Some recent progress in singular stochastic partial differential equations

DOI10.1090/bull/1670zbMath1448.35003arXiv1904.00334OpenAlexW2976375201WikidataQ127200345 ScholiaQ127200345MaRDI QIDQ5122996

Ivan Corwin, Hao Shen

Publication date: 25 September 2020

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00334

zbMATH Keywords

parabolic Anderson modelKPZ equationdynamical \(\Phi^4\) equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items

Integrability in the weak noise theory, KPZ equation with a small noise, deep upper tail and limit shape, Some recent progress on the stationary measure for the open KPZ equation, Numerical study of the thermodynamic uncertainty relation for the KPZ-equation, KPZ equation correlations in time, Fractional moments of the stochastic heat equation, Short time large deviations of the KPZ equation, Gaussian fluctuations from the 2D KPZ equation, Derivation of the stochastic Burgers equation from totally asymmetric interacting particle systems

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