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Fractal geometry and stochastics V [electronic resource] / Christoph Bandt, Kenneth Falconer, Martina Zähle, editors.

Conference on Fractal Geometry and Stochastics (5th : 2014 : Tabarz, Germany); Bandt, Christoph, editor.; Falconer, K. J., 1952- editor.; Zähle, Martina, 1950- editor.
2015
QA614.86
Available Online
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Title
Fractal geometry and stochastics V [electronic resource] / Christoph Bandt, Kenneth Falconer, Martina Zähle, editors.
Meeting Name
Conference on Fractal Geometry and Stochastics (5th : 2014 : Tabarz, Germany)
ISBN
9783319186603 electronic book
3319186604 electronic book
9783319186597
3319186590
Published
Cham : Birkhäuser, 2015.
Language
English
Description
1 online resource (x, 340 pages) : illustrations.
Call Number
QA614.86
Dewey Decimal Classification
514/.742
Summary
This book brings together leading contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014. The book is divided into five sections covering different facets of this fast developing area: geometric measure theory, self-similar fractals and recurrent structures, analysis and algebra on fractals, multifractal theory, and random constructions. There are state-of-the-art surveys as well as papers highlighting more specific recent advances. The authors are world-experts who present their topics comprehensibly and attractively. The book provides an accessible gateway to the subject for newcomers as well as a reference for recent developments for specialists. Authors include: Krzysztof Barański, Julien Barral, Kenneth Falconer, De-Jun Feng, Peter J. Grabner, Rostislav Grigorchuk, Michael Hinz, Stéphane Jaffard, Maarit Järvenpää, Antti Käenmäki, Marc Kesseböhmer, Michel Lapidus, Klaus Mecke, Mark Pollicott, Michał Rams, Pablo Shmerkin, and András Telcs.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed July 17, 2015).
Added Author
Bandt, Christoph, editor.
Falconer, K. J., 1952- editor.
Zähle, Martina, 1950- editor.
Series
Progress in probability ; volume 70.
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Preface
Introduction
Part 1: Geometric Measure Theory
Sixty Years of Fractal Projections
Scenery flow, conical densities, and rectifiability
The Shape of Anisotropic Fractals: Scaling of Minkowski Functionals
Projections of self-similar and related fractals: a survey of recent developments
Part 2: Self-similar Fractals and Recurrent Structures
Dimension of the graphs of the Weierstrass-type functions
Tiling Z2 by a set of four elements
Some recent developments in quantization of fractal measures
Apollonian Circle Packings
Entropy of Lyapunov-optimizing measures of some matrix cocycles
Part 3: Analysis and Algebra on Fractals
Poincaré functional equations, harmonic measures on Julia sets, and fractal zeta functions
From self-similar groups to self-similar sets and spectra
Finite energy coordinates and vector analysis on fractals
Fractal zeta functions and complex dimensions: A general higher-dimensional theory
Part 4: Multifractal Theory
Inverse problems in multifractal analysis
Multifractal analysis based on p-exponents and lacunarity exponents
Part 5: Random Constructions
Dimensions of Random Covering Sets
Expected lifetime and capacity.

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