Fractal Geometry and Stochastics V
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 rec...
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| Other Authors: | , , |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2015.
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| Edition: | 1st ed. 2015. |
| Series: | Progress in Probability,
70 |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-319-18660-3 |
Table of Contents:
- 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.