Wencai Liu

activity

20132026

most citedArithmetic Spectral Transitions for the Maryland Model

36 citations · 389 across the 48 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.SP2019★ 3 cited

Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian, I. The hyperbolic case

Svetlana Jitomirskaya, Wencai Liu

We construct Riemannian manifolds with singular continuous spectrum embedded in the absolutely continuous spectrum of the Laplacian. Our manifolds are asymptotically hyperbolic wit…

math.SP2019★ 32 cited

Anderson localization for multi-frequency quasi-periodic operators on $Z^{d}$

Svetlana Jitomirskaya, Wencai Liu, Yunfeng Shi

We establish Anderson localization for general analytic $k$ -frequency quasi-periodic operators on $Z^{d}$ for \textit{arbitrary} $k, d$ .

Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian, I. The hyperbolic case

Anderson localization for multi-frequency quasi-periodic operators on Zd

Anderson localization for multi-frequency quasi-periodic operators on $Z^{d}$