Shen, Weixiao. (2003) On the measurable dynamics of real rational functions. Ergodic Theory and Dynamical Systems, Vol.23 (No.3). pp. 957-983. ISSN 0143-3857

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Abstract

Let f be a real rational function with all critical points on the extended real axis and of even order. Then: (1) f carries no invariant line field on the Julia set unless it is doubly covered by an integral torus endomorphism (a Lattés example); and (2) f|J(f) has only finitely many ergodic components.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Fluid dynamics, Teichmüller spaces, Julia sets, Geometry, Hyperbolic, Ergodic theory
Journal or Publication Title:	Ergodic Theory and Dynamical Systems
Publisher:	Cambridge University Press
ISSN:	0143-3857
Date:	June 2003
Volume:	Vol.23
Number:	No.3
Page Range:	pp. 957-983
Identification Number:	10.1017/S0143385702001311
Status:	Peer Reviewed
Access rights to Published version:	Open Access
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URI:	http://wrap.warwick.ac.uk/id/eprint/763

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