English

Necessary and sufficient condition for stability of generalized expectation value

Statistical Mechanics 2011-09-21 v1

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.

Cite

@article{arxiv.1109.4275,
  title  = {Necessary and sufficient condition for stability of generalized expectation value},
  author = {Aziz El Kaabouchi and Sumiyoshi Abe},
  journal= {arXiv preprint arXiv:1109.4275},
  year   = {2011}
}

Comments

13 pages, no figures

R2 v1 2026-06-21T19:07:41.784Z