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OverviewThis book presents material on three topics, namely the amount of information involved in non-random functions, the amount of information involved in non-probabilistic square matrices (i.e. which are not quantum density matrices), and a new model of complex-valued fractional Brownian motion of order n defined via random walks in the complex plane. These three subjects, which on the surface have no common features, are, in fact, direct consequences of the maximum entropy principle. Moreover, information on non-random functions and complex fractional Brownian motion are directly related to fractals. Thus, a unified framework is constructed which encompasses information with and without probability, quantum information of square matrices with and without probabilistic meaning, and fractals in the complex plane. This volume also features many applications. Audience: This work is intended for theoretical and mathematical physicists, but also for applied mathematicians, experimental physicists, communication engineers, electrical engineers, practitioners in pattern recognition and computer vision, control systems engineers, and theoretical biologists. Full Product DetailsAuthor: Guy JumariePublisher: Springer Imprint: Springer Edition: Softcover reprint of the original 1st ed. 2000 Volume: 112 Dimensions: Width: 15.50cm , Height: 1.50cm , Length: 23.50cm Weight: 0.454kg ISBN: 9789048154678ISBN 10: 9048154677 Pages: 270 Publication Date: 09 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents1. Introduction.- 2. Summary of Information Theory.- 3. Path Entropies of Non Random Functions.- 4. Path Entropies of Random Functions and of Non-Random Distributed Functions.- 5. Quantum Entropies of Non-Probabilistic Square Matrices.- 6. Complex-Valued Fractional Brownian Motion of Order n. Part I.- 7. Complex-Valued Fractional Brownian Motion of Order n. Part II.- 8. Information Thermodynamics and Complex-Valued Fractional Brownian motion of Order n.- 9. Fractals, Path Entropy, and Fractional Fokker-Planck Equation.- 10. Outline of Applications.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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