Stochastic Analysis and Applications in Physics

Ana Isabel Cardoso

ISBN 10: 9401040982 / ISBN 13: 9789401040983

Published by Springer, Springer Netherlands, 2012

About this Item

Druck auf Anfrage Neuware - Printed after ordering - Stochastic analysis and its various applications in physics have to a large extent developed symbiotically. In the past decades mathematics has provided physics witb a vast and rapidly expanding array of tools and methods, while on the other hand physics has counted among the sources of direction and of structural intuition for the mathematical research in stochastics. We hope to have captured some of the focal points of this dialogue in the NATO AS! 'Stochastic Analysis and its Applications in Physics' and in the present volume. On the mathematical side White Noise Analysis has emerged as a viable frame work for stochastic and infinite dimensional analysis (Hida, Streit). Another growth point is the theory of stochastic partial differential equations and their applications (8ertini et aI., 0ksendal, Potthoff, Russo, Sinior). Gauge field theories have in creasingly attracted the attention not only of physicists but of mathematicians as well (Gross, Liandre, Sengupta). On the other hand the contributions of Lang and of Vilela Mendes show the extent to which stochastic methods have found a place in the physicists' toolbox. Dirichlet forms provide a fruitful link between the mathematics of Markov processes and fields and the physics of quantum systems (Albeverio et al.). The deterministic-stochastic nterface i was addressed by Collet and by Mandrekar, Euclidean quantum mechanics by Cruzeiro and Zambrini, excursions of diffusions by Truman, and Kubo-Martin Schwinger norms of statistical mechanics by Streater. So much for a rapid synopsis of the material represented in the present volume.

Seller Inventory # 9789401040983

Bibliographic Details

• Title: Stochastic Analysis and Applications in Physics
• Publisher: Springer, Springer Netherlands
• Publication Date: 2012
• Language: English
• ISBN 10: 9401040982
• ISBN 13: 9789401040983
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 240W x 160H x 26D millimeters 240 millimeters width by 160 millimeters height by 26 millimeters depth
• Weight: 754 grams

About this title

Synopsis

The intensive exchange between mathematicians and users has led in recent years to a rapid development of stochastic analysis. Of the users, the physicists form perhaps the most important group, giving direction to the mathematicians' research and providing a source of intuition. White noise analysis has emerged as a viable framework for stochastic and infinite dimensional analysis. Another growth area is the theory of stochastic partial differential equations. Gauge field theories are attracting increasing attention. Dirichlet forms provide a fruitful link between the mathematics of Markov processes and the physics of quantum systems. The deterministic--stochastic interface is addressed, as are Euclidean quantum mechanics, excursions of diffusions and the convergence of Markov chains to thermal states.