arXiv Analytics

Sign in

arXiv:1004.0940 [math.DS]AbstractReferencesReviewsResources

Approximately transitive dynamical systems and simple spectrum

E. H. El Abdalaoui, M. Lemanczyk

Published 2010-04-06Version 1

For some countable discrete torsion Abelian groups we give examples of their finite measure-preserving actions which have simple spectrum and no approximate transitivity property.

Comments: 9 pages, Key words and phrases: ergodic theory, dynamical system, AT property, funny rank one, Haar spectrum
Categories: math.DS
Subjects: 37A25
Related articles: Most relevant | Search more
arXiv:0903.0503 [math.DS] (Published 2009-03-03, updated 2009-03-08)
Approximate transitivity property and Lebesgue spectrum
arXiv:1209.2293 [math.DS] (Published 2012-09-11, updated 2013-06-07)
Trivial and simple spectrum for SL(2,R) cocycles with free base and fiber dynamics
arXiv:1301.2795 [math.DS] (Published 2013-01-13)
Ergodic automorphisms with simple spectrum characterized by fast correlation decay

Links

Toolbox