Piecewise contractions are asymptotically periodic-Reference-Cited by-同舟云学术

Piecewise contractions are asymptotically periodic

Published:2008-07-31 Issue:4 Volume:137 Page:1389-1395
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bruin Henk,Deane Jonathan

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2009-137-04/S0002-9939-08-09633-0/S0002-9939-08-09633-0.pdf

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