arXiv Analytics

Sign in

arXiv:1812.02077 [math.DS]AbstractReferencesReviewsResources

Ergodicity via continuity

Ivan Podvigin

Published 2018-12-05Version 1

We show that the ergodicity of an aperiodic automorphism of a Lebesgue space is equivalent to the continuity of a certain map on a metric Boolean algebra. A related characterization is also presented for periodic and totally ergodic transformations

Categories: math.DS
Subjects: 37A25, 28D05, 54C05
Related articles: Most relevant | Search more
arXiv:1603.06104 [math.DS] (Published 2016-03-19)
Continuity of attractors for a family of $C^1$ perturbations of the square
arXiv:1409.3511 [math.DS] (Published 2014-09-11)
Continuity of core entropy of quadratic polynomials
arXiv:1507.08978 [math.DS] (Published 2015-07-31)
Continuity of Lyapunov Exponents for Cocycles with Invariant Holonomies

Links

Toolbox