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
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
Journal title :
Journal of Mathematical Analysis and Applications
