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Critical phenomena in natural sciences : chaos, fractals, selforganization, and disorder : concepts and tools / Didier Sornette.

By: Material type: TextTextSeries: Springer series in synergetics | Springer complexityNew York : Springer, 2006Edition: 2nd edDescription: xxii, 528 p. : ill. ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9783540308829 (pbk.)
  • 3540308822 (acidfree paper)
Subject(s): DDC classification:
  • 23 530.474 SOR 002293
Online resources:
Contents:
1. Useful Notions of Probability Theory 2. Sums of Random Variables, Random Walks and the Central Limit Theorem 3. Large Deviations 4. Power Law Distributions 5. Fractals and Multifractals 6. Rank-Ordering Statistics and Heavy Tails 7. Statistical Mechanics: Probabilistic Point of View and the Concept of "Temperature" 8. Long-Range Correlations 9. Phase Transitions: Critical Phenomena and First-Order Transitions 10. Transitions, Bifurcations and Precursors 11. The Renormalization Group 12. The Percolation Model 13. Rupture Models 14. Mechanisms for Power Laws 15. Self-Organized Criticality 16. Introduction to the Physics of Random Systems 17. Randomness and Long-Range Laplacian Interactions.
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Includes bibliographical references (p. [477]-523) and index.

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

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