38 citations · 90 across the 9 of their papers we have counts for
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math.DS2013★ 4 cited
Uniform Positivity and Continuity of Lyapunov Exponents for a Class of Quasiperiodic Schrödinger Cocycles
Yiqian Wang, Zhenghe Zhang
We show that for a class of quasiperiodic potentials and for any Diophantine frequency, the Lyapunov exponents of the corresponding Schrödinger cocycles are uniformly positiv…
math.DS2013★ 10 cited
Uniform hyperbolicity and its relation with spectral analysis of 1D discrete Schrödinger Operators
Zhenghe Zhang
This paper intends to provide new, simple, and self-contained proofs of the equivalence of various different descriptions of the uniformly hyperbolic seq…
math.SP2013★ 14 cited
Singular Density of States Measure for Subshift and Quasi-Periodic Schrödinger Operators
Artur Avila, David Damanik, Zhenghe Zhang
Simon's subshift conjecture states that for every aperiodic minimal subshift of Verblunsky coefficients, the common essential support of the associated measures has zero Lebesgue m…