Nonextensive Entropy (Santa Fe Institute Studies in the Science of Complexity Series): Interdisciplinary Applications

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Overview


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 approaches involving 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 these ideas.
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Editorial Reviews

From the Publisher

"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

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Product Details

Meet the Author

Sante Fe Institute

Brazilian Center for Physics Research

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Table of Contents

Preface, Murray Gell-Mann and Constantino Tsallis
Nonextensive Statistical Mechanics: Construction and Physical Interpretation, Constantino Tsallis
Generalized Nonadditive Information Theory and Qunatum Entanglement, Sumiyoshi Abe
Unifying Laws in Multidisciplinary Power-Law Phenomena: Fixed-Point Universality and Nonextensive Entropy, Alberto Robledo
Nonextensive Entropies and Sensitivity to Initial Conditions of Complex Systems, Marcelo L. Lyra
Numberical Analysis of Conservative Maps: A Possible Foundation of Nonextensive Phenomena, Fulvio Baldovin
Nonextensive Effects in Hamiltonian Systems, Andrea Rapisarda and Vito Latora
A Hamiltonian Approach for Tsallis Systems, J. S. de Andrade, Jr., M. P. Almeida, A. A. Moreira, A. B. Abid, and G. A. Farias
Nonequilibrium Systems, Robin Stinchombe
Temperature Fluctuations and Mixtures of Equilibrium States in the Canonical Ensemble, Hugo Touchette
On the Role of Non-Gaussian Noises on Noise-Induced Phenomena, Horacio Wio
A Dripping Fucet as a Nonextensive System, T. J. Penna, J. C. Sartorelli, R. D. Pinto, and W. M. Goncalves
Power-Law Persistence in the Atmosphere: An Ideal Test Bed For Climate Models, Armin Bunde, Jan Eichner, Rathinaswamy Govindan, Shlomo Havlin, Eva Koscielny-Bunde, Diego Rybski, and Dmitry Vjushin
The Living State of Matter: Between Noise and Homeorrhetic Constraints, Marcello Buiatti, Patrizia Bogani, Claudia Acquisti, Giuseppe Mersi, and Leone Fronzoni
Plant Spread Dynamics and Spatial Patterns in Forest Ecology, Sergio A. Cannas, Diana E. Marco, Sergio A. Paez, and Marcello A. Montemurro
Generalized Information Measures and the Analysis of Brain Electric Signals, A. Plastino, M. T. Martin, and O. Rosso
Nonextensive Diffusion Entropy Analysis and Teen Birth Phenomena, N. Scafetta, P. Grigolini, P. Hamilton, and B. J. West
The Pricing of Stock Options, Lisa Borland
Distributions of High-Frequency Stock-Market Observables, Robert Osorio, Lisa Borland, and Constantino Tsallis
Entropic Subextensivity in Language and Learning, Lukasz Debowski
A generalization of the Zipf-Mandelbrot Law in Linguistics, Marcelo A. Montemurro
Coarse-Graining, Scaling and Hierarchies, Juan Perez-Mercader
The Architecture of Complex Systems, Vito Latora and Massimo Marchiori
Effective Complexity, Murray Gell-Mann and Seth Lloyd
Index

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