Ao Cai

activity

20172026

most citedFurstenberg Theory of Mixed Random-Quasiperiodic Cocycles

8 citations · 24 across the 13 of their papers we have counts for

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2 papers · 1 filter

math.SP2026

Polynomial Spectral Gap Estimates for Finitely Differentiable Quasi-Periodic Schrödinger Operators

Ao Cai, Yang Gao, Jiawei He

We prove polynomial upper bounds on spectral gaps of quasi-periodic Schrödinger operators with small $C^{k}$ potentials and Diophantine frequencies. For sufficiently large $k$ , the…

math.DS2026

Arithmetic $k$ -Polynomial Dynamical Localization for $k$ Power-Law Quasi-Periodic Long-Range Operators on $ℓ^{2} (Z^{d})$

Ao Cai, Huihui Lv, Yuan Shan +1

We establish a criterion of arithmetic $k$ -polynomial spectral localization and $k$ -polynomial dynamical localization in expectation for quasi-periodic long-range operators on $\el…

Polynomial Spectral Gap Estimates for Finitely Differentiable Quasi-Periodic Schrödinger Operators

Arithmetic k-Polynomial Dynamical Localization for k Power-Law Quasi-Periodic Long-Range Operators on ℓ2(Zd)

Arithmetic $k$ -Polynomial Dynamical Localization for $k$ Power-Law Quasi-Periodic Long-Range Operators on $ℓ^{2} (Z^{d})$