Shiwen Zhang

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20152021

most citedQuantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schrödinger operators

19 citations · 73 across the 12 of their papers we have counts for

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math.SP2015★ 19 cited

Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schrödinger operators

Svetlana Jitomirskaya, Shiwen Zhang

We introduce a notion of $β$ -almost periodicity and prove quantitative lower spectral/quantum dynamical bounds for general bounded $β$ -almost periodic potentials. Applications incl…

math.SP2015

Mixed spectral types for the one frequency discrete quasi-periodic Schrödinger operator

Shiwen Zhang

We consider a family of one frequency discrete analytic quasi-periodic Schrödinger operators which appear in [Bjer]. We show that this family provides an example of coexistence o…

Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schrödinger operators

Mixed spectral types for the one frequency discrete quasi-periodic Schrödinger operator

Mixed spectral types for the one frequency discrete quasi-periodic Schrödinger operator