Critical Phenomena in Natural Sciences : Chaos, Fractals, Selforganization and Disorder: Concepts and Tools

Concepts, methods and techniques of statistical physics in the study of correlated, as well as uncorrelated, phenomena are being applied ever increasingly in the natural sciences, biology and economics in an attempt to understand and model the large variability and risks of phenomena. This is the fi...

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Détails bibliographiques
Auteur principal: Sornette, Didier
Format: Livre numérique
Langue:Anglais
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Springer e-books [20..].
Cham : Springer Nature
Édition:Second Edition.
Collection:Springer Series in Synergetics
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Note: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Critical phenomena in natural sciences, chaos, fractals, selforganization, and disorder, concepts and tools, Didier Sornette, Second edition, 2006, Berlin, Springer, 1 vol. (XXII-528 p.), Springer complexity, 978-3-540-30882-9
Table des matières:
  • Useful Notions of Probability Theory Sums of Random Variables, Random Walks and the Central Limit Theorem Large Deviations Power Law Distributions Fractals and Multifractals Rank-Ordering Statistics and Heavy Tails Statistical Mechanics: Probabilistic Point of View and the Concept of Temperature Long-Range Correlations Phase Transitions: Critical Phenomena and First-Order Transitions Transitions, Bifurcations and Precursors The Renormalization Group The Percolation Model Rupture Models Mechanisms for Power Laws Self-Organized Criticality to the Physics of Random Systems Randomness and Long-Range Laplacian Interactions