Fractal Geometry and Stochastics III

Lieferzeit: Lieferbar innerhalb 14 Tagen

106,99 

Progress in Probability 57

ISBN: 3034896123
ISBN 13: 9783034896122
Herausgeber: Christoph Bandt/Umberto Mosco/Martina Zähle
Verlag: Springer Basel AG
Umfang: x, 262 S., 10 s/w Illustr.
Erscheinungsdatum: 23.10.2012
Auflage: 1/2004
Produktform: Kartoniert
Einband: KT

Written by top experts from all over the worldSurveys leading from an introduction to the edge of researchDevelops tools for a deep understanding of fractals

Artikelnummer: 5524171 Kategorie:

Beschreibung

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Autorenporträt

Inhaltsangabe1. Fractal Sets and Measures.- Markov Operators and Semifractals.- On Various Multifractal Spectra.- One-Dimensional Moran Sets and the Spectrum of Schrödinger Operators.- 2. Fractals and Dynamical Systems.- Small-scale Structure via Flows.- Hausdorff Dimension of Hyperbolic Attractors in $$ {\mathbb{R}^3}$$.- The Exponent of Convergence of Kleinian Groups; on a Theorem of Bishop and Jones.- Lyapunov Exponents Are not Rigid with Respect to Arithmetic Subsequences.- 3. Stochastic Processes and Random fractals.- Some Topics in the Theory of Multiplicative Chaos.- Intersection Exponents and the Multifractal Spectrum for Measures on Brownian Paths.- Additive Lévy Processes: Capacity and Hausdorff Dimension.- 4. Fractal Analysis in Euclidean Space.- The Fractal Laplacian and Multifractal Quantities.- Geometric Representations of Currents and Distributions.- Variational Principles and Transmission Conditions for Fractal Layers.- 5. Harmonic Analysis on Fractals.- Function Spaces and Stochastic Processes on Fractals.- A Dirichlet Form on the Sierpinski Gasket, Related Function Spaces, and Traces.- Spectral Zeta Function of Symmetric Fractals.

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