English

Speedups of compact group extensions

Dynamical Systems 2011-12-20 v1

Abstract

Let S_1 and S_2 be ergodic extensions of finite measure preserving transformations T_1 and T_2, where the extensions are by rotations of a compact group G. Then there is an N-valued function k, measurable with respect to the factor T_1, so that S_1^{k} is isomorphic to S_2 by an isomorphism that respects the action of G on fibers.

Keywords

Cite

@article{arxiv.1112.4377,
  title  = {Speedups of compact group extensions},
  author = {Andrey Babichev and Adam Fieldsteel},
  journal= {arXiv preprint arXiv:1112.4377},
  year   = {2011}
}
R2 v1 2026-06-21T19:53:49.081Z