Janina Kotus

HAUSDORFF DIMENSION AND HAUSDORFF MEASURES OF JULIA SETS OF ELLIPTIC FUNCTIONS

It is proved here that if

Geometry and ergodic theory of non-recurrent elliptic functions

f : {\rm C\!\!\!I} \rightarrow \bar{{\rm C\!\!\!I}}

On the Hausdorff dimension of the escaping set of certain meromorphic functions

is an elliptic function and

Elliptic Functions with Critical Orbits Approaching Infinity

q

Invariant measures for meromorphic Misiurewicz maps

is the maximal multiplicity of all poles of

Escaping points and escaping parameters for singly periodic meromorphic maps: Hausdorff dimensions outlook

f

Hausdorff dimension of sets of escaping points and escaping parameters for elliptic functions

, then the Hausdorff dimension of the Julia set of

Gibbs state for some class of meromorphic functions

f

Conformal, geometric and invariant measures for transcendental expanding functions

is greater than

Transcendental Dynamics and Complex Analysis: Fractal measures and ergodic theory of transcendental meromorphic functions

2q/(q+1)