David Damanik

collaborators

2 papers

math.DS2021

The rotation number for almost periodic potentials with jump discontinuities and $δ$ -interactions

David Damanik, Meirong Zhang, Zhe Zhou

We consider one-dimensional Schrödinger operators with generalized almost periodic potentials with jump discontinuities and $δ$ -interactions. For operators of this kind we introduc…

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…

The rotation number for almost periodic potentials with jump discontinuities and δ-interactions

Simon's OPUC Hausdorff Dimension Conjecture

The rotation number for almost periodic potentials with jump discontinuities and $δ$ -interactions