Nonextensive Entropy: Interdisciplinary Applications

Paperback | April 29, 2004

EditorMURRAY GELL-MANN, Constantino Tsallis

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A great variety of complex phenomena in many scientific fields exhibit power-law behavior, 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 approachesinvolving the maximization 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 theseideas.

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A great variety of complex phenomena in many scientific fields exhibit power-law behavior, 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 approachesinvolving the maximization of entropy and of...

Murray Gell-Mann is a Professor at Sante Fe Institute. Tsallis Constantino is at the Brazilian Center for Physics Research.

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Format:PaperbackDimensions:440 pages, 6.1 × 9.21 × 0.79 inPublished:April 29, 2004Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0195159772

ISBN - 13:9780195159776

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Table of Contents

Murray Gell-Mann and Constantino Tsallis: PrefaceConstantino Tsallis: Nonextensive Statistical Mechanics: Construction and Physical InterpretationSumiyoshi Abe: Generalized Nonadditive Information Theory and Quantum EntanglementAlberto Robledo: Unifying Laws in Multidisciplinary Power-Law Phenomena: Fixed-Point Universality and Nonextensive EntropyMarcelo L. Lyra: Nonextensive Entropies and Sensitivity to Initial Conditions of Complex SystemsFulvio Baldovin: Numberical Analysis of Conservative Maps: A Possible Foundation of Nonextensive PhenomenaAndrea Rapisarda and Vito Latora: Nonextensive Effects in Hamiltonian SystemsJ. S. de Andrade, Jr., M. P. Almeida, A. A. Moreira, A. B. Abid, and G. A. Farias: A Hamiltonian Approach for Tsallis SystemsRobin Stinchombe: Nonequilibrium SystemsHugo Touchette: Temperature Fluctuations and Mixtures of Equilibrium States in the Canonical EnsembleHoracio Wio: On the Role of Non-Gaussian Noises on Noise-Induced PhenomenaT. J. Penna, J. C. Sartorelli, R. D. Pinto, and W. M. Goncalves: A Dripping Faucet as a Nonextensive SystemArmin Bunde, Jan Eichner, Rathinaswamy Govindan, Shlomo Havlin, Eva Koscielny-Bunde, Diego Rybski, and Dmitry Vjushin: Power-Law Persistence in the Atmosphere: An Ideal Test Bed For Climate ModelsMarcello Buiatti, Patrizia Bogani, Claudia Acquisti, Giuseppe Mersi, and Leone Fronzoni: The Living State of Matter: Between Noise and Homeorrhetic ConstraintsSergio A. Cannas, Diana E. Marco, Sergio A. Paez, and Marcello A. Montemurro: Plant Spread Dynamics and Spatial Patterns in Forest EcologyA. Plastino, M. T. Martin, and O. Rosso: Generalized Information Measures and the Analysis of Brain Electric SignalsN. Scafetta, P. Grigolini, P. Hamilton, and B. J. West: Nonextensive Diffusion Entropy Analysis and Teen Birth PhenomenaLisa Borland: The Pricing of Stock OptionsRobert Osorio, Lisa Borland, and Constantino Tsallis: Distributions of High-Frequency Stock-Market ObservablesLukasz Debowski: Entropic Subextensivity in Language and LearningMarcelo A. Montemurro: A generalization of the Zipf-Mandelbrot Law in LinguisticsJuan Perez-Mercader: Coarse-Graining, Scaling and HierarchiesVito Latora and Massimo Marchiori: The Architecture of Complex SystemsMurray Gell-Mann and Seth Lloyd: Effective ComplexityIndex

Editorial Reviews

"Gell-Mann (Science Board, Santa Fe Institute) and Tsallis (Brazilian Center for Physics Research) present material on interdisciplinary applications of ideas related to the nonextensive generalization of entropy, Boltzmann- Gibbs statistical mechanics, and standard thermodynamics.Applications relate to dynamical, physical, geophysical, biological, economic, financial, and social systems, and to networks, linguistics, and plectics. A dripping faucet as a nonextensive system, the pricing of stock options, and spatial patterns in forest ecology are some subjects discussed.Material originated at an April 2002 workshop held at the Santa Fe Institute."--SciTech Book News