Dirichlet form associated with the \(\Phi_3^4\) model

DOI10.1214/18-EJP207zbMath1415.60082arXiv1703.09987MaRDI QIDQ1990205

Xiangchan Zhuï, Rong-Chan Zhu

Publication date: 25 October 2018

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09987

zbMATH Keywords

Dirichlet formspace-time white noiserenormalisationregularity structuresparacontrolled distributions\(\Phi_3^4\) model

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics (82C28)

Related Items (8)

Existence of densities for the dynamic \(\Phi^4_3\) model ⋮ Weak universality of the dynamical \({{\Phi }_3^4}\) model on the whole space ⋮ Non-local Markovian symmetric forms on infinite dimensional spaces. II: Applications: non local stochastic quantization of space cut-off quantum fields and infinite particle systems ⋮ Log‐Sobolev inequality for the φ24$\varphi ^4_2$ and φ34$\varphi ^4_3$ measures ⋮ The infinitesimal generator of the stochastic Burgers equation ⋮ Stochastic mSQG equations with multiplicative transport noises: white noise solutions and scaling limit ⋮ Non-local Markovian symmetric forms on infinite dimensional spaces. I: The closability and quasi-regularity ⋮ On the small time asymptotics of the dynamical \(\Phi_1^4\) model

Cites Work

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• Solving the KPZ equation
• Regularization by noise and stochastic Burgers equations
• Ergodicity for the stochastic quantization problems on the 2D-torus
• A Wong-Zakai theorem for stochastic PDEs
• On the stochastic quantization of field theory
• Differential equations driven by rough signals
• Dirichlet forms and symmetric Markov processes
• Stochastic Burgers and KPZ equations from particle systems
• Strong solutions to the stochastic quantization equations.
• Discretisations of rough stochastic PDEs
• The dynamic \({\Phi^4_3}\) model comes down from infinity
• Lattice approximation to the dynamical \(\Phi_{3}^{4}\) model
• Paracontrolled distributions and the 3-dimensional stochastic quantization equation
• 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
• Stochastic calculus for symmetric Markov processes
• Nonlinear fluctuations of weakly asymmetric interacting particle systems
• Three-dimensional Navier-Stokes equations driven by space-time white noise
• The dynamical sine-Gordon model
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• Convergence of the Two-Dimensional Dynamic Ising-Kac Model to Φ24
• Fourier Analysis and Nonlinear Partial Differential Equations
• Energy solutions of KPZ are unique
• Dynamic Scaling of Growing Interfaces
• Stochastic calculus for continuous additive functionals of zero energy
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Approximating 3D Navier–Stokes equations driven by space-time white noise
• REMARK ON THE INTEGRATION BY PARTS FORMULA FOR THE $\phi_3^4$-QUANTUM FIELD MODEL

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