most citedBound States of Discrete Schroedinger Operators with Super-Critical Inverse Square Potentials

11 citations · 11 across the 2 of their papers we have counts for

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2 papers

math.SP2012

Orthogonal polynomials on the unity circle with Fibonacci Verblunsky coefficients, I. The essential support of the measure

David Damanik, Paul Munger, William Yessen

We study probability measures on the unit circle corresponding to orthogonal polynomials whose sequence of Verblunsky coefficients is invariant under the Fibonacci substitution. We…

math.SP2005★ 11 cited

Bound States of Discrete Schroedinger Operators with Super-Critical Inverse Square Potentials

David Damanik, Gerald Teschl

We consider discrete one-dimensional Schroedinger operators whose potentials decay asymptotically like an inverse square. In the super-critical case, where there are infinitely man…