Xin Zhao

most citedTransition space for the continuity of the Lyapunov exponent of quasiperiodic Schrödinger cocycles

2 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.SP2021★ 1 cited

Arithmetic version of anderson localization for quasiperiodic Schrödinger operators with even cosine type potentials

Lingrui Ge, Jiangong You, Xin Zhao

We propose a new method to prove Anderson localization for quasiperiodic Schrödinger operators and apply it to the quasiperiodic model considered by Sinai and Fröhlich-Spencer-Witt…

math.DS2021★ 2 cited

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 $G^{s}$ with $s > 2$ . In contrast, the Lyapunov exponent has been…

math.DS2020★ 1 cited

Hölder regularity of the integrated density of states for quasi-periodic long-range operators on $ℓ^{2} (Z^{d})$

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 $ℓ^{2} (Z^{d})$ with large trigonometric polynomial potentia…

Arithmetic version of anderson localization for quasiperiodic Schrödinger operators with even cosine type potentials

Transition space for the continuity of the Lyapunov exponent of quasiperiodic Schrödinger cocycles

Hölder regularity of the integrated density of states for quasi-periodic long-range operators on ℓ2(Zd)

Hölder regularity of the integrated density of states for quasi-periodic long-range operators on $ℓ^{2} (Z^{d})$