J. You

activity

20162025

most citedAsymptotics of spectral gaps of quasi-periodic Schrödinger operators

32 citations · 79 across the 18 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

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…

cond-mat.dis-nn2020

One dimensional quasiperiodic mosaic lattice with exact mobility edges

Yucheng Wang, Xu Xia, Long Zhang +5

The mobility edges (MEs) in energy which separate extended and localized states are a central concept in understanding the localization physics. In one-dimensional (1D) quasiperiod…

math.DS2020

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…

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

One dimensional quasiperiodic mosaic lattice with exact mobility edges

Arithmetic version of Anderson localization via reducibility

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