TY  - BOOK
AU  - Pollicott,Mark
AU  - Urbanski,Mariusz
TI  - Open conformal systems and perturbations of transfer operators
T2  - Lecture notes in mathematics
SN  - 9783319721781 (alk. paper)
U1  - 515.724 23
PY  - 2017///
CY  - Cham
PB  - Springer
KW  - Operator theory
N1  - 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
N2  - 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
ER  -