On the small time asymptotics of the dynamical \(\Phi_1^4\) model

DOI10.1007/s10114-020-9342-0zbMath1464.60064arXiv1910.03423OpenAlexW3097113168MaRDI QIDQ2025269

Bing Guang Chen, Xiang Chan Zhu

Publication date: 11 May 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03423

zbMATH Keywords

large deviationspace-time white noisesmall time asymptotics\(\Phi_1^4\)- model

Mathematics Subject Classification ID

Large deviations (60F10) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (1)

A small time large deviation principle for stochastic differential delay equations

Cites Work

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• A theory of regularity structures
• KPZ reloaded
• Kolmogorov equations for stochastic PDEs.
• On the small time asymptotics of the two-dimensional stochastic Navier-Stokes equations
• Large deviations techniques and applications.
• On the stochastic quantization of field theory
• Small-time Gaussian behavior of symmetric diffusion semigroups
• Strong solutions to the stochastic quantization equations.
• The dynamic \({\Phi^4_3}\) model comes down from infinity
• Paracontrolled distributions and the 3-dimensional stochastic quantization equation
• On the small time asymptotics of diffusion processes on Hilbert spaces.
• Dirichlet form associated with the \(\Phi_3^4\) model
• Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions
• The free Markoff field
• Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms
• Restricted Markov uniqueness for the stochastic quantization of \(P(\Phi)_{2}\) and its applications
• Global well-posedness of the dynamic \(\Phi^{4}\) model in the plane
• Global solutions to elliptic and parabolic \({\Phi^4}\) models in Euclidean space
• Large deviation principles for the stochastic quasi-geostrophic equations
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• Fourier Analysis and Nonlinear Partial Differential Equations
• Diffusion processes in a small time interval
• Periodic Spaces and Relations to Strong Summability of Multiple FOURIER Series
• Stochastic Equations in Infinite Dimensions

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