Topological properties of reflectionless canonical systems
Max Forester, Christian Remling
TL;DR
This paper investigates the topological characteristics of reflectionless canonical systems, emphasizing the influence of the group PSL(2,R) on these spaces, which enhances understanding of their mathematical structure.
Contribution
It introduces a novel analysis of the topological properties of reflectionless canonical systems with a focus on the action of PSL(2,R).
Findings
Identifies the topological structure of reflectionless canonical systems.
Highlights the role of PSL(2,R) in shaping these spaces.
Provides new insights into the symmetry and invariance properties.
Abstract
We study the topological properties of spaces of reflectionless canonical systems. In this analysis, a key role is played by a natural action of the group on these spaces.
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.
Taxonomy
TopicsQuantum chaos and dynamical systems · Nonlinear Dynamics and Pattern Formation