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Macroscopic descriptions of microscopic phenomena

Published online by Cambridge University Press:  17 April 2009

Peter D. Finch
Peter D. Finch
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria.
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Abstract

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Some problems in the behavioural and physical sciences arise in the context of an incomplete knowledge of the fine detail of underlying practical situations. This paper presents a general mathematical framework for the discussion of such problems. This framework provides an algebraic language for the discussion of ecological analysis in the social sciences, aggregation in economics and macroscopic descriptions in statistical physics. Here, however, only the mathematical framework is presented; detailed applications will be presented elsewhere.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 9 , Issue 3 , December 1973 , pp. 391 - 410
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Jaynes, E.T., “Information theory and statistical mechanics”, Phys. Rev. A 106 (1957), 620–630.CrossRefGoogle Scholar
[2]Jaynes, E.T., “Information theory and statistical mechanics”, Statistical physics, 181–218 (Brandeis University Summer Institute Lectures in Theoretical Physics, 1962, 3. W.A. Benjamin, New York, Amsterdam, 1963).Google Scholar
[3]Robinson, W.S., “Ecological correlations and the behavior of individuals”, Amer. Sociological Rev. 15 (1950), 351–357.CrossRefGoogle Scholar
[4]Theil, H., Linear aggregation of economic relations (Contributions to Economic Analysis, 7. North-Holland, Amsterdam, 1954).Google Scholar