TY - BOOK AU - Sornette,Didier TI - Critical phenomena in natural sciences: chaos, fractals, selforganization, and disorder : concepts and tools T2 - Springer series in synergetics, SN - 9783540308829 (pbk.) U1 - 530.474 SOR 23 PY - 2006/// CY - New York PB - Springer KW - Critical phenomena (Physics) KW - Mathematical geography. KW - Statistical physics. N1 - 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 UR - http://openisbn.com/isbn/3540308822/ ER -