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International Conference: 2004 - Dynamical Systems and Applications
July 5-10, 2004

Antalya, Turkey

Organizers
Akca Haydar, Basem S. Attili, Boucherif Abdelkader, Cho Yeol Je, Covachev Valery, Gyori Istvan, Maksimov Vyacheslav, Stavroulakis Ioannis P.

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Generators of Probability Dynamical Systems
by
M. Ebrahimi
Vali E Asr University of Rafsandjan, IRAN

One of the important concepts in physics and mathematics is entropy. The concerning results can be improverd by dynamical systems and entropy theory techniques. In this paper the concept of entropy will be extended to the countable partitions and we investigate the ergodic properties of probability dynamical systems. In this respect we introduce the generators of probability dynamical systems. A version of Kolomogrov-Sinai theorem concerning the entropy of probability a dynamical system is given.

Date received: July 1, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calu-02.