Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Spectral statistics of Erdős–Rényi graphs I: Local semicircle law

- L'aszl'o ErdHos, A. Knowles, H. Yau, J. Yin
- Mathematics, Physics
- 9 March 2011

We consider the ensemble of adjacency matrices of Erdős–Renyi random graphs, that is, graphs on N vertices where every edge is chosen independently and with probability p≡p(N). We rescale the matrix… Expand

Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices

- L'aszl'o ErdHos, B. Schlein, H. Yau
- Physics, Mathematics
- 12 November 2007

We consider $N\times N$ Hermitian random matrices with i.i.d. entries. The matrix
is normalized so that the average spacing between consecutive eigenvalues is of order
$1/N$. We study the… Expand

Local law for random Gram matrices

- Johannes Alt, L'aszl'o ErdHos, Torben Kruger
- Mathematics, Physics
- 23 June 2016

We prove a local law in the bulk of the spectrum for random Gram matrices XX∗, a generalization of sample covariance matrices, where X is a large matrix with independent, centered entries with… Expand

Phase Transition in the Density of States of Quantum Spin Glasses

- L'aszl'o ErdHos, Dominik Schröder
- Physics, Mathematics
- 6 July 2014

We prove that the empirical density of states of quantum spin glasses on arbitrary graphs converges to a normal distribution as long as the maximal degree is negligible compared with the total number… Expand

Random Matrices with Slow Correlation Decay.

- L'aszl'o ErdHos, Torben Kruger, Dominik Schröder
- Mathematics, Physics
- 30 May 2017

We consider large random matrices with a general slowly decaying correlation among its entries. We prove universality of the local eigenvalue statistics and optimal local laws for the resolvent away… Expand

Correlated Random Matrices: Band Rigidity and Edge Universality

- Johannes Alt, L'aszl'o ErdHos, Torben Kruger, Dominik Schröder
- Mathematics, Physics
- 20 April 2018

We prove edge universality for a general class of correlated real symmetric or complex Hermitian Wigner matrices with arbitrary expectation. Our theorem also applies to internal edges of the… Expand

Fluctuations of Functions of Wigner Matrices

- L'aszl'o ErdHos, Dominik Schröder
- Mathematics, Physics
- 22 October 2016

We show that matrix elements of functions of N ×N Wigner matrices fluctuate on a scale of order N−1/2 and we identify the limiting fluctuation. Our result holds for any function f of the matrix that… Expand

Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case

- L'aszl'o ErdHos, Torben Kruger, Dominik Schröder
- Mathematics, Physics
- 11 September 2018

For complex Wigner-type matrices, i.e. Hermitian random matrices with independent, not necessarily identically distributed entries above the diagonal, we show that at any cusp singularity of the… Expand

Fluctuations of Rectangular Young Diagrams of Interlacing Wigner Eigenvalues

- L'aszl'o ErdHos, Dominik Schröder
- Mathematics
- 18 August 2016

We prove a new CLT for the difference of linear eigenvalue statistics of a Wigner random matrix H and its minor Ĥ and find that the fluctuation is much smaller than the fluctuations of the individual… Expand

Fluctuation around the circular law for random matrices with real entries

- Giorgio Cipolloni, L'aszl'o ErdHos, Dominik Schroder
- Mathematics, Physics
- 6 February 2020

We extend our recent result [Cipolloni, Erdős, Schroder 2019] on the central limit theorem for the linear eigenvalue statistics of non-Hermitian matrices $X$ with independent, identically distributed… Expand

...

1

2

3

...