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math.SP2019
Random Sturm-Liouville Operators with Generalized Point Interactions
David Damanik, Rafael del Rio, Asaf L. Franco
In this work we study the point spectra of selfadjoint Sturm-Liouville operators with generalized point interactions, where the two one-sided limits of the solution data are relate…
math.SP2019★ 1 cited
Random Sturm-Liouville Operators with Point Interactions
R. del Rio, A. L. Franco
We study invariance for eigenvalues of families of selfadjoint Sturm-Liouville operators with local point interactions. In a probabilistic setting, we show that a point is either a…
math.SP2009
Random Sturm Liouville Operators
Rafael del Rio
Selfadjoint Sturm-Liouville operators on with random potentials are considered and it is proven, using positivity conditions, that for almost every the operato…