Rui Han

activity

20162026

most citedFull measure reducibility and localization for Jacobi operators: a topological criterion

19 citations · 77 across the 23 of their papers we have counts for

collaborators

24 papers

math.NT2026

Primes with Restricted-Digit Differences

Rui Han, Yaghoub Rahimi, Fan Yang

Fix a base $b \geq 2$ and a digit set $D \subset {0, 1, \dots, b - 1}$ , and let $C_{k}$ be the set of integers in $[0, b^{k})$ whose $k$ base- $b$ digits all lie in $\mathcal…

math.CA2026

Sharp $ℓ^{p}$ -Improving Estimates for Fixed-Radius Discrete Spherical Averages

Rui Han, Fan Yang

Let $d \geq 4$ and let $R > 0$ . When $d = 4$ , assume that $R^{2} \in N ∖ 4 N$ ; when $d \geq 5$ , let $R^{2} \in N$ be arbitrary. We prove the fixed-radius estimat…

math-ph2023

Non-perturbative localization on the strip and Avila's almost reducibility conjecture

Rui Han, Wilhelm Schlag

We prove non-perturbative Anderson localization and almost localization for a family of quasi-periodic operators on the strip. As an application we establish Avila's almost reducib…

math-ph2023

Avila's acceleration via zeros of determinants, and applications to Schrödinger cocycles

Rui Han, Wilhelm Schlag

In this paper we give a characterization of Avila's quantized acceleration of the Lyapunov exponent via the number of zeros of the Dirichlet determinants in finite volume. As appli…

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…

math.SP2022★ 3 cited

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…