Spectral Hausdorff dimensions for a class of Schr\"odinger operators in bounded intervals
Vanderl\'ea R. Bazao, T\'ulio O. Carvalho, C\'esar R. de Oliveira
TL;DR
This paper calculates the precise Hausdorff dimensions of the spectral measures' singular continuous parts for a specific class of Schrödinger operators within bounded intervals, advancing understanding of their spectral properties.
Contribution
It provides exact Hausdorff dimension formulas for spectral measures of Schrödinger operators, a novel contribution to spectral theory in bounded domains.
Findings
Exact Hausdorff dimensions for spectral measures obtained
Singular continuous components characterized precisely
Advances understanding of spectral measure structure
Abstract
Exact Hausdorff dimensions are computed for singular continuous components of the spectral measures of a class of Schr\"odinger operators in bounded intervals.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.