6533b831fe1ef96bd129866e
RESEARCH PRODUCT
Interior eigenvalue density of large bi-diagonal matrices subject to random perturbations
Johannes SjoestrandMartin Vogelsubject
Mathematics - Spectral Theory[ MATH ] Mathematics [math]MSC: 15B52 (47A10 47A55)FOS: Mathematics[MATH] Mathematics [math][MATH]Mathematics [math]Spectral Theory (math.SP)description
We study the spectrum of large a bi-diagonal Toeplitz matrix subject to a Gaussian random perturbation with a small coupling constant. We obtain a precise asymptotic description of the average density of eigenvalues in the interior of the convex hull of the range symbol.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |