Open Conformal Systems and Perturbations of Transfer Operators

• Κύριοι συγγραφείς: Pollicott, Mark (Συγγραφέας), Urbański, Mariusz (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Lecture Notes in Mathematics, 2206
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Functional analysis.; Functions of complex variables.; Measure theory.; Operator theory.; Dynamical Systems and Ergodic Theory.; Functional Analysis.; Functions of a Complex Variable.; Operator Theory.; Measure and Integration.

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...

Πίνακας περιεχομένων:

• 1. Introduction
• 2. Singular Perturbations of Classical Original Perron–Frobenius Operators on Countable Alphabet Symbol Spaces
• 3. Symbol Escape Rates and the Survivor Set K(Un)
• 4. Escape Rates for Conformal GDMSs and IFSs
• 5. Applications: Escape Rates for Multimodal Maps and One-Dimensional Complex Dynamics.