3 citations · 4 across the 6 of their papers we have counts for
6 papers · 1 filter
Weighted Estimates for One Sided Martingale Transforms
Wei Chen, Rui Han, Michael T. Lacey
Let . Here, , and is the Haar function defined on dyadic interval . We sh…
Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle
Rui Han, Marius Lemm, Wilhelm Schlag
We study the one-dimensional discrete Schrödinger operator with the skew-shift potential . This potential is long conjectured…
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…
Large deviation estimates and Hölder regularity of the Lyapunov exponents for quasi-periodic Schrödinger cocycles
Rui Han, Shiwen Zhang
We consider one-dimensional quasi-periodic Schrödinger operators with analytic potentials. In the positive Lyapunov exponent regime, we prove large deviation estimates which lead t…