Title of article
Sparse block-Jacobi matrices with arbitrarily accurate Hausdorff dimension
Author/Authors
Carvalho، نويسنده , , S.L. and Marchetti، نويسنده , , D.H.U. and Wreszinski، نويسنده , , W.F.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
17
From page
218
To page
234
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 with any degree of precision, improving a result of Zlatoš [Andrej Zlatoš, Sparse potentials with fractional Hausdorff dimension, J. Funct. Anal. 207 (2004) 216–252].
Keywords
Block-Jacobi matrices , Spectral measure , Sparse potentials , Hausdorff dimension
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561053
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