Buch

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Übersicht

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Verlag	:	Springer International Publishing
Buchreihe	:	Progress in Probability (Bd. 70)
Sprache	:	Englisch
Erschienen	:	15. 10. 2016
Seiten	:	340
Einband	:	Kartoniert
Höhe	:	235 mm
Breite	:	155 mm
Gewicht	:	539 g
ISBN	:	9783319361574
Sprache	:	Englisch

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Inhaltsverzeichnis

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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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