The Kolmogorov Legacy in Physics (Google eBook)

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Angelo Vulpiani, Roberto Livi
Springer Science & Business Media, Dec 2, 2003 - Mathematics - 246 pages
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The present volume, published at the occasion of his 100th birthday anniversary, is a collection of articles that reviews the impact of Kolomogorov's work in the physical sciences and provides an introduction to the modern developments that have been triggered in this way to encompass recent applications in biology, chemistry, information sciences and finance. This book addresses scientists and postgraduate students in applied mathematics and theoretical physics.

  

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Contents

Kolmogorov Pathways from Integrability to Chaos and Beyond
3
From Regular to Chaotic Motions through the Work of Kolmogorov
33
Dynamics at the Border of Chaos and Order
61
Algorithmic Complexity and Information Theory
83
Kolmogorovs Legacy about Entropy Chaos and Complexity
85
Complexity and Intelligence
109
Information Complexity and Biology
123
Turbulence
147
Fully Developed Turbulence
149
Turbulence and Stochastic Processes
173
Front Propagation and Spatial Structures
187
Applications of Probability Theory
211
From Kolmogorov to Renormalization Group
213
From Batcheliers Random Walks to Multifractal Cascades
229
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About the author (2003)

Angelo Vulpiani is a Professor of Theoretical Physics at the University of Rome Sapienza , and is a Fellow of the Institute of Physics. His research interests are statistical mechanics, dynamical systems, turbulence, transport and reaction-diffusion in fluids.

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