Articoli correlati a Diffusions and Waves: 552

Diffusions and Waves: 552 - Brossura

Gzyl, Henryk

 
9789401039499: Diffusions and Waves: 552
Brossura
ISBN 10: 9401039496 ISBN 13: 9789401039499
Casa editrice: Springer, 2012

Sinossi

In this book several connections between probability theory and wave propagation are explored. The connection comes via the probabilistic (or path integral) representation of both the (fixed frequency) Green functions and of the propagators -operators mapping initial into present time data. The formalism includes both waves in continuous space and in discrete structures.
One of the main applications of the formalism developed is to inverse problems in wave propagation. Using the probabilistic formalism, the parameters of the medium and the surfaces determining the region of propagation appear explicitly in the path integral representation of the Green functions and propagators. This fact is what provides a useful starting point for inverse problem formulation.

Audience: The book is suitable for advanced graduate students in the mathematical, physical or in the engineering sciences. The presentation is quite self-contained, and not extremely rigorous.

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Contenuti

Introduction. 1. Basic Probabilistic Notions. 2. From Brownian Motion to Diffusions. 3. Waves. 4. Waves and Brownian Motions. 5. Waves and Diffusions. 6. Asymptotic Expansions. 7. Transmutation Operations. 8. More Connections. 9. Applications. Subject Index.

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Editore
Springer
Data di pubblicazione
2012
Lingua
Inglese
ISBN 10 
9401039496
ISBN 13 
9789401039499
Rilegatura
Copertina flessibile
Numero di pagine
248
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