It takes the average reader 3 hours and 27 minutes to read Open Conformal Systems and Perturbations of Transfer Operators by Mark Pollicott
Assuming a reading speed of 250 words per minute. Learn more
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 by Mark Pollicott is 204 pages long, and a total of 51,816 words.
This makes it 69% the length of the average book. It also has 63% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 4 hours and 43 minutes to read Open Conformal Systems and Perturbations of Transfer Operators aloud.
Open Conformal Systems and Perturbations of Transfer Operators is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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