Sparse block-Jacobi matrices with arbitrarily accurate Hausdorff dimension

作者：Carvalho S L; Marchetti D H U^*; Wreszinski W F

来源：Journal of Mathematical Analysis and Applications, 2010, 368(1): 218-234.

DOI：10.1016/j.jmaa.2010.02.046

• Spectral measure
• Block-Jacobi matrices
• Sparse potentials
• Hausdorff dimension

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 Zlatos [Andrej Zlatos,. Sparse potentials with fractional Hausdorff dimension, J. Funct. Anal. 207 (2004) 216-252].

• 出版日期2010-8-1