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On the independence of correlated events
Author(s) -
Levine R. D.
Publication year - 1999
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/(sici)1097-461x(1999)74:5<467::aid-qua4>3.0.co;2-e
Subject(s) - independence (probability theory) , variable (mathematics) , statistical physics , mathematics , theoretical physics , physics , statistics , mathematical analysis
Why do some quite complex events appear to be built up from seemingly independent elementary events? It is, of course, fortunate that this is so, for otherwise, it would be hard to analyze the world around us. But the technical question remains. It is here argued that a sufficient condition is that the possible complex events all have the same sum(s) for (one or more) additive variable(s). Constants of the motion are one example of such variables. In addition, it is shown that the independent distribution of the elementary events is one of maximal entropy. ©1999 John Wiley & Sons, Inc. Int J Quant Chem 74: 467–478, 1999