Examples of minimal set for IFSs
Nancy Guelman, Jorge Iglesias, Aldo Portela
TL;DR
This paper presents various examples of minimal sets for iterated function systems (IFS) of homeomorphisms with zero rotation number, and proves their topological uniqueness among possible cases.
Contribution
It provides explicit examples of minimal sets for IFSs with rotation number zero and establishes their topological uniqueness.
Findings
Examples of minimal sets for IFSs with rotation number zero
Topological classification of these minimal sets as unique cases
Abstract
We exhibit different examples of minimal sets for an IFS of homeomorphisms with rotation number equal to 0. It is proved that these examples are, from a topological point of view, the unique possible cases.
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