8 citations · 32 across the 8 of their papers we have counts for
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math.SP2010★ 2 cited
Discontinuity of the Lyapunov Exponent
Zheng Gan, Helge Krueger
We study discontinuity of the Lyapunov exponent. We construct a limit-periodic Schrödinger operator, of which the Lyapunov exponent has a positive measure set of discontinuities. W…
math.SP2010★ 8 cited
Limit-Periodic Schrödinger Operators With Uniformly Localized Eigenfunctions
David Damanik, Zheng Gan
We exhibit limit-periodic Schrödinger operators that are uniformly localized in the strongest sense possible. That is, for these operators there are uniform exponential decay rates…
math.SP2010★ 1 cited
An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups
Zheng Gan
We classify the hulls of different limit-periodic potentials and show that the hull of a limit-periodic potential is a procyclic group. We describe how limit-periodic potentials ca…