Necessary and Sufficient Condition for Stability of Generalized Expectation Value

Aziz El Kaabouchi and Sumiyoshi Abe

Journal of Applied Mathematics, 2011, vol. 2011, 1-7

Abstract:

A class of generalized definitions of expectation value is often employed in nonequilibrium statistical mechanics for complex systems. Here, the necessary and sufficient condition is presented for such a class to be stable under small deformations of a given arbitrary probability distribution.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:804836

DOI: 10.1155/2011/804836

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