Robust minimality of iterated function systems with two generators

A.J. Homburg; M. Nassiri

doi:10.1017/etds.2013.34

Robust minimality of iterated function systems with two generators

A.J. Homburg
, M. Nassiri

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

We prove that every compact manifold without boundary admits a pair of diffeomorphisms that generates C¹ robustly minimal dynamics. We apply the results to the construction of blenders and robustly transitive skew product diffeomorphisms.

Original language	English
Pages (from-to)	1914-1929
Journal	Ergodic theory and dynamical systems
Volume	34
Issue number	6
DOIs	https://doi.org/10.1017/etds.2013.34
Publication status	Published - 2014

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10.1017/etds.2013.34

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title = "Robust minimality of iterated function systems with two generators",

abstract = "We prove that every compact manifold without boundary admits a pair of diffeomorphisms that generates C1 robustly minimal dynamics. We apply the results to the construction of blenders and robustly transitive skew product diffeomorphisms.",

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JO - Ergodic theory and dynamical systems

JF - Ergodic theory and dynamical systems

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Robust minimality of iterated function systems with two generators

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