Sparse Block-Jacobi Matrices with Exact Hausdorff Dimension

Details Sparse Block-Jacobi Matrices with Exact Hausdorff Dimension Sparse Block-Jacobi Matrices with Exact Hausdorff Dimension

2009-08-04

arxiv.org/abs/0908.0560v1

Mathematics

Spectral Theory

22 pages

Scientific paper

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)).

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