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