English

Remarks on shrinking target properties

Dynamical Systems 2010-08-09 v3

Abstract

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.

Keywords

Cite

@article{arxiv.0807.3298,
  title  = {Remarks on shrinking target properties},
  author = {Jimmy Tseng},
  journal= {arXiv preprint arXiv:0807.3298},
  year   = {2010}
}

Comments

Significant changes including the title; 12 pages

R2 v1 2026-06-21T11:02:47.006Z