Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation

Maria Carola Colombo, Silja Noëmi Aline Haffter
2021
Journal paper

Abstract

We consider the SQG equation with dissipation given by a fractional Laplacian of order α

Official source

https://infoscience.epfl.ch/record/284814?ln=en

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Localization errors of the stochastic heat equation

David Jean-Michel Candil

In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space

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We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...

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We give a new proof of a sumset conjecture of Furstenberg that was first proved by Hochman and Shmerkin in 2012: if

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X

and

Y

are

\times r

- and

\times s

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[0,1]

, respectively, then $\dim_\text{ ...

2021

Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation

Localization errors of the stochastic heat equation

Compact, Spatial-mode-interaction-free, Ultralow-loss, Nonlinear photonic integrated circuits

A combinatorial proof of a sumset conjecture of Furstenberg

Localization errors of the stochastic heat equation

A combinatorial proof of a sumset conjecture of Furstenberg

Compact, Spatial-mode-interaction-free, Ultralow-loss, Nonlinear photonic integrated circuits