Add to ORKG7 pagesWe exhibit an explicit formula for the spectral density of a (large) random matrix which is a diagonal matrix whose spectral density converges, perturbated by the addition of a symmetric matrix with Gaussian entries and a given (small) limiting variance profile
AbstractLet Wn be n×n Hermitian whose entries on and above the diagonal are independent complex rand...
We consider the spectral radius of a large random matrix $X$ with independent, identically distribut...
We develop a framework for establishing the Law of Large Numbers for the eigenvalues in the random m...
7 pagesWe exhibit an explicit formula for the spectral density of a (large) random matrix which is a...
Abstract. We exhibit an explicit formula for the spectral density of a (large) random matrix which i...
International audienceFor each n, let An = (σij) be an n × n deterministic matrix and let Xn = (Xij)...
We consider the eigenvalues of a fixed, non-normal matrix subject to a small additive perturbation. ...
Expanded version of a paper published in Communications in Mathematical Physics 307, 513-560 (2011)I...
International audienceConsider an nxn random matrix X with i.i.d. nonnegative entries with bounded d...
We investigate the fluctuations of linear spectral statistics of a Wigner matrix $W_N$ deformed by a...
We derive analytic expressions for infinite products of random 2x2 matrices. The determinant of the ...
Abstract. Consider the random matrix Σ = D1/2XD̃1/2 where D and D ̃ are deterministic Hermitian nonn...
We consider a class of random banded Hessenberg matrices with independent entries having identical d...
"Microlocal Analysis and Singular Perturbation Theory". October 5～9, 2015. edited by Yoshitsugu Take...
Consider a matrix ${\rm Y}_n= \frac{\sigma}{\sqrt{n}} {\rm X}_n +{\rm A}_n, $ where $\sigma>0$ and ...
AbstractLet Wn be n×n Hermitian whose entries on and above the diagonal are independent complex rand...
We consider the spectral radius of a large random matrix $X$ with independent, identically distribut...
We develop a framework for establishing the Law of Large Numbers for the eigenvalues in the random m...
7 pagesWe exhibit an explicit formula for the spectral density of a (large) random matrix which is a...
Abstract. We exhibit an explicit formula for the spectral density of a (large) random matrix which i...
International audienceFor each n, let An = (σij) be an n × n deterministic matrix and let Xn = (Xij)...
We consider the eigenvalues of a fixed, non-normal matrix subject to a small additive perturbation. ...
Expanded version of a paper published in Communications in Mathematical Physics 307, 513-560 (2011)I...
International audienceConsider an nxn random matrix X with i.i.d. nonnegative entries with bounded d...
We investigate the fluctuations of linear spectral statistics of a Wigner matrix $W_N$ deformed by a...
We derive analytic expressions for infinite products of random 2x2 matrices. The determinant of the ...
Abstract. Consider the random matrix Σ = D1/2XD̃1/2 where D and D ̃ are deterministic Hermitian nonn...
We consider a class of random banded Hessenberg matrices with independent entries having identical d...
"Microlocal Analysis and Singular Perturbation Theory". October 5～9, 2015. edited by Yoshitsugu Take...
Consider a matrix ${\rm Y}_n= \frac{\sigma}{\sqrt{n}} {\rm X}_n +{\rm A}_n, $ where $\sigma>0$ and ...
AbstractLet Wn be n×n Hermitian whose entries on and above the diagonal are independent complex rand...
We consider the spectral radius of a large random matrix $X$ with independent, identically distribut...
We develop a framework for establishing the Law of Large Numbers for the eigenvalues in the random m...