The stationary AKPZ equation: Logarithmic superdiffusivity (Q6074565)

scientific article; zbMATH DE number 7749398

Language	Label	Description	Also known as
English	The stationary AKPZ equation: Logarithmic superdiffusivity	scientific article; zbMATH DE number 7749398

Statements

instance of

scholarly article

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title

The stationary AKPZ equation: Logarithmic superdiffusivity (English)

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author

Giuseppe Cannizzaro

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Dirk Erhard

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Fabio Lucio Toninelli

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published in

Communications on Pure and Applied Mathematics

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publication date

12 October 2023

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full work available at URL

https://arxiv.org/abs/2007.12203

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zbMATH Keywords

space-time white noise

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Kardar-Parisi-Zhang (KPZ) equation

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MaRDI profile type

MaRDI publication profile

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cites work

The intermediate disorder regime for directed polymers in dimension \(1+1\)

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Fluctuation exponent of the KPZ/stochastic Burgers equation

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Q4856154

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An irreversible local Markov chain that preserves the six vertex model on a torus

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Macdonald processes

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Anisotropic \((2+1)\)d growth and Gaussian limits of \(q\)-Whittaker processes

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Stochastic heat equation limit of a \((2+1)\mathrm{d}\) growth model

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Anisotropic growth of random surfaces in \({2+1}\) dimensions

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2D anisotropic KPZ at stationarity: scaling, tightness and nontriviality

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The two-dimensional KPZ equation in the entire subcritical regime

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Speed and fluctuations for some driven dimer models

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The domino shuffling algorithm and anisotropic KPZ stochastic growth

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Crossover distributions at the edge of the rarefaction fan

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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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Q5538132

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

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Lectures on singular stochastic PDEs

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The infinitesimal generator of the stochastic Burgers equation

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Dynamic Scaling of Growing Interfaces

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Logarithmic superdiffusion in two dimensional driven lattice gases

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Superdiffusivity of two dimensional lattice gas models

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Superdiffusivity of asymmetric exclusion process in dimensions one and two

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Hydrodynamic limit of a \((2+1)\)-dimensional crystal growth model in the anisotropic KPZ class

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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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The KPZ fixed point

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The Malliavin Calculus and Related Topics

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An exactly solved model of three-dimensional surface growth in the anisotropic KPZ regime

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A note on the diffusivity of finite-range asymmetric exclusion processes on Z

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Nonlinear fluctuating hydrodynamics for anharmonic chains

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(2 + 1)-DIMENSIONAL INTERFACE DYNAMICS: MIXING TIME, HYDRODYNAMIC LIMIT AND ANISOTROPIC KPZ GROWTH

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A \((2+1)\)-dimensional growth process with explicit stationary measures

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Superdiffusive bounds on self-repellent Brownian polymers and diffusion in the curl of the Gaussian free field in \(d=2\)

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\((\log t)^{2/3}\) law of the two-dimensional asymmetric simple exclusion process

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Identifiers

zbMATH Open document ID

1525.35263

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arXiv ID

2007.12203

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6074565