Mariusz Urbanski Bernd O. Stratmann
Real Analyticity of Topological Pressure \\ for Parabolically Semihyperbolic Generalized Polynomial-Like Maps
Preprint series: Mathematica Gottingensis
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.