THE FAILURE OF RUELLE'S PROPERTY FOR ENTIRE ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
THE FAILURE OF RUELLE'S PROPERTY FOR ENTIRE FUNCTIONS
Author(s) :
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 >
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
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