On a Geometric Generalization of Entropy

On a Geometric Generalization of Entropy A new approach to the notion of a probability space is proposed. A stochastically measurable space is equipped with a geometric structure by introducing distances between elementary events. The probabilistic proximity space (in the discrete case) is used to generalize the notion of entropy. Entropy thus geometrized is shown to preserve all the former properties and also to acquire a previously unknown useful quality. This opens new possibilities in the area of information disciplines. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

On a Geometric Generalization of Entropy

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Publisher
Springer Journals
Copyright
Copyright © 2003 by MAIK “Nauka/Interperiodica”
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1023/A:1025196104258
Publisher site
See Article on Publisher Site

Abstract

A new approach to the notion of a probability space is proposed. A stochastically measurable space is equipped with a geometric structure by introducing distances between elementary events. The probabilistic proximity space (in the discrete case) is used to generalize the notion of entropy. Entropy thus geometrized is shown to preserve all the former properties and also to acquire a previously unknown useful quality. This opens new possibilities in the area of information disciplines.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 3, 2004

References

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