Open Conformal Systems and Perturbations of Transfer Operators (Paperback)

Language: English

Published by Springer International Publishing AG, Cham, 2018

331972178X / 9783319721781

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Paperback. 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 Hoelder continuous summable potentials. This leads to a fairly full account of the structure of the corresponding open dynamical systems and their associated surviving sets. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Title
Open Conformal Systems and Perturbations of Transfer Operators (Paperback)
Author
Mark Pollicott
Publisher
Springer International Publishing AG, Cham
Publication year
2018
Condition
new
Binding
Paperback
Language
English
ISBN 10
331972178X
ISBN 13
9783319721781
Edition
1st Edition

AussieBookSeller

Truganina, VIC, Australia

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AbeBooks seller since June 22, 2007

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