عنوان

Stochastic Analysis and Applications in Physics

9401040982

9401102198

9789401040983

9789401102193

b594619

Stochastic Analysis and Applications in Physics

[Book]

edited by Ana Isabel Cardoso, Margarida Faria, Jürgen Potthoff, Roland Sénéor, Ludwig Streit.

Dordrecht

Springer Netherlands : Imprint : Springer

1994

(472 pages)

NATO ASI series., Series C,, Mathematical and physical sciences ;, 449.

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.

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.

Proceedings of the NATO Advanced Study Institute, Funchal, Madeira, Portugal, August 6--19, 1993

Mathematical physics.

Quantum field theory.

Stochastic processes.

edited by Ana Isabel Cardoso, Margarida Faria, Jürgen Potthoff, Roland Sénéor, Ludwig Streit.

Ana Isabel Cardoso

Jürgen Potthoff

Ludwig Streit

Margarida Faria

Roland Sénéor

[Book]

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