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ON THERMODYNAMICS OF RATIONAL MAPS. II: NON-RECURRENT MAPS

Published online by Cambridge University Press:  24 March 2003

N. MAKAROV  and
S. SMIRNOV
N. MAKAROV
Affiliation:
Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USAmakarov@cco.caltech.edu
S. SMIRNOV
Affiliation:
Department of Mathematics, Royal Institute of Technology, SE-10044 Stockholm, Swedenstas@math.kth.se
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Abstract

The pressure function $p(t)$ of a non-recurrent map is real analytic on some interval ($0,t_\ast$) with $t_\ast$ strictly greater than the dimension of the Julia set. The proof is an adaptation of the well known tower techniques to the complex dynamics situation. In general, $p(t)$ need not be analytic on the whole positive axis.

Keywords

37F37A30C85
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 67 , Issue 2 , April 2003 , pp. 417 - 432
Copyright
The London Mathematical Society 2003

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