Lebesgue Orbit Equivalence of Multidimensional Borel Flows
Dynamical Systems
2015-09-08 v2 Logic
Abstract
The main result of the paper is classification of free multidimensional Borel flows up to Lebesgue Orbit Equivalence, by which we understand an orbit equivalence that preserves the Lebesgue measure on each orbit. Two non smooth Euclidean flows are shown to be Lebesgue Orbit Equivalence if and only if they admit the same number of invariant ergodic probability measures.
Keywords
Cite
@article{arxiv.1504.00958,
title = {Lebesgue Orbit Equivalence of Multidimensional Borel Flows},
author = {Konstantin Slutsky},
journal= {arXiv preprint arXiv:1504.00958},
year = {2015}
}
Comments
Existence of cocompact cross sections is now properly attributed to Clinton Conley