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Record Nr. |
UNINA9910810283803321 |
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Titolo |
Nonextensive entropy : interdisciplinary applications / / editors, Murray Gell-Mann, Constantino Tsallis |
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Pubbl/distr/stampa |
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New York, New York : , : Oxford University Press, , 2004 |
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©2004 |
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ISBN |
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0-19-756202-7 |
0-19-803621-3 |
1-280-70406-3 |
0-19-534785-4 |
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Descrizione fisica |
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1 online resource (439 p.) |
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Collana |
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Santa Fe Institute Studies on the Sciences of Complexity |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Previously issued in print: 2004. |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters and index. |
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Nota di contenuto |
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Contents; Preface; Nonextensive Statistical Mechanics: Construction and Physical Interpretation; Generalized Nonadditive Information Theory and Quantum Entanglement; Unifying Laws in Multidisciplinary Power-Law Phenomena: FixedPoint Universality and Nonextensive Entropy; Nonextensive Entropies and Sensitivity to Initial Conditions of Complex Systems; Numerical Analysis of Conservative Maps: A Possible Foundation of Nonextensive Phenomena; Nonextensive Effects in Hamiltonian Systems; A Hamiltonian Approach for Tsallis Thermostatistics; Nonequilibrium Systems |
Temperature Fluctuations and Mixtures of Equilibrium States in the Canonical EnsembleOn the Role of Non-Gaussian Noises on Noise-Induced Phenomena; A Dripping Faucet as a Nonextensive System; Power-Law Persistence in the Atmosphere: An Ideal Test Bed for Climate Models; The Living State of Matter: Between Noise and Homeorrhetic Constraints; Plant Spread Dynamics and Spatial Patterns in Forest Ecology; Generalized Information Measures and the Analysis of Brain Electrical Signals; Nonextensive Diffusion Entropy Analysis and Teen Birth Phenomena; The Pricing of Stock Options |
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Distributions of High-Frequency Stock-Market ObservablesEntropic Subextensivity in Language and Learning; A Generalization of the Zipf-Mandelbrot Law in Linguistics; Coarse-Graining, Scaling, and Hierarchies; The Architecture of Complex Systems; Effective Complexity; Index |
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Sommario/riassunto |
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A great variety of complex phenomena in many scientific fields exhibit power-law behaviour, reflecting a hierarchical or fractal structure. Many of these phenomena seem to be susceptible to description using approaches drawn from thermodynamics or statistical mechanics, particularly approaches involving the maximization of entropy. During recent years a good deal of study has been devoted to a nonextensive generalizations of entropy and of Boltzmann-Gibbs statistical mechanics and standard laws in a natural way. The book addresses the interdisciplinary applications of these ideas, and also on various phenomena that could possibly be quantitatively describable in terms of these ideas. |
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