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Lyapunov optimizing measures for C1 expanding maps of the circle

Published online by Cambridge University Press:  15 October 2008

OLIVER JENKINSON  and
IAN D. MORRIS
OLIVER JENKINSON
Affiliation:
School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, UK (email: omj@maths.qmul.ac.uk)
IAN D. MORRIS
Affiliation:
School of Mathematics, University of Manchester, Sackville Street, Manchester M60 1QD, UK Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK (email: ian.morris@warwick.ac.uk)
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Abstract

For a generic C1 expanding map of the circle, the Lyapunov maximizing measure is unique and fully supported, and has zero entropy.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 28 , Issue 6 , December 2008 , pp. 1849 - 1860
Copyright
Copyright © 2008 Cambridge University Press

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