Buch, Englisch, Band 70, 340 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 6506 g
Reihe: Progress in Probability
Buch, Englisch, Band 70, 340 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 6506 g
Reihe: Progress in Probability
ISBN: 978-3-319-18659-7
Verlag: Springer International Publishing
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
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.