Open Conformal Systems and Perturbations of Transfer Operators

Open Conformal Systems and Perturbations of Transfer Operators
Author :
Publisher : Springer
Total Pages : 207
Release :
ISBN-10 : 9783319721798
ISBN-13 : 3319721798
Rating : 4/5 (798 Downloads)

Book Synopsis Open Conformal Systems and Perturbations of Transfer Operators by : Mark Pollicott

Download or read book Open Conformal Systems and Perturbations of Transfer Operators written by Mark Pollicott and published by Springer. This book was released on 2018-02-05 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The asymptotic existence of escape rates is proved and they are calculated in the context of (finite or infinite) countable alphabets, uniformly contracting conformal graph-directed Markov systems, and in particular, conformal countable alphabet iterated function systems. These results have direct applications to interval maps, rational functions and meromorphic maps. Towards this goal the authors develop, on a purely symbolic level, a theory of singular perturbations of Perron--Frobenius (transfer) operators associated with countable alphabet subshifts of finite type and Hölder continuous summable potentials. This leads to a fairly full account of the structure of the corresponding open dynamical systems and their associated surviving sets.


Open Conformal Systems and Perturbations of Transfer Operators Related Books

Open Conformal Systems and Perturbations of Transfer Operators
Language: en
Pages: 207
Authors: Mark Pollicott
Categories: Mathematics
Type: BOOK - Published: 2018-02-05 - Publisher: Springer

DOWNLOAD EBOOK

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 und
Open Conformal Systems and Perturbations of Transfer Operators
Language: en
Pages: 204
Authors: Mark Pollicott
Categories: Differentiable dynamical systems
Type: BOOK - Published: 2017 - Publisher:

DOWNLOAD EBOOK

Finer Thermodynamic Formalism – Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry
Language: en
Pages: 524
Authors: Mariusz Urbański
Categories: Mathematics
Type: BOOK - Published: 2022-05-23 - Publisher: Walter de Gruyter GmbH & Co KG

DOWNLOAD EBOOK

The book contains a detailed treatment of thermodynamic formalism on general compact metrizable spaces. Topological pressure, topological entropy, variational p
Open Quantum Systems II
Language: en
Pages: 254
Authors: Stéphane Attal
Categories: Mathematics
Type: BOOK - Published: 2006-08-29 - Publisher: Springer

DOWNLOAD EBOOK

Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental
Open Quantum Systems III
Language: en
Pages: 326
Authors: Stéphane Attal
Categories: Mathematics
Type: BOOK - Published: 2006-08-18 - Publisher: Springer

DOWNLOAD EBOOK

This volume is the third and last of a series devoted to the lecture notes of the Grenoble Summer School on “Open Quantum Systems” which took place at the t