Necessary and Sufficient Condition for Stability of Generalized Expectation Value

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.

Bibliographic Details
Main Authors: Aziz El Kaabouchi, Sumiyoshi Abe
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/804836