Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8906025 | Indagationes Mathematicae | 2018 | 6 Pages |
Abstract
A central question in dynamics is whether the topology of a system determines its geometry. This is known as rigidity. Under mild topological conditions rigidity holds for many classical cases, including: Kleinian groups, circle diffeomorphisms, unimodal interval maps, critical circle maps, and circle maps with a break point. More recent developments show that under similar topological conditions, rigidity does not hold for slightly more general systems. In this paper we state a conjecture which describes how topological classes are organized into rigidity classes.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Marco Martens, Liviana Palmisano, Björn Winckler,