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portada maximum entropy, information without probability and complex fractals
maximum entropy, information without probability and complex fractalsmaximum entropy, information without probability and complex fractalsmaximum entropy, information without probability and complex fractals
Type
Physical Book
Publisher
Author
Language
English
Pages
292
ISBN
0792363302
ISBN13
9780792363309

maximum entropy, information without probability and complex fractals

Jumarie (Author) · Springer · Physical Book

maximum entropy, information without probability and complex fractals - jumarie

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Synopsis "maximum entropy, information without probability and complex fractals"

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 (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.

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