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Convergence of the transfer operator for rational maps

Published online by Cambridge University Press:  01 June 1999

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

Abstract

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.

Type
Research Article
Copyright
1999 Cambridge University Press

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