Author:
BARRIENTOS PABLO G.,RAIBEKAS ARTEM
Abstract
We study the dynamics of iterated function systems generated by a pair of circle diffeomorphisms close to rotations in the $C^{1+\text{bv}}$-topology. We characterize the obstruction to minimality and describe the limit set. In particular, there are no invariant minimal Cantor sets, which can be seen as a Denjoy/Duminy type theorem for iterated systems on the circle.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
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