Probability and Related Topics in Physical Sciences
Author: Mark Kac
Publisher: American Mathematical Soc.
Published: 1959-12-31
Total Pages: 282
ISBN-13: 0821800477
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Author: Mark Kac
Publisher: American Mathematical Soc.
Published: 1959-12-31
Total Pages: 282
ISBN-13: 0821800477
DOWNLOAD EBOOKNothing provided
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Published: 1959
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DOWNLOAD EBOOKAuthor: Alston Scott Householder
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Published: 1959
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DOWNLOAD EBOOKAuthor: Mark Kac
Publisher:
Published: 1959
Total Pages: 266
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DOWNLOAD EBOOKAuthor: Mark Kac
Publisher:
Published: 1976
Total Pages: 266
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DOWNLOAD EBOOKAuthor:
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Published: 1999
Total Pages: 288
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DOWNLOAD EBOOKAuthor: Mark Kac
Publisher:
Published: 1957
Total Pages:
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DOWNLOAD EBOOKAuthor:
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Published: 1959
Total Pages: 266
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DOWNLOAD EBOOKAuthor: Archil Gulisashvili
Publisher: World Scientific
Published: 2006-07-14
Total Pages: 359
ISBN-13: 9814479071
DOWNLOAD EBOOKThis book provides an introduction to propagator theory. Propagators, or evolution families, are two-parameter analogues of semigroups of operators. Propagators are encountered in analysis, mathematical physics, partial differential equations, and probability theory. They are often used as mathematical models of systems evolving in a changing environment. A unifying theme of the book is the theory of Feynman-Kac propagators associated with time-dependent measures from non-autonomous Kato classes. In applications, a Feynman-Kac propagator describes the evolution of a physical system in the presence of time-dependent absorption and excitation. The book is suitable as an advanced textbook for graduate courses.
Author: Lev A. Sakhnovich
Publisher: Springer Science & Business Media
Published: 2012-07-18
Total Pages: 246
ISBN-13: 3034803567
DOWNLOAD EBOOKIn 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.