For large random matrices X with independent, centered entries but not necessarily identical variances, the eigenvalue density of XX* is well-approximated by a deterministic measure on ℝ. We show that the density of this measure has only square and cubic-root singularities away from zero. We also extend the bulk local law in [5] to the vicinity of these singularities
We consider the local eigenvalue distribution of large self-adjoint N×N random matrices H=H∗ with ce...
In the first part of the thesis we consider Hermitian random matrices. Firstly, we consider sample c...
We consider real symmetric or complex hermitian random matrices with correlated entries. We prove lo...
For large random matrices X with independent, centered entries but not necessarily identical varianc...
For large random matrices X with independent, centered entries but not necessarily identical varianc...
We prove a local law in the bulk of the spectrum for random Gram matrices XX∗, a generalization of s...
We prove a local law in the bulk of the spectrum for random Gram matrices XX∗, a generalization of s...
The eigenvalue density of many large random matrices is well approximated by a deterministic measure...
We prove a local law in the bulk of the spectrum for random Gram matrices XX∗, a generalization of...
The eigenvalue density of many large random matrices is well approximated by a deterministic measure...
We consider the local eigenvalue distribution of large self-adjoint N×N random matrices H=H∗ with ce...
We consider the local eigenvalue distribution of large self-adjoint N×N random matrices H=H∗ with ce...
We consider the density of states of structured Hermitian random matrices with a variance profile. A...
For complex Wigner-type matrices, i.e. Hermitian random matrices with independent, not necessarily i...
For complex Wigner-type matrices, i.e. Hermitian random matrices with independent, not necessarily i...
We consider the local eigenvalue distribution of large self-adjoint N×N random matrices H=H∗ with ce...
In the first part of the thesis we consider Hermitian random matrices. Firstly, we consider sample c...
We consider real symmetric or complex hermitian random matrices with correlated entries. We prove lo...
For large random matrices X with independent, centered entries but not necessarily identical varianc...
For large random matrices X with independent, centered entries but not necessarily identical varianc...
We prove a local law in the bulk of the spectrum for random Gram matrices XX∗, a generalization of s...
We prove a local law in the bulk of the spectrum for random Gram matrices XX∗, a generalization of s...
The eigenvalue density of many large random matrices is well approximated by a deterministic measure...
We prove a local law in the bulk of the spectrum for random Gram matrices XX∗, a generalization of...
The eigenvalue density of many large random matrices is well approximated by a deterministic measure...
We consider the local eigenvalue distribution of large self-adjoint N×N random matrices H=H∗ with ce...
We consider the local eigenvalue distribution of large self-adjoint N×N random matrices H=H∗ with ce...
We consider the density of states of structured Hermitian random matrices with a variance profile. A...
For complex Wigner-type matrices, i.e. Hermitian random matrices with independent, not necessarily i...
For complex Wigner-type matrices, i.e. Hermitian random matrices with independent, not necessarily i...
We consider the local eigenvalue distribution of large self-adjoint N×N random matrices H=H∗ with ce...
In the first part of the thesis we consider Hermitian random matrices. Firstly, we consider sample c...
We consider real symmetric or complex hermitian random matrices with correlated entries. We prove lo...
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