Mariusz Urbanski Bernd O. Stratmann
Real Analyticity of Topological Pressure \\ for Parabolically Semihyperbolic Generalized Polynomial-Like Maps
Preprint series: Mathematica Gottingensis
MSC:
30C55 General theory of univalent and multivalent functions
32A30 Other generalizations of function theory of one complex variable (should also be assigned at least one classification number from Section 30), {For functions of several hypercomplex variables, See 30G35}
ZDM: I80
Abstract: For arbitrary parabolically semihyperbolic generalized
polynomial-like maps f, we
prove that on a certain interval, which contains the
interval (0,\HD(J(f))), the pressure function
t -> P(-t\log|f'|) is real-analytic.
Our results generalize the work of Makarov and Smirnov.

Keywords: Ergodic Theory, Iteration of Polynomial-like Maps, Topological Pressure.