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
Fractional Dynamicsby Carlo Cattani, et al. - De Gruyter Open Ltd
The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics.
(2016 views)
Linear Methods of Applied Mathematicsby Evans M. Harrell II, James V. Herod
This textbook is suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. The text concentrates on mathematical concepts rather than on details of calculations.
(10422 views)
Inside Out: Inverse Problems and Applicationsby Gunther Uhlmann - Cambridge University Press
In this book, experts in the theoretical and applied aspects of inverse problems offer extended surveys on important topics in the field, such as microlocal analysis, reflection seismology, tomography, inverse scattering, and X-ray transforms.
(8623 views)
Computational Modeling and Mathematics Applied to the Physical Sciences- National Academy Press
We examine several deep theoretical problems, including turbulence and combustion. At the frontiers of attack on these problems we discover the limitations imposed by our current understanding of model formulation and computational capability.
(2024 views)