32 citations · 42 across the 8 of their papers we have counts for
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Transition space for the continuity of the Lyapunov exponent of quasiperiodic Schrödinger cocycles
Lingrui Ge, Yiqian Wang, Jiangong You +1
We construct discontinuous point of the Lyapunov exponent of quasiperiodic Schrödinger cocycles in the Gevrey space with . In contrast, the Lyapunov exponent has been…
Global rigidity for ultra-differentiable quasiperiodic cocycles and its spectral applications
Hongyu Cheng, Lingrui Ge, Jiangong You +1
For quasiperiodic Schrödinger operators with one-frequency analytic potentials, from dynamical systems side, it has been proved that the corresponding quasiperiodic Schrödinger coc…
Hölder regularity of the integrated density of states for quasi-periodic long-range operators on
Lingrui Ge, Jiangong You, Xin Zhao
We prove the Hölder continuity of the integrated density of states for a class of quasi-periodic long-range operators on with large trigonometric polynomial potentia…
Arithmetic version of Anderson localization via reducibility
Lingrui Ge, Jiangong You
The arithmetic version of Anderson localization (AL), i.e., AL with explicit arithmetic description on both the localization frequency and the localization phase, was first given b…
Exponential Dynamical Localization: Criterion and Applications
Lingrui Ge, Jiangong You, Qi Zhou
We give a criterion for exponential dynamical localization in expectation (EDL) for ergodic families of operators acting on . As applications, we prove EDL for a clas…
Hölder continuity of Lyapunov exponent for a family of smooth Schrödinger cocycles
Jinhao Liang, Yiqian Wang, Jiangong You
We prove the Hölder continuity of the Lyapunov exponent for quasi-periodic Schrödinger cocycles with a cos-type potential and any fixed Liouvillean frequency, provided the co…