Roberto Livi, Stefano Ruffo, Dima Shepelyansky (auth.), Roberto Livi, Angelo Vulpiani (eds.)2-7011-3558-3, 3540203079
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.
Table of contents :
Kolmogorov Pathways from Integrability to Chaos and Beyond….Pages 3-32
From Regular to Chaotic Motions through the Work of Kolmogorov….Pages 33-59
Dynamics at the Border of Chaos and Order….Pages 61-82
Kolmogorov’s Legacy about Entropy, Chaos, and Complexity….Pages 85-108
Complexity and Intelligence….Pages 109-121
Information Complexity and Biology….Pages 123-146
Fully Developed Turbulence….Pages 149-172
Turbulence and Stochastic Processes….Pages 173-186
Reaction-Diffusion Systems: Front Propagation and Spatial Structures….Pages 187-210
Self-Similar Random Fields: From Kolmogorov to Renormalization Group….Pages 213-227
Financial Time Series: From Batchelier’s Random Walks to Multifractal ‘Cascades’….Pages 229-246
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