10 citations · 31 across the 14 of their papers we have counts for
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math.DS2007★ 2 cited
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…
math.DS2007★ 3 cited
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.
math.DS2007
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…