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math-ph2002
Sparse Potentials With Fractional Hausdorff Dimension
Andrej Zlatos
We construct non-random bounded discrete half-line Schr\" odinger operators which have purely singular continuous spectral measures with fractional Hausdorff dimension (in some int…
math-ph2002
The Szego Condition for Coulomb Jacobi Matrices
Andrej Zlatos
A Jacobi matrix with , and spectral measure satisfies the Szeg\H o condition if is finite.…