7 citations · 12 across the 4 of their papers we have counts for
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Ergodic properties of sub-hyperbolic functions with polynomial Schwarzian derivative
Volker Mayer, Mariusz Urbański
The ergodic theory and geometry of the Julia set of meromorphic functions on the complex plane with polynomial Schwarzian derivative is investigated under the condition that the fo…
The size of the Julia set of meromorphic functions
Volker Mayer
We give a lower bound of the hyperbolic and the Hausdorff dimension of the Julia set of meromorphic functions of finite order under very general conditions.
Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of finite order
Volker Mayer, Mariusz Urbanski
We first use Nevanlinna theory to provide full thermodynamical formalism for a very general class of meromorphic functions of finite order. Finer stochastic properties of the Perro…
Geometric Thermodynamical Formalism and Real Analyticity for Meromorphic Functions of Finite Order
Volker Mayer, Mariusz Urbanski
Working with well chosen Riemannian metrics and employing Nevanlinna's theory, we make the thermodynamical formalism work for a wide class of hyperbolic meromorphic functions of fi…