Directed mean curvature flow in noisy environment

DOI10.1002/cpa.22158arXiv2201.08807OpenAlexW4387303862MaRDI QIDQ6141990

Konstantin Matetski, Andris Gerasimovičs, Martin Hairer

Publication date: 23 January 2024

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.08807

zbMATH Keywords

KPZ equationCole-Hopf solutionrenormalised quenched Edwards-Wilkinson model

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60) Quasilinear parabolic equations with mean curvature operator (35K93) Flows related to mean curvature (53E10)

Cites Work

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• Solving the KPZ equation
• A theory of regularity structures
• A central limit theorem for the KPZ equation
• Stochastic Burgers and KPZ equations from particle systems
• Regularity theory for mean curvature flow
• Quasilinear SPDEs via rough paths
• Singular SPDEs in domains with boundaries
• Algebraic renormalisation of regularity structures
• The KPZ fixed point
• Langevin dynamic for the 2D Yang-Mills measure
• An appetizer to modern developments on the Kardar-Parisi-Zhang universality class
• Paracontrolled quasilinear SPDEs
• Renormalising SPDEs in regularity structures
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• Open ASEP in the Weakly Asymmetric Regime
• A CLASS OF GROWTH MODELS RESCALING TO KPZ
• Convergence of exclusion processes and the KPZ equation to the KPZ fixed point
• A Solution Theory for Quasilinear Singular SPDEs
• Exponential Operators and Parameter Differentiation in Quantum Physics
• A course on rough paths. With an introduction to regularity structures
• The structure group for quasi-linear equations via universal enveloping algebras

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