Critical Phenomena in Natural Sciences

Chaos, Fractals, Selforganization and Disorder: Concepts and Tools

Authors:

ISBN: 978-3-540-30882-9 (Print) 978-3-540-33182-7 (Online)

Table of contents (17 chapters)

  1. No Access

    Book Chapter

    Pages 1-31

    Useful Notions of Probability Theory

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    Book Chapter

    Pages 33-57

    Sums of Random Variables, Random Walks and the Central Limit Theorem

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    Book Chapter

    Pages 59-91

    Large Deviations

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    Book Chapter

    Pages 93-121

    Power Law Distributions

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    Book Chapter

    Pages 123-161

    Fractals and Multifractals

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    Book Chapter

    Pages 163-197

    Rank-Ordering Statistics and Heavy Tails

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    Book Chapter

    Pages 199-221

    Statistical Mechanics: Probabilistic Point of View and the Concept of “Temperature”

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    Book Chapter

    Pages 223-240

    Long-Range Correlations

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    Book Chapter

    Pages 241-254

    Phase Transitions: Critical Phenomena and First-Order Transitions

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    Book Chapter

    Pages 255-266

    Transitions, Bifurcations and Precursors

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    Book Chapter

    Pages 267-292

    The Renormalization Group

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    Book Chapter

    Pages 293-311

    The Percolation Model

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    Book Chapter

    Pages 313-344

    Rupture Models

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    Book Chapter

    Pages 345-394

    Mechanisms for Power Laws

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    Book Chapter

    Pages 395-439

    Self-Organized Criticality

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    Book Chapter

    Pages 441-456

    Introduction to the Physics of Random Systems

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    Book Chapter

    Pages 457-475

    Randomness and Long-Range Laplacian Interactions