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Critical Phenomena in Natural Sciences

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Cover of 'Critical Phenomena in Natural Sciences'

Table of Contents

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    Book Overview
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    Chapter 1 Useful Notions of Probability Theory
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    Chapter 2 Sums of Random Variables, Random Walks and the Central Limit Theorem
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    Chapter 3 Large Deviations
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    Chapter 4 Power Law Distributions
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    Chapter 5 Fractals and Multifractals
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    Chapter 6 Rank-Ordering Statistics and Heavy Tails
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    Chapter 7 Statistical Mechanics: Probabilistic Point of View and the Concept of “Temperature”
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    Chapter 8 Long-Range Correlations
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    Chapter 9 Phase Transitions: Critical Phenomena and First-Order Transitions
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    Chapter 10 Transitions, Bifurcations and Precursors
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    Chapter 11 The Renormalization Group
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    Chapter 12 The Percolation Model
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    Chapter 13 Rupture Models
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    Chapter 14 Mechanisms for Power Laws
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    Chapter 15 Self-Organized Criticality
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    Chapter 16 Introduction to the Physics of Random Systems
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    Chapter 17 Randomness and Long-Range Laplacian Interactions
Attention for Chapter 2: Sums of Random Variables, Random Walks and the Central Limit Theorem
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