Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach: 112 - Rilegato
Sinossi
This 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 (ie which are not quantum density matrices), and a 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. 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.
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Contenuti
Preface. 1. 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. Index.
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Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach (Fundamental Theories of Physics, 112)
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Maximum Entropy, Information Without Probability and Complex Fractals
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Every thought is a throw of dice. Stephane Mallarme This book is the last one of a trilogy which reports a part of our research work over nearly thirty years (we discard our non-conventional results in automatic control theory and applications on the one hand, and fuzzy sets on the other), and its main key words are Information Theory, Entropy, Maximum Entropy Principle, Linguistics, Thermodynamics, Quantum Mechanics, Fractals, Fractional Brownian Motion, Stochastic Differential Equations of Order n, Stochastic Optimal Control, Computer Vision. Our obsession has been always the same: Shannon's information theory should play a basic role in the foundations of sciences, but subject to the condition that it be suitably generalized to allow us to deal with problems which are not necessarily related to communication engineering. With this objective in mind, two questions are of utmost importance: (i) How can we introduce meaning or significance of information in Shannon's information theory (ii) How can we define and/or measure the amount of information involved in a form or a pattern without using a probabilistic scheme It is obligatory to find suitable answers to these problems if we want to apply Shannon's theory to science with some chance of success. For instance, its use in biology has been very disappointing, for the very reason that the meaning of information is there of basic importance, and is not involved in this approach. 296 pp. Englisch. Codice articolo 9780792363309
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Every thought is a throw of dice. Stephane Mallarme This book is the last one of a trilogy which reports a part of our research work over nearly thirty years (we discard our non-conventional results in automatic control theory and applications on the one ha. Codice articolo 5969339
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Condizione: New. 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 (which are not quantum density matrices), and a model of complex-valued fractional Brownian motion of order n defined via random walks in the complex plane. Series: Fundamental Theories of Physics. Num Pages: 289 pages, biography. BIC Classification: GPF; PBW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 17. Weight in Grams: 1310. . 2000. 2000th Edition. hardcover. . . . . Codice articolo V9780792363309
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Buch. Condizione: Neu. Maximum Entropy, Information Without Probability and Complex Fractals | Classical and Quantum Approach | Guy Jumarie | Buch | Fundamental Theories of Physics | xix | Englisch | 2000 | Springer | EAN 9780792363309 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Codice articolo 102550026
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