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Nonextensive Entropy: Interdisciplinary Applications [NOOK Book]

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...
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Nonextensive Entropy: 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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Product Details

Meet the Author

Sante Fe Institute

Brazilian Center for Physics Research

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Table of Contents

Preface
Nonextensive statistical mechanics : construction and physical interpretation 1
Generalized nonadditive information theory and quantum entanglement 55
Unifying laws in multidisciplinary power-law phenomena : fixed-point universality and nonextensive entropy 63
Nonextensive entropies and sensitivity to initial conditions of complex systems 79
Numerical analysis of conservative maps : a possible foundation of nonextensive phenomena 99
Nonextensive effects in Hamiltonian systems 113
A Hamiltonian approach for Tsallis thermostatistics 123
Nonequilibrium systems 139
Temperature fluctuations and mixture of equilibrium states in the canonical ensemble 159
On the role of non-Gaussian noises on noise-induced phenomena 177
A dripping faucet as a nonextensive system 195
Power-law persistence in the atmosphere : an ideal test bed for climate models 207
The living state of matter : between noise and homeorrhetic constraints 221
Plant spread dynamics and spatial patterns in forest ecology 243
Generalized information measures and the analysis of brain electrical signals 261
Nonextensive diffusion entropy analysis and teen birth phenomena 295
The pricing of stock options 305
Distributions of high-frequency stock-market observables 321
Entropic subextensivity in language and learning 335
A generalization of the Zipf-Mandelbrot law in linguistics 347
Coarse-Graining, scaling, and hierarchies 357
The architecture of complex systems 377
Effective complexity 387
Index 399
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  • Anonymous

    Posted October 5, 2014

    Ush

    Yeah...

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    Posted September 10, 2014

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