Stationary dynamical systems
Dynamical Systems
2009-10-23 v1 Group Theory
Abstract
Following works of Furstenberg and Nevo and Zimmer we present an outline of a theory of stationary (or m-stationary) dynamical systems for a general acting group G equipped with a probability measure m. Our purpose is two-fold: First to suggest a more abstract line of development, including a simple structure theory. Second, to point out some interesting applications; one of these is a Szemeredi type theorem for SL(2,R).
Cite
@article{arxiv.0910.4185,
title = {Stationary dynamical systems},
author = {Hillel Furstenberg and Eli Glasner},
journal= {arXiv preprint arXiv:0910.4185},
year = {2009}
}