22 citations · 30 across the 4 of their papers we have counts for
4 papers
Ergodic Theory, Geometric Measure Theory, Conformal Measures and the Dynamics of Elliptic Functions
Janina Kotus, Mariusz Urbanski
The ultimate goal of our book is to present a unified approach to the dynamics, ergodic theory, and geometry of elliptic functions from $\C$ to $\oc$. We consider elliptic function…
On the Hausdorff dimension of the escaping set of certain meromorphic functions
Walter Bergweiler, Janina Kotus
The escaping set I(f) of a transcendental meromorphic function f consists of all points which tend to infinity under iteration. The Eremenko-Lyubich class B consists of all transce…
No Finite Invariant Density for Misiurewicz Exponential Maps
Janina Kotus, Grzegorz Swiatek
For exponential mappings such that the orbit of the only singular value 0 is bounded, it is shown that no integrable density invariant under the dynamics exists on the complex plan…
Dynamics of the family lambda tan z
Linda Keen, Janina Kotus
We study the dynamics of the tangent family z -> lambda tan z for lambda complex and give a complete classification of their stable behavior. We also characterize the the hyperboli…