244 citations · 716 across the 28 of their papers we have counts for
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math.SP2015★ 93 cited
Sharp Phase transitions for the almost Mathieu operator
Artur Avila, Jiangong You, Qi Zhou
It is known that the spectral type of the almost Mathieu operator depends in a fundamental way on both the strength of the coupling constant and the arithmetic properties of the fr…
math.DS2015★ 6 cited
Quasi-Periodic Schrödinger Cocycles with Positive Lyapunov Exponent are not Open in the Smooth Topology
Yiqian Wang, Jiangong You
One knows that the set of quasi-periodic Schrödinger cocycles with positive Lyapunov exponent is open and dense in the analytic topology. In this paper, we construct cocycles with…