Joscha Henheik

works on

deformed wigner matrices 1 eigenstate thermalisation hypothesis 1 eigenvector localization 1 mobility edge 1 random matrix theory 1

From the 1 of 14 linked papers with an AI index.

activity

20242026

collaborators

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5 papers · 1 filter

math.PR2026

Eigenvector decorrelation for random matrices

Giorgio Cipolloni, LÃ¡szlÃ³ ErdÅs, Joscha Henheik +1

We study the sensitivity of the eigenvectors of random matrices, showing that even small perturbations make the eigenvectors almost orthogonal. More precisely, we consider two defo…

math.PR2025

Law of fractional logarithm for random matrices

Zhigang Bao, Giorgio Cipolloni, LÃ¡szlÃ³ ErdÅs +2

We prove the Paquette-Zeitouni law of fractional logarithm (LFL) for the extreme eigenvalues [arXiv:1505.05627] in full generality, and thereby verify a conjecture from [arXiv:1505…

math.PR2025

Decorrelation transition in the Wigner minor process

Zhigang Bao, Giorgio Cipolloni, LÃ¡szlÃ³ ErdÅs +2

We consider the Wigner minor process, i.e. the eigenvalues of an $N \times N$ Wigner matrix $H^{(N)}$ together with the eigenvalues of all its $n \times n$ minors, $H^{(n)}$ , $n\le N…

math.PR2024

Eigenstate thermalisation at the edge for Wigner matrices

Giorgio Cipolloni, LÃ¡szlÃ³ ErdÅs, Joscha Henheik

We prove the Eigenstate Thermalisation Hypothesis for Wigner matrices uniformly in the entire spectrum, in particular near the spectral edges, with a bound on the fluctuation that…

math.PR2024

Cusp Universality for Correlated Random Matrices

LÃ¡szlÃ³ ErdÅs, Joscha Henheik, Volodymyr Riabov

For correlated real symmetric or complex Hermitian random matrices, we prove that the local eigenvalue statistics at any cusp singularity are universal. Since the density of states…