On thermodynamics of rational maps. II: Non-recurrent maps

N. Makarov, S. Smirnov

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)

Abstract

The pressure function p(t) of a non-recurrent map is real analytic on some interval (0, t*) with t* 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.

Original languageEnglish
Pages (from-to)417-432
Number of pages16
JournalJournal of the London Mathematical Society
Volume67
Issue number2
DOIs
Publication statusPublished - Apr 2003
Externally publishedYes

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