Ergodic Theory and Dynamical Systems

Research Article

An analogue of Bauer’s theorem for closed orbits of skew products

WILLIAM PARRYa1* and MARK POLLICOTTa1

a1 Department of Mathematics, University of Warwick, Coventry CV4 7AL, UK (email: m.pollicott@warwick.ac.uk)

Abstract

In this article we prove an analogue of Bauer’s theorem from algebraic number theory in the context of hyperbolic systems.

(Received April 26 2007)

(Revised July 24 2007)

Footnotes

* Bill Parry died before this paper was completed. I have attempted to write the paper as we had originally planned. All errors are entirely my responsibility. (M.P.)

Dedicated to the memory of Bill Parry