Conformal Fractals: Ergodic Theory Methods
by F. Przytycki, M. Urbanski
Publisher: Cambridge University Press 2009
ISBN/ASIN: 0521438004
ISBN-13: 9780521438001
Number of pages: 362
Description:
This is a one-stop introduction to the methods of ergodic theory applied to holomorphic iteration. The authors begin with introductory chapters presenting the necessary tools from ergodic theory thermodynamical formalism, and then focus on recent developments in the field of 1-dimensional holomorphic iterations and underlying fractal sets, from the point of view of geometric measure theory and rigidity. Detailed proofs are included.
Download or read it online for free here:
Download link
(2.7MB, PDF)
Similar books
Math Aliveby Ingrid Daubechies, Shannon Hughes - Princeton University
Designed for those who haven't had college mathematics but would like to understand some applications: Cryptography; Error correction and compression; Probability and Statistics; Birth, Growth, Death and Chaos; Graph Theory; Voting and Social Choice.
(12777 views)
Uncertainty Theoryby Baoding Liu - Tsinghua University
Uncertainty theory is a branch of mathematics based on normality, monotonicity, self-duality, countable subadditivity, and product measure axioms. Uncertainty is any concept that satisfies the axioms of uncertainty theory ...
(7830 views)
Introductory Maths for Chemistsby J. E. Parker - Bookboon
This volume teaches Maths from a 'chemical' perspective and is the first of a three part series of texts taken during a first-year university course. It is the Maths required by a Chemist, or Chemical Engineer, Chemical Physicist, Biochemist,...
(14660 views)
Mathematics and Biology: The Interface, Challenges, and Opportunitiesby Simon A. Levin
This report explores the interface between biology and mathematics. It argues that the stimulation of biological application will enrich the discipline of mathematics for decades or more, as have applications from the physical sciences in the past.
(19427 views)