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Fractal Geometry and Stochastics III

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Cover of 'Fractal Geometry and Stochastics III'

Table of Contents

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    Book Overview
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    Chapter 1 Markov Operators and Semifractals
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    Chapter 2 On Various Multifractal Spectra
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    Chapter 3 One-Dimensional Moran Sets and the Spectrum of Schrödinger Operators
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    Chapter 4 Small-scale Structure via Flows
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    Chapter 5 Hausdorff Dimension of Hyperbolic Attractors in ℝ 3
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    Chapter 6 The Exponent of Convergence of Kleinian Groups; on a Theorem of Bishop and Jones
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    Chapter 7 Lyapunov Exponents Are not Rigid with Respect to Arithmetic Subsequences
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    Chapter 8 Some Topics in the Theory of Multiplicative Chaos
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    Chapter 9 Intersection Exponents and the Multifractal Spectrum for Measures on Brownian Paths
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    Chapter 10 Additive Lévy Processes: Capacity and Hausdorff Dimension
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    Chapter 11 The Fractal Laplacian and Multifractal Quantities
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    Chapter 12 Geometric Representations of Currents and Distributions
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    Chapter 13 Variational Principles and Transmission Conditions for Fractal Layers
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    Chapter 14 Function Spaces and Stochastic Processes on Fractals
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    Chapter 15 A Dirichlet Form on the Sierpinski Gasket, Related Function Spaces, and Traces
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    Chapter 16 Spectral Zeta Function of Symmetric Fractals
Attention for Chapter 5: Hausdorff Dimension of Hyperbolic Attractors in ℝ 3
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