Dynamics, Thermodynamic formalism and Perturbations of Transcendental Entire Functions of Finite Singular Type
Description:
In this dissertation, we study the dynamics, fractal geometry and the topology of the Julia set of functions in the family H which is a set in the class S, the Speiser class of entire transcendental functions which have only finitely many singular values. One can think of a function from H as a generalized expanding function from the cosh family. We shall build a version of thermodynamic formalism for functions in H and we shall show among others, the existence and uniqueness of a conformal mea…
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Date:
May 2005
Creator:
Coiculescu, Ion
Partner:
UNT Libraries