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Geometry and Analysis of Fractals

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Cover of 'Geometry and Analysis of Fractals'

Table of Contents

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    Book Overview
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    Chapter 1 Mandelbrot Cascades and Related Topics
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    Chapter 2 Law of Pure Types and Some Exotic Spectra of Fractal Spectral Measures
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    Chapter 3 The Role of Transfer Operators and Shifts in the Study of Fractals: Encoding-Models, Analysis and Geometry, Commutative and Non-commutative
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    Chapter 4 Generalized Energy Inequalities and Higher Multifractal Moments
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    Chapter 5 Some Aspects of Multifractal Analysis
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    Chapter 6 Heat Kernels on Metric Measure Spaces
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    Chapter 7 Stochastic Completeness of Jump Processes on Metric Measure Spaces
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    Chapter 8 Self Similar Sets, Entropy and Additive Combinatorics
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    Chapter 9 Quasisymmetric Modification of Metrics on Self-Similar Sets
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    Chapter 10 Recent Progress on Dimensions of Projections
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    Chapter 11 The Geometry of Fractal Percolation
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    Chapter 12 Self-affine Sets and the Continuity of Subadditive Pressure
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    Chapter 13 Stability Properties of Fractal Curvatures
Attention for Chapter 5: Some Aspects of Multifractal Analysis
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