Mayer, Volker, Zdunik, Anna
Published 2019-02-11Version 1
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.
Hyperbolic dimension and radial Julia sets of transcendental functions
The radial Julia set of $\exp(z)-2$ is zero-dimensional
On the boundary of an immediate attracting basin of a hyperbolic entire function
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