32 citations · 43 across the 10 of their papers we have counts for
8 papers · 1 filter
Almost-periodic ground state of the non-self-adjoint Jacobi operator and its applications
Xing Liang, Honngze Wang, Qi Zhou
We study the ground states of the one-dimensional non-self-adjoint Jacobi operators in the almost periodic media by using the method of dynamical systems. We show the existence of…
Quantitative almost reducibility and Möbius disjointness for analytic quasiperiodic Schrodinger cocycles
Wen Huang, Jing Wang, Zhiren Wang +1
Sarnak's Möbius disjointness conjecture states that Möbius function is disjoint to any zero entropy dynamics. We prove that Möbius disjointness conjecture holds for one-frequency a…
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…
Anosov-Katok constructions for quasi-periodic cocycles
Nikolaos Karaliolios, Xu Xu, Qi Zhou
We prove that if the frequency of the quasi-periodic cocycle is Diophantine, then the following properties are dense in the subcritical regime: for any $\frac{1…
Absolutely Continuous Spectrum of Multifrequency Quasiperiodic Schrödinger operator
Xuanji Hou, Jing Wang, Qi Zhou
In this paper, we prove that for any -frequency analytic quasiperiodic Schrödinger operator, if the frequency is weak Liouvillean, and the potential is small enough, then the co…
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…