Xin Zhao

activity

20202022

most citedStability of the non-critical spectral properties I: arithmetic absolute continuity of the integrated density of states

3 citations · 8 across the 5 of their papers we have counts for

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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…

math.DS2020★ 1 cited

Holder Continuity of Absolutely Continuous Spectral Measure for Multi-frequency Schrodinger Operators

Xin Zhao

We establish sharp results on the modulus of continuity of the distribution of the spectral measure for multi-frequency Schrodinger operators with Diphantine frequencies and small…

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)

Holder Continuity of Absolutely Continuous Spectral Measure for Multi-frequency Schrodinger Operators

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