Boundary distortion rate in synchronized systems: Geometrical meaning of entropy

Authors:
S. A. Komech
Affiliations:
Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
Venue:
Problems of Information Transmission
Year:
2012

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Coded systems

Theoretical Computer Science
Entropy of Hidden Markov Processes and Connections to Dynamical Systems: Papers from the Banff International Research Station Workshop

Entropy of Hidden Markov Processes and Connections to Dynamical Systems: Papers from the Banff International Research Station Workshop

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Abstract

The geometrical meaning of the Kolmogorov entropy is studied. The relation between the entropy and boundary distortion rate in the phase space is obtained for a wide class of symbolic dynamical systems, namely synchronized systems.