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math-ph2023
Sturm-Hurwitz Theorem for quantum graphs
Ram Band, Philippe Charron
We prove upper and lower bounds for the number of zeroes of linear combinations of Schrödinger eigenfunctions on metric (quantum) graphs. These bounds are distinct from both the in…
math-ph2023
MFO Report: The dry ten Martini problem for Sturmian dynamical systems
Ram Band, Siegfried Beckus, Raphael Loewy
This extended Oberwolfach report (to appear in the proceedings of the MFO Workshop 2335: Aspects of Aperiodic Order) announces the full solution to the Dry Ten Martini Problem for…