arXiv:2007.15875 Abstract | arXiv Analytics

arXiv:2007.15875 [math.DS]Abstract References Reviews Resources

Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions

Published 2020-07-31Version 1

This text provides an overview of the (geometric) thermodynamic formalism for transcendental meromorphic and entire functions with particular emphasis on geometric/fractal aspects such as Bowen's Formula expressing the hyperbolic dimension as a unique zero of a pressure function and the behavior of the latter when the transcendental functions vary in an analytic family.

Comments: 36 pages

Categories: math.DS, math.CV

Subjects: 30D05, 37F10

Keywords: transcendental meromorphic, thermodynamic formalism, entire functions, geometric applications, transcendental functions vary

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