Classifying dynamical systems by their recurrence properties

Eli Glasner

DOI: http://dx.doi.org/10.12775/TMNA.2004.018

Abstract


In his seminal paper of 1967 on disjointness in topological
dynamics and ergodic theory H. Furstenberg started a systematic
study of transitive dynamical systems. In recent years this work
served as a basis for a broad classification of
dynamical systems by their recurrence properties. In this paper
I describe some aspects of this new theory and its connections
with combinatorics, harmonic analysis and the theory of
topological groups.

Keywords


Recurrence; transitive; weak mixing; weak disjointness; lmost equicontinuity; topologiclly ergodic; syndetic

Full Text:

FULL TEXT

Refbacks

  • There are currently no refbacks.

Partnerzy platformy czasopism