Invariant Gibbs dynamics for the dynamical sine-Gordon model

DOI10.1017/prm.2020.68zbMath1473.35363arXiv2001.09275OpenAlexW3200345558MaRDI QIDQ5152531

Yu-Zhao Wang, Tristan Robert, Tadahiro Oh, Philippe Sosoe

Publication date: 24 September 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.09275

zbMATH Keywords

renormalizationperiodic boundary conditionswhite noiseGibbs measureGaussian multiplicative chaosstochastic sine-Gordon equationdynamical sine-Gordon model

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Second-order semilinear hyperbolic equations (35L71)

Related Items

Invariance of the Gibbs measures for periodic generalized Korteweg-de Vries equations ⋮ Quasi-invariant Gaussian measures for the nonlinear wave equation in three dimensions ⋮ Invariant Gibbs dynamics for the two-dimensional Zakharov-Yukawa system ⋮ On the parabolic and hyperbolic Liouville equations ⋮ Comparing the stochastic nonlinear wave and heat equations: a case study ⋮ Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise ⋮ Effective approximation of stochastic sine-Gordon equation with a fast oscillation ⋮ Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations

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