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On the loss of information in the transition from deterministic systems to probabilistic processes

โœ Scribed by I. Assani; M. Courbage


Publisher
Springer
Year
1986
Tongue
English
Weight
298 KB
Volume
12
Category
Article
ISSN
0377-9017

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โœฆ Synopsis


In a previous work, Misra, Prigogine, and Courbage obtained Markov processes with a time-increasing entropy functional from unstable deterministic dynamic systems. Here we study the problem of the loss of information under the transition from the deterministic to the probabilistic one. We show that, although the transition may be one-to-one, it always entails a loss of information.


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