A comparison between the Avila-Gou\"ezel-Yoccoz norm and the Teichm\"uller norm
Weixu Su, Shenxing Zhang
TL;DR
This paper compares two different norms, the Avila-Gou"ezel-Yoccoz norm and the Teichm"uller norm, within the context of holomorphic quadratic differentials on the principal stratum.
Contribution
It provides a detailed comparison between these two norms, highlighting their differences and relationships in the setting of holomorphic quadratic differentials.
Findings
The paper establishes bounds relating the two norms.
It clarifies the geometric implications of the norm comparison.
The results enhance understanding of the structure of the principal stratum.
Abstract
We give a comparison between the Avila-Gou\"ezel-Yoccoz norm and the Teichm\"uller norm on the principal stratum of holomorphic quadratic differentials.
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
TopicsAnalytic and geometric function theory · Mathematical functions and polynomials · Nonlinear Waves and Solitons