Nonextensive Entropy
Interdisciplinary Applications
Published on 29. April 2004
Book
Paperback/Softback
440 pages
978-0-19-515977-6 (ISBN)
Description
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.
Reviews / Votes
"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 anonextensive 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
More details
Series
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Illustrations
numerous figures & halftones
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 24 mm
Weight
664 gr
ISBN-13
978-0-19-515977-6 (9780195159776)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Murray Gell-mann | Constantino Tsallis
Nonextensive Entropy Interdisciplinary Application
Book
04/2004
Oxford University Press Inc
€100.28
Article exhausted; check different version
E-Book
04/2004
OUP eBook
€61.99
Available for download
Persons
Gell-Mann, Murray (Professor, Sante Fe Institute, USA) / Tsallis, Constantino (Brazilian Center for Physics, Brazil)
Content
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
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