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19932026
most citedOn Landau damping

467 citations

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105 papers · 1 filter

math.PR2025

The longest increasing subsequence of Brownian separable permutons

Arka Adhikari, Jacopo Borga, Thomas Budzinski +2

We establish a scaling limit result for the length of the longest increasing subsequence of a permutation of size sampled from the Brownian sepa…

math.PR2025

Ergodicity of the Anderson model

Hugo Eulry, Antoine Mouzard

We consider the parabolic stochastic quantization equation associated to the model on the torus in a spatial white noise environment. We study the long time behavior of thi…

math.PR2025

Global law of conjugate kernel random matrices with heavy-tailed weights

Alice Guionnet, Vanessa Piccolo

We study the asymptotic spectral distribution of the conjugate kernel random matrix , where arises from a two-layer neural network model. We consider the settin…

math.PR2025

Operator norm of products of random matrices

Jean-Christophe Mourrat

We study the operator norm of products of independent random matrices with independent and identically distributed entries. For -by- matrices wh…

math.PR2025

There are no geodesic hubs in the Brownian sphere

Mathieu Mourichoux

A point of a metric space is called a -hub if it is the endpoint of exactly disjoint geodesics, and that the concatenation of any two of these paths is still a geodesic. We…

math.PR2024

The critical Karp--Sipser core of Erdős--Rényi random graphs

Thomas Budzinski, Alice Contat

The Karp--Sipser algorithm consists in removing recursively the leaves as well their unique neighbours and all isolated vertices of a given graph. The remaining graph obtained when…