# Necessary and Sufficient Condition for Stability of Generalized Expectation Value

Authors: Aziz El Kaabouchi; Sumiyoshi Abe
Journal: Journal of Applied Mathematics
 (2011)

---

## 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.


---

## Body


---

*Source: 804836-2011-09-20.xml*