244 citations · 716 across the 28 of their papers we have counts for
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math.DS2017★ 32 cited
Asymptotics of spectral gaps of quasi-periodic Schrödinger operators
Martin Leguil, Jiangong You, Zhiyan Zhao +1
For non-critical almost Mathieu operators with Diophantine frequency, we establish exponential asymptotics on the size of spectral gaps, and show that the spectrum is homogeneous.…
math.DS2017★ 8 cited
Quasi-periodic solutions of NLS with Liouvillean Frequency
Xindong Xu, Jiangong You, Qi Zhou
Quasi-periodic solutions with Liouvillean frequency of forced nonlinear Schrödinger equation are constructed. This is based on an infinite dimensional KAM theory for Liouvillean fr…
math.DS2017★ 3 cited
Sharp Holder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles
Ao Cai, Claire Chavaudret, Jiangong You +1
We show that if the base frequency is Diophantine, then the Lyapunov exponent of a quasi-periodic cocycle is -Hölder continuous in the almost reduci…