Fundamental Theories of Physics

Maximum Entropy, Information Without Probability and Complex Fractals

Classical and Quantum Approach

Authors: Jumarie, Guy

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About this book

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.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-94-015-9496-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA
  • ISBN 978-0-7923-6330-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-90-481-5467-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Maximum Entropy, Information Without Probability and Complex Fractals
Book Subtitle
Classical and Quantum Approach
Authors
Series Title
Fundamental Theories of Physics
Series Volume
112
Copyright
2000
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-015-9496-7
DOI
10.1007/978-94-015-9496-7
Hardcover ISBN
978-0-7923-6330-9
Softcover ISBN
978-90-481-5467-8
Series ISSN
0168-1222
Edition Number
1
Number of Pages
XIX, 270
Topics