Nonlinear parabolic stochastic differential equations with additive colored noise on \({\mathbb{R}}^ d\times {\mathbb{R}}_ +:\) A regulated stochastic quantization

DOI10.1007/BF01208957zbMath0625.60069MaRDI QIDQ579753

Charles R. Doering

Publication date: 1987

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

stochastic quantizationfield theoriesasymptotic perturbation expansionsGaussian colored noise processnonlinear parabolic stochastic differential equation

Mathematics Subject Classification ID

Diffusion processes (60J60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (8)

Elements of stochastic analysis for the case of Grassmann variables. I: Grassmann stochastic integrals and random processes ⋮ Elements of stochastic analysis for the case of Grassmann variables. II: Stochastic partial differential equations for Grassmann processes ⋮ Along Paths Inspired by Ludwig Streit: Stochastic Equations for Quantum Fields and Related Systems ⋮ Noise regularization and computations for the 1-dimensional stochastic Allen-Cahn problem ⋮ Stability of the instanton under small random perturbations ⋮ Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process ⋮ On the stochastic Cahn-Hilliard equation ⋮ Stochastic PDEs: Convergence to the continuum?

Cites Work

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• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• Optimal Gaussian solutions of nonlinear stochastic partial differential equations
• On the stochastic quantization of field theory
• Stochastic diffusion on an unbounded domain
• Parabolic Ito equations with monotone nonlinearities
• Methods of nonlinear analysis. Vol. 1
• Equivalence of Stochastic Quantization Method to Conventional Field Theories through Super Transformation Invariance
• Large fluctuations for a nonlinear heat equation with noise
• Parabolic Ito Equations

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