The rigidity conjecture

Marco Martens, Liviana Palmisano*, Björn Winckler

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)

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.
Original languageEnglish
Pages (from-to)825-830
Number of pages6
JournalIndagationes Mathematicae
Volume29
Issue number3
Early online date26 Aug 2017
DOIs
Publication statusPublished - Jun 2018

Keywords

  • Rigidity
  • Renormalization
  • Smooth dynamics

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