Rigidity and Dimension of the Harmonic Measure of Julia Sets PDF Download
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Author: Irina Popovici
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 190
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Author: Irina Popovici
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 190
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Book Description
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 636
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Author: Christoph Bandt
Publisher: Birkhäuser
ISBN: 3034877552
Category : Mathematics
Languages : en
Pages : 250
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Book Description
Fractal geometry is a new and promising field for researchers from different disciplines such as mathematics, physics, chemistry, biology and medicine. It is used to model complicated natural and technical phenomena. The most convincing models contain an element of randomness so that the combination of fractal geometry and stochastics arises in between these two fields. It contains contributions by outstanding mathematicians and is meant to highlight the principal directions of research in the area. The contributors were the main speakers attending the conference "Fractal Geometry and Stochastics" held at Finsterbergen, Germany, in June 1994. This was the first international conference ever to be held on the topic. The book is addressed to mathematicians and other scientists who are interested in the mathematical theory concerning: • Fractal sets and measures • Iterated function systems • Random fractals • Fractals and dynamical systems, and • Harmonic analysis on fractals. The reader will be introduced to the most recent results in these subjects. Researchers and graduate students alike will benefit from the clear expositions.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 578
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1770
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Author: Y. Komori
Publisher: Cambridge University Press
ISBN: 9781139437233
Category : Mathematics
Languages : en
Pages : 396
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Book Description
The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, with many old problems and conjectures close to resolution. This volume, proceedings of the Warwick workshop in September 2001, contains expositions of many of these breakthroughs including Minsky's lectures on the first half of the proof of the Ending Lamination Conjecture, the Bers Density Conjecture by Brock and Bromberg, the Tameness Conjecture by Kleineidam and Souto, the state of the art in cone manifolds by Hodgson and Kerckhoff, and the counter example to Thurston's K=2 conjecture by Epstein, Marden and Markovic. It also contains Jørgensen's famous paper 'On pairs of once punctured tori' in print for the first time. The excellent collection of papers here will appeal to graduate students, who will find much here to inspire them, and established researchers who will find this valuable as a snapshot of current research.
Author: Danijela Damjanovic
Publisher: Cambridge University Press
ISBN: 1009278908
Category : Mathematics
Languages : en
Pages : 445
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Book Description
Leading experts across smooth dynamics and ergodic theory present a broad research perspective and set an agenda for future work.
Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 850
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Author: Mario Bonk
Publisher: American Mathematical Soc.
ISBN: 082187554X
Category : Mathematics
Languages : en
Pages : 497
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Book Description
This monograph is devoted to the study of the dynamics of expanding Thurston maps under iteration. A Thurston map is a branched covering map on a two-dimensional topological sphere such that each critical point of the map has a finite orbit under iteration. It is called expanding if, roughly speaking, preimages of a fine open cover of the underlying sphere under iterates of the map become finer and finer as the order of the iterate increases. Every expanding Thurston map gives rise to a fractal space, called its visual sphere. Many dynamical properties of the map are encoded in the geometry of this visual sphere. For example, an expanding Thurston map is topologically conjugate to a rational map if and only if its visual sphere is quasisymmetrically equivalent to the Riemann sphere. This relation between dynamics and fractal geometry is the main focus for the investigations in this work. The book is an introduction to the subject. The prerequisites for the reader are modest and include some basic knowledge of complex analysis and topology. The book has an extensive appendix, where background material is reviewed such as orbifolds and branched covering maps.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 540
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