 1  Author
 G. L. Hofacker, Lichtenbergstr, R. D. Levine  Requires cookie*   Title
    Abstract
 A principle of evolution of highly complex systems is proposed. It is based on extremal properties of the information I{X, 7) characterizing two states X and Y with respect to each other, I{X, Y) = H(Y) H{Y/X), where H(Y) is the entropy of state Y,H(Y/X) the entropy in state Y given the probability distribu tion P(X) and transition probabilities P(Y/X). As I(X, 7) is maximal in P(Y) but minimal in P(Y/X), the extremal properties of I(X, 7) con stitute a principle superior to the maximum entropy principle while containing the latter as a special case. The principle applies to complex systems evolving with time where fundamental equations are unknown or too difficult to solve. For the case of a system evolving from X to Y it is shown that the principle predicts a canonic distribution for a state Y with a fixed average energy <£>.   
Reference
 Z. Naturforsch. 43a, 73—77 (1988); received July 11 1987   
Published
 1988   
Keywords
 Mutual information, Channel capacity, Maximum entropy principle, Extremal pro perties of information   
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 default:Reihe_A/43/ZNA198843a0073.pdf    Identifier
 ZNA198843a0073    Volume
 43  
