Real analyticity of topological pressure for parabolically semihyperbolic generalized polynomial-like maps |
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| Authors: | Bernd Stratmann |
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| Institution: | a Mathematical Institute, University of St. Andrews, KY16 9SS, Scotland
b Dpartment of Mathematics, University of North Texas, P.O. Box 311430, USA |
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| 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 in 3] and 7]. |
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