Open Conformal Systems and Perturbations of Transfer Operators

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Open Conformal Systems and Perturbations of Transfer Operators
Open Conformal Systems and Perturbations of Transfer Operators By Mark Pollicott
English | PDF,EPUB | 2017 | 207 Pages | ISBN : 331972178X | 5.8 MB

The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to zero. In the case of hyperbolic conformal systems this has been addressed by various authors. The conformal maps considered in this book are far more general, and the analysis correspondingly more involved.

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