Sparse block-Jacobi matrices with arbitrarily accurate Hausdorff dimension

DOI10.1016/j.jmaa.2010.02.046zbMath1187.47024OpenAlexW2057583429MaRDI QIDQ972475

Domingos H. U. Marchetti, Walter F. Wreszinski, Silas L. Carvalho

Publication date: 19 May 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.02.046

zbMATH Keywords

Hausdorff dimensionspectral measuresparse potentialsblock-Jacobi matrices

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (8)

Spectral properties of block Jacobi matrices ⋮ Anderson-like transition for a class of random sparse models in \(d\geq 2\) dimensions ⋮ Spectral packing dimensions through power-law subordinacy ⋮ Sparse 1D discrete Dirac operators. I: Quantum transport ⋮ Spectral and dynamical properties of sparse one-dimensional continuous Schrödinger and Dirac operators ⋮ ASYMPTOTIC TIME DECAY IN QUANTUM PHYSICS: A SELECTIVE REVIEW AND SOME NEW RESULTS ⋮ Sparse one-dimensional discrete Dirac operators II: Spectral properties ⋮ Progress in the mathematical theory of quantum disordered systems

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