Artículos de revistas
Sparse block-Jacobi matrices with arbitrarily accurate Hausdorff dimension
Fecha
2010Registro en:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.368, n.1, p.218-234, 2010
0022-247X
10.1016/j.jmaa.2010.02.046
Autor
Carvalho, Silas Luiz de
Marchetti, Domingos Humberto Urbano
Wreszinski, Walter Felipe
Institución
Resumen
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]. (C) 2010 Elsevier Inc. All rights reserved.