Sparse Block-Jacobi Matrices with Exact Hausdorff Dimension
Spectral Theory
2009-08-06 v1 Dynamical Systems
Abstract
We show that the Hausdorff dimension of the spectral measure of a class of deterministic, i. e. nonrandom, block-Jacobi matrices may be determined exactly, improving a result of Zlatos (J. Funct. Anal. 207, 216-252 (2004)).
Cite
@article{arxiv.0908.0560,
title = {Sparse Block-Jacobi Matrices with Exact Hausdorff Dimension},
author = {S. L. Carvalho and D. H. U. Marchetti and W. F. Wreszinski},
journal= {arXiv preprint arXiv:0908.0560},
year = {2009}
}
Comments
22 pages