Maximum Entropy, Information Without Probability and Complex Fractals

Classical and Quantum Approach

By:

Guy Jumarie

Format:

Paperback / softback

Series:

Fundamental Theories of Physics

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Description

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.

Release date NZ

December 9th, 2010

Author

Guy Jumarie

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 2000

Illustrations

XIX, 270 p.

Pages

270

Series

Fundamental Theories of Physics

Dimensions

155x235x15

ISBN-13

9789048154678

Product ID

8941402

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