Publications associées à Spectral statistics for the discrete Anderson model in the localized regime

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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

Spectral statistics for the discrete Anderson model in the localized regime

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A Local Law for Singular Values from Diophantine Equations

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Information Spectrum Converse for Minimum Entropy Couplings and Functional Representations

Feedback and Common Information: Bounds and Capacity for Gaussian Networks

Common Information Components Analysis

A hybrid collocation-perturbation approach for PDEs with random domains

A Local Law for Singular Values from Diophantine Equations

Reconstruction using approximate message passing methods

Chebyshev Inequalities for Products of Random Variables

Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters

MATHICSE Technical Report: A posteriori error estimation for the stochastic collocation finite element approximation of the heat equation with random coefficients

Strong convergence of multivariate maxima