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...
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| Главный автор: | |
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| Соавтор: | |
| Формат: | Электронный ресурс eКнига |
| Язык: | English |
| Опубликовано: |
Basel :
Springer Basel : Imprint: Birkhäuser,
2012.
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| Редактирование: | 1st ed. 2012. |
| Серии: | Operator Theory: Advances and Applications,
225 |
| Предметы: | |
| Online-ссылка: | https://doi.org/10.1007/978-3-0348-0356-4 |
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Оглавление:
- 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.