82 citations · 566 across the 38 of their papers we have counts for
7 papers · 1 filter
Universality for random matrices with equi-spaced external source: a case study of a biorthogonal ensemble
Tom Claeys, Dong Wang
We prove the edge and bulk universality of random Hermitian matrices with equi-spaced external source. One feature of our method is that we use neither a Christoffel-Darboux type f…
Determinantal point processes conditioned on randomly incomplete configurations
Tom Claeys, Gabriel Glesner
For a broad class of point processes, including determinantal point processes, we construct associated marked and conditional ensembles, which allow to study a random configuration…
Critical Behavior of Non-Intersecting Brownian Motions
Tom Claeys, Thorsten Neuschel, Martin Venker
We study non-intersecting Brownian motions corresponding to initial configurations which have a vanishing density in the large limit at an interior point of the support. It…
How much can the eigenvalues of a random Hermitian matrix fluctuate?
Tom Claeys, Benjamin Fahs, Gaultier Lambert +1
The goal of this article is to study how much the eigenvalues of large Hermitian random matrices deviate from certain deterministic locations -- or in other words, to investigate o…
Boundaries of sine kernel universality for Gaussian perturbations of Hermitian matrices
Tom Claeys, Thorsten Neuschel, Martin Venker
We explore the boundaries of sine kernel universality for the eigenvalues of Gaussian perturbations of large deterministic Hermitian matrices. Equivalently, we study for determinis…
Propagation of singular behavior for Gaussian perturbations of random matrices
Tom Claeys, Arno B. J. Kuijlaars, Karl Liechty +1
We study the asymptotic behavior of the eigenvalues of Gaussian perturbations of large Hermitian random matrices for which the limiting eigenvalue density vanishes at a singular in…