3 citations · 4 across the 3 of their papers we have counts for
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Anti-resonances and sharp analysis of Maryland localization for all parameters
Rui Han, Svetlana Jitomirskaya, Fan Yang
We develop the technique to prove localization through the analysis of eigenfunctions in presence of both exponential frequency resonances and exponential phase barriers (anti-reso…
Discrete Bethe--Sommerfeld Conjecture for Triangular, Square, and Hexagonal Lattices
Jake Fillman, Rui Han
We study discrete Schrödinger operators on the graphs corresponding to the triangular lattice, the hexagonal lattice, and the square lattice with next-nearest neighbor interactions…
Spectral Dimension for -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…
Cantor spectrum of graphene in magnetic fields
Simon Becker, Rui Han, Svetlana Jitomirskaya
We consider a quantum graph as a model of graphene in magnetic fields and give a complete analysis of the spectrum, for all constant fluxes. In particular, we show that if the redu…