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Mesoscopic averaging of the two-dimensional KPZ equation - MaRDI portal

Mesoscopic averaging of the two-dimensional KPZ equation (Q6137764)

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scientific article; zbMATH DE number 7788932

Language	Label	Description	Also known as
English	Mesoscopic averaging of the two-dimensional KPZ equation	scientific article; zbMATH DE number 7788932

Statements

scholarly article

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Mesoscopic averaging of the two-dimensional KPZ equation (English)

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Journal of Statistical Physics

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publication date

16 January 2024

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full work available at URL

https://arxiv.org/abs/2302.06689

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zbMATH Keywords

KPZ equation

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local average

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directed polymer

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random interface growth

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MaRDI profile type

MaRDI publication profile

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The stochastic heat equation: Feynman-Kac formula and intermittence.

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The two-dimensional stochastic heat equation: renormalizing a multiplicative noise

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Stochastic Burgers and KPZ equations from particle systems

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Universality in marginally relevant disordered systems

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The Dickman subordinator, renewal theorems, and disordered systems

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On the moments of the \((2+1)\)-dimensional directed polymer and stochastic heat equation in the critical window

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The two-dimensional KPZ equation in the entire subcritical regime

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The critical 2d stochastic heat flow is not a Gaussian multiplicative chaos

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Weak convergence of directed polymers to deterministic KPZ at high temperature

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Constructing a solution of the \((2+1)\)-dimensional KPZ equation

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Convergence of deterministic growth models

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Renormalizing the Kardar-Parisi-Zhang equation in \(d\ge 3\) in weak disorder

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Gaussian fluctuations for the directed polymer partition function in dimension \(d\ge 3\) and in the whole \(L^2\)-region

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Law of large numbers and fluctuations in the sub-critical and \(L^2\) regions for SHE and KPZ equation in dimension \(d \geq 3\)

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A forward-backward SDE from the 2D nonlinear stochastic heat equation

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Fluctuations of the solutions to the KPZ equation in dimensions three and higher

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Gaussian fluctuations from the 2D KPZ equation

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Fluctuations of a Nonlinear Stochastic Heat Equation in Dimensions Three and Higher

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Moments of the 2D SHE at criticality

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The Edwards-Wilkinson limit of the random heat equation in dimensions three and higher

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Dynamic Scaling of Growing Interfaces

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Edwards-Wilkinson fluctuations for the directed polymer in the full \(L^2\)-regime for dimensions \(d\ge 3\)

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The scaling limit of the KPZ equation in space dimension 3 and higher

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Weak and strong disorder for the stochastic heat equation and continuous directed polymers in \(d\geq 3\)

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Fluctuations of two-dimensional stochastic heat equation and KPZ equation in subcritical regime for general initial conditions

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The Malliavin Calculus and Related Topics

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10955-023-03222-3

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Sitelinks

Mathematics(1 entry)

mardi Publication:6137764

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