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20102017
most citedQuantum Dynamics of Periodic and Limit-Periodic Jacobi and Block Jacobi Matrices with Applications to Some Quantum Many Body Problems

48 citations · 145 across the 12 of their papers we have counts for

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Showing 2015Show all

3 papers · 1 filter

math.AP2015★ 35 cited

Almost Periodicity in Time of Solutions of the KdV Equation

Ilia Binder, David Damanik, Michael Goldstein +1

We study the Cauchy problem for the KdV equation with almost periodic initial data . We consider initial data $V…

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…