Rui Han

activity

20162024

most citedDry Ten Martini problem for non self-dual extended Harper's model

1 citations · 2 across the 5 of their papers we have counts for

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3 papers · 1 filter

math-ph2024

Hölder continuity of the integrated density of states for Liouville frequencies

Rui Han, Wilhelm Schlag

We prove Hölder continuity of the Lyapunov exponent $L (ω, E)$ and the integrated density of states at energies that satisfy $L (ω, E) > 4 κ (ω, E) \cdot β (ω) \geq 0$ for general analytic pot…

math-ph2023★ 1 cited

Non-perturbative localization for quasi-periodic Jacobi block matrices

Rui Han, Wilhelm Schlag

We prove non-perturbative Anderson localization for quasi-periodic Jacobi block matrix operators assuming non-vanishing of all Lyapunov exponents. The base dynamics on tori $\mathb…

math-ph2022

Decay of multi-point correlation functions in $Z^{d}$

Rui Han, Fan Yang

We prove multi-point correlation bounds in $Z^{d}$ for arbitrary $d \geq 1$ with symmetrized distances, answering open questions proposed by Sims-Warzel \cite{SW} and Aza-Bru…

Hölder continuity of the integrated density of states for Liouville frequencies

Non-perturbative localization for quasi-periodic Jacobi block matrices

Decay of multi-point correlation functions in Zd

Decay of multi-point correlation functions in $Z^{d}$