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Fractal geometry and stochastics V

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Fractal geometry and stochastics V/ edited by Christoph Bandt, Kenneth Falconer, Martina Zahle.
other author:	Bandt, Christoph.
corporate name:	Workshop on the Preservation of Stability under Discretization
Published:	Cham :Springer International Publishing : : 2015.,
Description:	x, 340 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Fractals - Congresses. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-18660-3
ISBN:	9783319186603 (electronic bk.)

Fractal geometry and stochastics V
Fractal geometry and stochastics V[electronic resource] /edited by Christoph Bandt, Kenneth Falconer, Martina Zahle. - Cham :Springer International Publishing :2015. - x, 340 p. :ill. (some col.), digital ;24 cm. - Progress in probability,v.701050-6977 ;. - Progress in probability ;v.68..

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 -- Poincare 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.

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 Baranski, Julien Barral, Kenneth Falconer, De-Jun Feng, Peter J. Grabner, Rostislav Grigorchuk, Michael Hinz, Stephane Jaffard, Maarit Jarvenpaa, Antti Kaenmaki, Marc Kessebohmer, Michel Lapidus, Klaus Mecke, Mark Pollicott, Michal Rams, Pablo Shmerkin, and Andras Telcs.

ISBN: 9783319186603 (electronic bk.)

Standard No.: 10.1007/978-3-319-18660-3doiSubjects--Topical Terms:

1067397
Fractals
--Congresses.

LC Class. No.: QA614.86

Dewey Class. No.: 514.742

Fractal geometry and stochastics V
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245 1 0 $a Fractal geometry and stochastics V $h [electronic resource] / $c edited by Christoph Bandt, Kenneth Falconer, Martina Zahle.
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300 $a x, 340 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Progress in probability, $x 1050-6977 ; $v v.70
505 0 $a 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 -- Poincare 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.
520 $a 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 Baranski, Julien Barral, Kenneth Falconer, De-Jun Feng, Peter J. Grabner, Rostislav Grigorchuk, Michael Hinz, Stephane Jaffard, Maarit Jarvenpaa, Antti Kaenmaki, Marc Kessebohmer, Michel Lapidus, Klaus Mecke, Mark Pollicott, Michal Rams, Pablo Shmerkin, and Andras Telcs.
650 0 $a Fractals $v Congresses. $3 1067397
650 0 $a Stochastic processes $3 527899
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Geometry. $3 579899
650 2 4 $a Measure and Integration. $3 672015
700 1 $a Bandt, Christoph. $3 792259
700 1 $a Falconer, Kenneth. $3 1067396
700 1 $a Zahle, Martina. $3 792260
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Progress in probability ; $v v.68. $3 1067367
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-18660-3
950 $a Mathematics and Statistics (Springer-11649)