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Teichmüller Space of Fibonacci Maps

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

We prove that all smooth Fibonacci maps with quadratic critical point are quasisymmetrically conjugate. The proof is based upon an idea of asymptotically conformal extension, which provides a link between smooth and holomorphic dynamics.

Original languageEnglish
Title of host publicationNew Trends in One-Dimensional Dynamics - In Honour of Welington de Melo on the Occasion of His 70th Birthday IMPA 2016
EditorsMaria José Pacifico, Pablo Guarino
PublisherSpringer
Pages221-237
Number of pages17
ISBN (Print)9783030168322
DOIs
StatePublished - 2019
Event70th Anniversary of Welington de Melo held at IMPA, 2016 - Rio de Janeiro, Brazil
Duration: Nov 14 2016Nov 17 2016

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume285

Conference

Conference70th Anniversary of Welington de Melo held at IMPA, 2016
Country/TerritoryBrazil
CityRio de Janeiro
Period11/14/1611/17/16

Keywords

  • Asymptotically conformal extension
  • Fibonacci map
  • Teichmüller metric

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