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Preface |
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Introduction |
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Part 1: Geometric Measure Theory |
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Sixty Years of Fractal Projections |
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Scenery flow, conical densities, and rectifiability |
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The Shape of Anisotropic Fractals: Scaling of Minkowski Functionals |
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Projections of self-similar and related fractals: a survey of recent developments |
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Part 2: Self-similar Fractals and Recurrent Structures |
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Dimension of the graphs of the Weierstrass-type functions |
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Tiling Z2 by a set of four elements |
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Some recent developments in quantization of fractal measures |
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Apollonian Circle Packings |
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Entropy of Lyapunov-optimizing measures of some matrix cocycles |
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Part 3: Analysis and Algebra on Fractals |
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Poincaré functional equations, harmonic measures on Julia sets, and fractal zeta functions |
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From self-similar groups to self-similar sets and spectra |
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Finite energy coordinates and vector analysis on fractals |
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Fractal zeta functions and complex dimensions: A general higher-dimensional theory |
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Part 4: Multifractal Theory |
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Inverse problems in multifractal analysis |
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Multifractal analysis based on p-exponents and lacunarity exponents |
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Part 5: Random Constructions |
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Dimensions of Random Covering Sets |
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Expected lifetime and capacity |
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Preface |
|
|
Introduction |
|
|
Part 1: Geometric Measure Theory |
|
ＥＢ
