Recurrence without uniform recurrence

Type: Article

Publication Date: 1987-12-01

Citations: 7

DOI: https://doi.org/10.1017/s014338570000420x

Abstract

Abstract We construct a minimal homeomorphism of a compact space such that a sequence of its iterates converges pointwise to the identity but no sequence of its iterates converges uniformly.

Locations

  • Ergodic Theory and Dynamical Systems - View - PDF

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Works Cited by This (1)

Action Title Year Authors
+ Recurrence in Ergodic Theory and Combinatorial Number Theory 1981 Harry Furstenberg