HAL : hal-00530841, version 1

arXiv : 1011.0085

Fiche détaillée

Récupérer au format BibTeX - EndNote - TEI - RefWorks -

Examples of coarse expanding conformal maps

Peter Haissinsky 1, Kevin Pilgrim 2

(30/10/2010)

In previous work, a class of noninvertible topological dynamical systems $f: X \to X$ was introduced and studied; we called these {\em topologically coarse expanding conformal} systems. To such a system is naturally associated a preferred quasisymmetry (indeed, snowflake) class of metrics in which arbitrary iterates distort roundness and ratios of diameters by controlled amounts; we called this {\em metrically coarse expanding conformal}. In this note we extend the class of examples to several more familiar settings, give applications of our general methods, and discuss implications for the computation of conformal dimension.

1 :	Laboratoire d'Analyse, Topologie, Probabilités (LATP)
	CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III
2 :	Dept. of Mathematics
	Indiana University

Domaine

:

Mathématiques/Systèmes dynamiques

hal-00530841, version 1

http://hal.archives-ouvertes.fr/hal-00530841

oai:hal.archives-ouvertes.fr:hal-00530841

Contributeur : Peter Haissinsky <>

Soumis le : Samedi 30 Octobre 2010, 09:39:59

Dernière modification le : Samedi 30 Octobre 2010, 18:16:24