Shiwen Zhang

activity

20182021

collaborators

Showing math.SPShow all

2 papers · 1 filter

math.SP2018

Singular continuous spectrum and generic full spectral/packing dimension for unbounded quasiperiodic Schrödinger operators

Fan Yang, Shiwen Zhang

We proved that Schrödinger operators with unbounded potentials $(H_{α, θ} u)_{n} = u_{n + 1} + u_{n - 1} + \frac{g ( θ + n α )}{f ( θ + n α )} u_{n}$ have purely singular continuous spectrum on the set $\{E:…

math.SP2018

Spectral Dimension for $β$ -almost periodic singular Jacobi operators and the extended Harper's model

Rui Han, Fan Yang, Shiwen Zhang

We study fractal dimension properties of singular Jacobi operators. We prove quantitative lower spectral/quantum dynamical bounds for general operators with strong repetition prope…

Singular continuous spectrum and generic full spectral/packing dimension for unbounded quasiperiodic Schrödinger operators

Spectral Dimension for β-almost periodic singular Jacobi operators and the extended Harper's model

Spectral Dimension for $β$ -almost periodic singular Jacobi operators and the extended Harper's model