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" Stochastic Analysis and Applications in Physics "
edited by Ana Isabel Cardoso, Margarida Faria, Jürgen Potthoff, Roland Sénéor, Ludwig Streit.
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BL
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| Record Number
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774624
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b594619
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| Main Entry
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edited by Ana Isabel Cardoso, Margarida Faria, Jürgen Potthoff, Roland Sénéor, Ludwig Streit.
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| Title & Author
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Stochastic Analysis and Applications in Physics\ edited by Ana Isabel Cardoso, Margarida Faria, Jürgen Potthoff, Roland Sénéor, Ludwig Streit.
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| Publication Statement
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Dordrecht : Springer Netherlands : Imprint : Springer, 1994
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| Series Statement
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NATO ASI series., Series C,, Mathematical and physical sciences ;, 449.
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(472 pages)
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| ISBN
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9401040982
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: 9401102198
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: 9789401040983
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: 9789401102193
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| Contents
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Infinite Dimensional Diffusions, Markov Fields, Quantum Fields and Stochastic Quantization --; Burgers Equation forced by Conservative or Nonconservative Noise --; Statistical Properties of Piecewise Expanding Maps of the Interval --; Euclidean Quantum Mechanics. An outline --; Analysis on Loop Groups --; White Noise Analysis and Applications --; Computer Stochastics in Scalar Quantum Field Theory --; Brownian Motion over a Kahler Manifold and Elliptic Genera of Level N --; On Lyapounov Stability Theorems for Stochastic (Deterministic) Evolution Equations --; Stochastic Techniques in Condensed Matter Physics --; Stochastic Partial Differential Equations and Applications to Hydrodynamics --; White Noise Approach to Parabolic Stochastic Partial Differential Equations --; Colombeau Generalized Functions and Stochastic Analysis --; Constructive Field Theoretic Methods and Stochastic Partial Differential Equations --; Quantum Yang-Mills Theory on Compact Surfaces --; Entropy and KMS Norms --; An Introduction to White Noise Analysis --; Excursion Measures for One-Dimensional Time-Homogeneous Diffusions with Inaccessible and Accessible Boundaries.
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| Abstract
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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. <br/>
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Mathematical physics.
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Quantum field theory.
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Stochastic processes.
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| Added Entry
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Ana Isabel Cardoso
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Jürgen Potthoff
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Ludwig Streit
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Margarida Faria
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Roland Sénéor
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| Parallel Title
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Proceedings of the NATO Advanced Study Institute, Funchal, Madeira, Portugal, August 6--19, 1993
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