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arXiv · 0910.4185

Stationary dynamical systems

Hillel Furstenberg·Eli Glasner
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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).

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Hillel Furstenberg, Eli Glasner. 2009-10-21. Stationary dynamical systems. https://arxiv.org/abs/0910.4185

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