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Levy Processes, Integral Equations, Statistical Physics: Connections and Interactions 2012 Edition
Contributor(s): Sakhnovich, Lev A. (Author)

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 ISBN: 3034803559     ISBN-13: 9783034803557
Publisher: Birkhauser
OUR PRICE: $94.99  

Binding Type: Hardcover - See All Available Formats & Editions
Published: July 2012
Qty:

Click for more in this series: Operator Theory: Advances and Applications
Additional Information
BISAC Categories:
- Mathematics | Mathematical Analysis
- Mathematics | Combinatorics
- Mathematics | Functional Analysis
Dewey: 519.282
Series: Operator Theory: Advances and Applications
Physical Information: 0.8" H x 6.2" W x 9.2" L (1.10 lbs) 246 pages
Features: Bibliography, Glossary
 
Descriptions, Reviews, Etc.
Publisher Description:
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.
 
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