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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书目详细资料
主要作者: Sakhnovich, Lev A. (Author, http://id.loc.gov/vocabulary/relators/aut)
企业作者: SpringerLink (Online service)
格式: 电子 电子书
语言:English
出版: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
版:1st ed. 2012.
丛编:Operator Theory: Advances and Applications, 225
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在线阅读:https://doi.org/10.1007/978-3-0348-0356-4
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书本目录:
  • 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.