Publications associées à Liouville Measure As A Multiplicative Cascade Via Level Sets Of The Gaussian Free Field

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A Local Law for Singular Values from Diophantine Equations

Marius Christopher Lemm

We introduce the

N\times N

random matrices

X_{j,k}=\exp\left(2\pi i \sum_{q=1}^d\ \omega_{j,q} k^q\right) \quad \text{with } \{\omega_{j,q}\}_{\substack{1\leq j\leq N\\ 1\leq q\leq d}} \text{ i.i.d. random variables},

and

d

a fixed integer. We pr ...

2020

Liouville Measure As A Multiplicative Cascade Via Level Sets Of The Gaussian Free Field

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A Local Law for Singular Values from Diophantine Equations

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Stochastic partial differential equations driven by Lévy white noises

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Scaling Limits of Solutions of Linear Stochastic Differential Equations Driven by Levy White Noises

A Local Law for Singular Values from Diophantine Equations

Symplectic dynamical low rank approximation of wave equations with random parameters