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Open conformal systems and perturbations of transfer operators / Mark Pollicott and Mariusz Urbanski.

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics ; 2206.Publication details: Cham : Springer, 2017.Description: xii, 201 pages ; 24 cmISBN:
  • 9783319721781 (alk. paper)
Subject(s): DDC classification:
  • 515.724 23 P774
Contents:
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 -- A. The Keller-Liverani perturbation therom.
Summary: 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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.724 P774 (Browse shelf(Opens below)) Available 138316
Total holds: 0

Includes bibliographical references and indexes.

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 --
A. The Keller-Liverani perturbation therom.

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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