Remarks on shrinking target properties

Details Remarks on shrinking target properties Remarks on shrinking target properties

2008-07-21

arxiv.org/abs/0807.3298v3

Mathematics

Dynamical Systems

Significant changes including the title; 12 pages

Scientific paper

This paper defines and describes a few (related) notions of shrinking target
property. We show that simultaneous expanding circle maps have a certain
shrinking target property, but that circle homeomorphisms and isometries of
complete, separable metric spaces do not have any shrinking target property.

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