THE FAILURE OF RUELLE'S PROPERTY FOR ENTIRE FUNCTIONS

Mayer, Volker; Zdunik, Anna

Type de document :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1016/j.aim.2021.107723

Titre :

THE FAILURE OF RUELLE'S PROPERTY FOR ENTIRE FUNCTIONS

Auteur(s) :

Mayer, Volker [Auteur]

Université de Lille
Zdunik, Anna [Auteur]

Titre de la revue :

Advances in Mathematics

Pagination :

107723

Éditeur :

Elsevier

Date de publication :

2021-01-05

ISSN :

0001-8708

Discipline(s) HAL :

Mathématiques [math]

Résumé en anglais : [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 ...
Lire la suite >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.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :