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Birkhauser Stochastic Analysis: A Series of Lectures - Progress in Probability Vol. 68

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Description

This comprehensive collection presents thirteen peer-reviewed survey articles covering modern developments in stochastic analysis, authored by leading international experts. The book explores stochastic fluid dynamics, regularization by noise in deterministic systems, and stochastic partial differential equations driven by Gaussian or Levy noise. Additional topics include the connection between parabolic equations and particle systems, wave equations in geometric settings, Malliavin calculus with applications to stochastic numerics, stochastic integration in Banach spaces, and porous media equations. Originally compiled from lectures at the Centre Interfacultaire Bernoulli during January-June 2012 at Ecole Polytechnique Federale de Lausanne, this volume serves as an essential reference for researchers and advanced students in probability theory, mathematical analysis, and applied mathematics seeking current insights into stochastic processes and their applications.

Key Features

Includes thirteen refereed survey articles covering current research in stochastic analysis from international leaders in the field.

Covers stochastic fluid dynamics and noise regularization techniques for deterministic dynamical systems.

Explores stochastic partial differential equations driven by Gaussian or Levy noise with geometric frameworks.

Presents Malliavin calculus methods and their direct applications to stochastic numerical computation.

Part of the Progress in Probability series (Volume 68) published by Birkhauser for advanced mathematical audiences.

Addresses porous media equations and stochastic integration theory in Banach space settings.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
07 August 2015
Listed Since
26 December 2014

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