Sparse Block-Jacobi Matrices with Exact Hausdorff Dimension

D. H. U. Marchetti; S. L. Carvalho; W. F. Wreszinski

arxiv: 0908.0560 · v1 · submitted 2009-08-04 · 🧮 math.SP · math.DS

Sparse Block-Jacobi Matrices with Exact Hausdorff Dimension

S. L. Carvalho , D. H. U. Marchetti , W. F. Wreszinski This is my paper

classification 🧮 math.SP math.DS

keywords block-jacobidimensionhausdorffmatricesanalclassdetermineddeterministic

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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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Sparse Block-Jacobi Matrices with Exact Hausdorff Dimension

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