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Piecewise contractions are asymptotically periodic

Henk Bruin, Jonathan Deane

Source record

Source: Crossref

Published: Jul 31, 2008

DOI: 10.1090/s0002-9939-08-09633-0

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Source abstract

We show that, given a finite partition of the plane C \mathbb {C} such that the map G G acts as a linear contraction on each part, for almost every choice of parameters every orbit of G G is (asymptotically) periodic.

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Piecewise contractions are asymptotically periodic — Mathematical Frontier Network