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The failure of Ruelle's property for entire functions

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dc.abstract.enWe 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.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorMayer, Volker
dc.contributor.authorZdunik, Anna
dc.date.accessioned2024-01-26T10:12:56Z
dc.date.available2024-01-26T10:12:56Z
dc.date.issued2021
dc.description.financePublikacja bezkosztowa
dc.description.volume384
dc.identifier.doi10.1016/J.AIM.2021.107723
dc.identifier.issn0001-8708
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/122302
dc.identifier.weblinkhttps://api.elsevier.com/content/article/PII:S0001870821001614?httpAccept=text/xml
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofAdvances in Mathematics
dc.relation.pages107723
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enHolomorphic dynamics
dc.subject.enMeromorphic functions
dc.subject.enRuelle's property
dc.titleThe failure of Ruelle's property for entire functions
dc.typeJournalArticle
dspace.entity.typePublication