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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Springer Basel : Imprint: Birkhäuser,
2012.
|
| Edición: | 1st ed. 2012. |
| Colección: | Operator Theory: Advances and Applications,
225 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-0348-0356-4 | ||
| 003 | DE-He213 | ||
| 005 | 20220110193443.0 | ||
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| 020 | |a 9783034803564 |9 978-3-0348-0356-4 | ||
| 024 | 7 | |a 10.1007/978-3-0348-0356-4 |2 doi | |
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| 082 | 0 | 4 | |a 515.45 |2 23 |
| 100 | 1 | |a Sakhnovich, Lev A. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Levy Processes, Integral Equations, Statistical Physics: Connections and Interactions |h [electronic resource] / |c by Lev A. Sakhnovich. |
| 250 | |a 1st ed. 2012. | ||
| 264 | 1 | |a Basel : |b Springer Basel : |b Imprint: Birkhäuser, |c 2012. | |
| 300 | |a X, 246 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Operator Theory: Advances and Applications, |x 2296-4878 ; |v 225 | |
| 505 | 0 | |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. | |
| 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. | ||
| 650 | 0 | |a Integral equations. | |
| 650 | 0 | |a Discrete mathematics. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 1 | 4 | |a Integral Equations. |
| 650 | 2 | 4 | |a Discrete Mathematics. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783034803571 |
| 776 | 0 | 8 | |i Printed edition: |z 9783034808019 |
| 776 | 0 | 8 | |i Printed edition: |z 9783034803557 |
| 830 | 0 | |a Operator Theory: Advances and Applications, |x 2296-4878 ; |v 225 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-0348-0356-4 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||