Wissen, was gut ist. Studieren in Chemnitz.
Lindner, Marko : A note on the spectrum of bi-infinite bi-diagonal random matrices

Lindner, Marko : A note on the spectrum of bi-infinite bi-diagonal random matrices

Author(s):
Lindner, Marko
Title:
A note on the spectrum of bi-infinite bi-diagonal random matrices
Electronic source:
application/pdf
Preprint series:
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 12, 2008
Mathematics Subject Classification:
47B80 [ Random operators ]
47A10 [ Spectrum, resolvent ]
47B36 [ Jacobi and generalizations ]
Abstract:
The purpose of this note is to demonstrate the use of the results from the two recent papers [5] and [6] by Chandler-Wilde and the author for the explicit computation of the spectrum of two-sided infinite matrices with random diagonals. Here we consider the case of two random diagonals, one of them the main diagonal. Our result is a generalization of Theorem 8.1 in [24] by Trefethen, Contedini and Embree from the case of one random and one constant diagonal to the case of two random diagonals.
Keywords:
random matrix, spectral theory, Jacobi matrix, operators on $\ell^p$
Language:
English
Publication time:
5 / 2008