Probabilistic and Stochastic Methods in Analysis, with Applications
By: edited by J. S. Byrnes, Jennifer L. Byrnes, Kathryn A. Hargreaves, Karl Berry
Contributors: Byrnes, Jennifer L.; Hargreaves, Kathryn A.; Berry, Karl
Series: NATO ASI Series, Series C: Mathematical and Physical Sciences -- 372; NATO ASI Series, Series C: Mathematical and Physical Sciences -- 372
Publisher: Springer Netherlands
Published: 1992
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 699
ISBN-13: 9789401052399; 9789401127912
Subjects: Mathematics; Fourier analysis; Distribution (Probability theory); Systems theory
Other titles: Proceedings of the NATO Advanced Study Institute, Il Ciocco, Italy, July 14-27, 1991
Description: Probability has been an important part of mathematics for more than three centuries. Moreover, its importance has grown in recent decades, since the computing power now widely available has allowed probabilistic and stochastic techniques to attack problems such as speech and image processing, geophysical exploration, radar, sonar, etc. -- all of which are covered here. The book contains three exceptionally clear expositions on wavelets, frames and their applications. A further extremely active current research area, well covered here, is the relation between probability and partial differential equations, including probabilistic representations of solutions to elliptic and parabolic PDEs. New approaches, such as the PDE method for large deviation problems, and stochastic optimal control and filtering theory, are beginning to yield their secrets. Another topic dealt with is the application of probabilistic techniques to mathematical analysis. Finally, there are clear explanations of normal numbers and dynamic systems, and the influence of probability on our daily lives.
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