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Convergence of the transfer operator for rational maps

Published online by Cambridge University Press:  01 June 1999

NICOLAI HAYDN
NICOLAI HAYDN
Affiliation:
Mathematics Department, University of Southern California, Los Angeles, 90089-1113, USA (e-mail: nhaydn@math.usc.edu)
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Abstract

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We prove that the transfer operator for a general class of rational maps converges exponentially fast in the supremum norm and in Hölder norms, for small enough Hölder exponents, to its principal eigendirection.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 3 , June 1999, pp. 657 - 669
Copyright
1999 Cambridge University Press