Necessary and sufficient condition for stability of generalized expectation value

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.

13 pages, no figures

References in corpus (2)

• Generalized molecular chaos hypothesis and H-theorem: Problem of constraints and amendment of nonextensive statistical mechanics
• Stability criteria for q-expectation values