Fan Yang

activity

20172020

most citedPure point spectrum for the Maryland model: a constructive proof

16 citations · 19 across the 4 of their papers we have counts for

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2 papers · 1 filter

math-ph2019★ 16 cited

Pure point spectrum for the Maryland model: a constructive proof

Svetlana Jitomirskaya, Fan Yang

We develop a constructive method to prove and study pure point spectrum for the Maryland model with Diophantine frequencies.

math-ph2017

Generic continuous spectrum for multi-dimensional quasi periodic Schrödinger operators with rough potentials

Rui Han, Fan Yang

We study the multi-dimensional operator $(H_{x} u)_{n} = \sum_{∣ m - n ∣ = 1} u_{m} + f (T^{n} (x)) u_{n}$ , where $T$ is the shift of the torus $\T^d$. When $d = 2$ , we show the spectrum of $H_{x}$ is almos…