o connections and interactions |f Lev A. Sakhnovich |c Basel |n Birkhäuser |n Springer |d 2012 |p 1 vol. (IX-245 p.) |s Operator theory |z 978-3-0348-0355-7 | |
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