Nonextensive Entropy: Interdisciplinary ApplicationsMurray Gell-Mann, Constantino Tsallis Oxford University Press, 15/04/2004 - 440 من الصفحات 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. |
المحتوى
| 1 | |
Generalized Nonadditive Information Theory and Quantum Entanglement | 55 |
FixedPoint Universality and Nonextensive Entropy | 63 |
Nonextensive Entropies and Sensitivity to Initial Conditions of Complex Systems | 79 |
A Possible Foundation of Nonextensive Phenomena | 99 |
Nonextensive Effects in Hamiltonian Systems | 113 |
A Hamiltonian Approach for Tsallis Thermostatistics | 123 |
Nonequilibrium Systems | 139 |
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 HighFrequency StockMarket Observables | 321 |
Entropic Subextensivity in Language and Learning | 335 |
A Generalization of the ZipfMandelbrot Law in Linguistics | 347 |
CoarseGraining Scaling and Hierarchies | 357 |
Temperature Fluctuations and Mixtures of Equilibrium States in the Canonical Ensemble | 159 |
On the Role of NonGaussian Noises on NoiseInduced Phenomena | 177 |
A Dripping Faucet as a Nonextensive System | 195 |
An Ideal Test Bed for Climate Models | 207 |
Between Noise and Homeorrhetic Constraints | 221 |
The Architecture of Complex Systems | 377 |
Effective Complexity | 387 |
| 399 | |
طبعات أخرى - عرض جميع المقتطفات
عبارات ومصطلحات مألوفة
analysis anomalous Applications associated attractor average Baldovin Boltzmann-Gibbs canonical ensemble cell chaotic characterized Constantino Tsallis constraint correlation function corresponding critical defined described diffusion dynamics e-mail edge of chaos energy ensemble epileptic equation equilibrium evolution example exponential figure finite fixed points fractal frequency Gaussian genome hierarchical increase initial conditions interactions Latora Lett linear logistic map long-range Lyapunov exponent measure microscopic multifractal Murray Gell-Mann networks noise non-Gaussian noncoding nonextensive entropy Nonextensive Statistical Mechanics nonlinear normalized observed obtained option parameters particles phase space phenomena Phys physical Plastino power-law probability distribution properties q-exponential quantum random Rapisarda regime Santa Fe Institute scaling seizure sensitivity to initial sequences Shannon Shannon wavelet simulations species statistical mechanics stochastic structure temperature fluctuations theory Thermodynamics thermostatistics tion Tsallis entropy Tsallis Statistics University Press value of q variables velocity volume wavelet entropy Zipf-Mandelbrot law
مقاطع مشهورة
الصفحة vi - Since its founding, SFI has devoted itself to creating a new kind of scientific research community, pursuing emerging science. Operating as a small, visiting institution, SFI seeks to catalyze new collaborative, multidisciplinary projects that break down the barriers between the traditional disciplines, to spread its ideas and methodologies to other individuals, and to encourage the practical applications of its results. All titles from the Santa Fe Institute Studies in the Sciences of Complexity...
الصفحة vii - Dr. George A. Cowan Visiting Scientist, Santa Fe Institute and Senior Fellow Emeritus, Los Alamos National Laboratory Prof. Marcus W. Feldman Director, Institute for Population & Resource Studies, Stanford University Prof. Murray Gell-Mann Division of Physics & Astronomy, California Institute of Technology Prof.