THE FAILURE OF RUELLE'S PROPERTY FOR ENTIRE FUNCTIONS

Mayer, Volker; Zdunik, Anna

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1016/j.aim.2021.107723

Title :

THE FAILURE OF RUELLE'S PROPERTY FOR ENTIRE FUNCTIONS

Author(s) :

Mayer, Volker [Auteur]

Université de Lille
Zdunik, Anna [Auteur]

Journal title :

Advances in Mathematics

Pages :

107723

Publisher :

Elsevier

Publication date :

2021-01-05

ISSN :

0001-8708

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

We exhibit an analytic family of hyperbolic, even disjoint type, entire functions for which the hyperbolic dimension does not vary analytically. Additionally we answer several questions in thermodynamic formalism of entire ...
Show more >We exhibit an analytic family of hyperbolic, even disjoint type, entire functions for which the hyperbolic dimension does not vary analytically. Additionally we answer several questions in thermodynamic formalism of entire functions such as the existence of a hyperbolic entire function without conformal measure that is supported on the radial Julia set.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :