48 citations · 145 across the 12 of their papers we have counts for
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math.SP2015
Limit-Periodic Continuum Schrödinger Operators with Zero Measure Cantor Spectrum
David Damanik, Jake Fillman, Milivoje Lukic
We consider Schrödinger operators on the real line with limit-periodic potentials and show that, generically, the spectrum is a Cantor set of zero Lebesgue measure and all spectral…
math.SP2015
Spectral Homogeneity of Limit-Periodic Schrödinger Operators
Jake Fillman, Milivoje Lukic
We prove that the spectrum of a limit-periodic Schrödinger operator is homogeneous in the sense of Carleson whenever the potential obeys the Pastur--Tkachenko condition. This impli…