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Dynamical Systems and Related Topics Workshop
March 21-24, 1998
University of Maryland
College Park, MD, USA

Organizers
Mike Boyle, Brian Hunt, Jim Yorke

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Remarks on invariant measures for higher-rank hyperbolic abelian actions by toral endomorphisms.
by
Boris Kalinin
The Pennsylvania State University
Coauthors: Anatole Katok

We investigate invariant ergodic measures for higher-rank hyperbolic abelian actions by toral endomorphisms. The result of A. Katok and R. J. Spatzier states that under certain conditions such a measure is an extension of a zero-entropy measure in an algebraic factor with Haar conditional measures in fibers. We will explain the methods of filling gaps in the proof of this result.

Date received: March 17, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabf-25.