Overview

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.

Full Product Details

Author:   Ana Isabel Cardoso ,  Margarida de Faria ,  Jurgen Potthoff (Lehrstuhl fuer Mathematik V, Universitaet Manheim, Germany) ,  Roland Seneor
Publisher:   Kluwer Academic Publishers
Imprint:   Kluwer Academic Publishers
Volume:   449
Weight:   0.953kg
ISBN:  

9780792331971

ISBN 10:   0792331974
Pages:   472
Publication Date:   31 October 1994
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Infinite Dimensional Diffusions, Markcov Fields, Quantum Fields and Stochastic Quantization, S. Albeverio, Y.G. Kondratiev, M. Rockner. Burgers Equation forced by Conservative or Nonconservative Noise, L. Bertini, N. Cancrini, G. Jona-Lasinio. Statistical Properties of Piecewise Expanding Maps of the Interval, P. Collet. Euclidean Quantum Mechanics. An Outline; A.B. Cruzeiro, J.C. Zambrini. Analysis on Loop Groups, L. Gross. White Noise Analysis and Applications, T. Hida. Computer Stochastics in Scalar Quantum Field Theory, C.B. Lang. Brownian Motion over a Kahler Manifold and Elliptic Genera of Level N, R. Leandre. On Lyapunov Stability Theorems for Stochastic (Deterministic) Evolution Equations, V. Mandrekar. Stochastic Techniques in Condensed Matter Physics, R. Vilela Mendes. Stochastic Partial Differential Equations and Applications to Hydrodynamics, B. Oksendal. White Noise Approach to Parabolic Stochastic Partial Differential Equations, J. Potthoff. Colombeau Generalized Functions and Stochastic Analysis, F. Russo. Constructive Field Theoretic Methods and Stochastic Partial Differential Equations, R. Seneor. Quantum Yang-Mills Theory on Compact Surfaces, A. Sengupta. Detailed Balance and Free Energy, R.F. Streater. An Introduction to White Noise Analysis, L. Streit. Excursion Measures for One-Dimensional Time-Homogeneous Diffusions with Inaccessible and Accessible Boundaries, A. Truman.

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