NYJM Abstract - 21-53 - H. Ebadizadeh, F. H. Ghane, A. Ehsani, M. Saleh, and M. Zaj

New York Journal of Mathematics
Volume 21 (2015) 1169-1177

Volume 21

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H. Ebadizadeh, F. H. Ghane, A. Ehsani, M. Saleh, and M. Zaj

Robustly fiberwise minimal iterated function systems on the torus

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Published:	November 16, 2015
Keywords:	Minimal iterated function systems, fiberwisely minimal iterated function systems, locally contractible.
Subject:	Primary: 37E30; 37B10; Secondary: 37B05.

Abstract

This work is devoted to the study of the strong minimality of a class of iterated function systems defined on the two dimensional torus T². This means that almost every orbital branch of each point is dense in the ambient space. Moreover, we prove that this property is robust under small perturbations of the generators.

Author information

H. Ebadizadeh:
Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
ebadizadeh.hojjat@stu.um.ac.ir

F. H. Ghane:
Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
ghane@math.um.ac.ir

A. Ehsani:
Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
aza_ehsani@yahoo.com

M. Saleh:
Department of Mathematics, University of Neyshabur, Neyshabur, Iran
saleh@neyshabur.ac.ir

M. Zaj:
Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
zaj.marzie@yahoo.com