Stochastic Analysis and Applications in Physics (NATO ASI Science)

Ana Isabel Cardoso [Editor]; Margarida de Faria [Editor]; Jurgen Potthoff [Editor]; Roland Seneor [Editor]; L. Streit [Editor];

ISBN 10: 0792331974 / ISBN 13: 9780792331971

Verlag: Springer, 1994

Beschreibung

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Bestandsnummer des Verkäufers Q-0792331974

Bibliografische Details

• Titel: Stochastic Analysis and Applications in Physics (NATO ASI Science)
• Verlag: Springer
• Erscheinungsjahr: 1994
• Sprache: Englisch
• ISBN-10: 0792331974
• ISBN-13: 9780792331971
• Einband: hardcover
• Zustand: New
• Gewicht: 30 Unzen

Über diesen Titel

Inhaltsangabe

Preface. Infinite Dimensional Diffusions, Markov Fields, Quantum Fields and Stochastic Quantization; S. Albeverio, Y.G. Kondratiev, M. Röckner. 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. Léandre. 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. Øksendal. 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. Sénéor. 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.

Reseña del editor

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.