Darren C. Ong

activity

20112026

most citedAlmost Everything About the Unitary Almost Mathieu Operator

14 citations · 77 across the 20 of their papers we have counts for

collaborators

Showing 2020 · math.SPShow all

3 papers · 2 filters

math.SP2020

On Simon's Hausdorff Dimension Conjecture

David Damanik, Jake Fillman, Shuzheng Guo +1

Barry Simon conjectured in 2005 that the Szegő matrices, associated with Verblunsky coefficients ${α_{n}}_{n \in Z_{+}}$ obeying $\sum_{n = 0}^{\infty} n^{γ} ∣ α_{n} ∣^{2} < \infty$ for…

math.SP2020

Simon's OPUC Hausdorff Dimension Conjecture

David Damanik, Shuzheng Guo, Darren C. Ong

We show that the Szegő matrices, associated with Verblunsky coefficients ${α_{n}}_{n \in Z_{+}}$ obeying $\sum_{n = 0}^{\infty} n^{γ} ∣ α_{n} ∣^{2} < \infty$ for some $γ \in (0, 1)$ , are b…

math.SP2020★ 3 cited

Subordinacy Theory for Extended CMV Matrices

Shuzheng Guo, David Damanik, Darren C. Ong

We develop subordinacy theory for extended CMV matrices. That is, we provide explicit supports for the singular and absolutely continuous parts of the canonical spectral measure as…