Necessary and Sufficient Condition for Stability of Generalized Expectation Value

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
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spelling doaj-653a66a6c926418c8b8eb8570b2b278d2020-11-24T23:55:52ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/804836804836Necessary and Sufficient Condition for Stability of Generalized Expectation ValueAziz El Kaabouchi0Sumiyoshi Abe1Institut Supérieur des Matériaux et Mécaniques Avancés, 44 F. A. Bartholdi, 72000 Le Mans, FranceInstitut Supérieur des Matériaux et Mécaniques Avancés, 44 F. A. Bartholdi, 72000 Le Mans, FranceA 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.http://dx.doi.org/10.1155/2011/804836
collection DOAJ
language English
format Article
sources DOAJ
author Aziz El Kaabouchi
Sumiyoshi Abe
spellingShingle Aziz El Kaabouchi
Sumiyoshi Abe
Necessary and Sufficient Condition for Stability of Generalized Expectation Value
Journal of Applied Mathematics
author_facet Aziz El Kaabouchi
Sumiyoshi Abe
author_sort Aziz El Kaabouchi
title Necessary and Sufficient Condition for Stability of Generalized Expectation Value
title_short Necessary and Sufficient Condition for Stability of Generalized Expectation Value
title_full Necessary and Sufficient Condition for Stability of Generalized Expectation Value
title_fullStr Necessary and Sufficient Condition for Stability of Generalized Expectation Value
title_full_unstemmed Necessary and Sufficient Condition for Stability of Generalized Expectation Value
title_sort necessary and sufficient condition for stability of generalized expectation value
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2011-01-01
description 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.
url http://dx.doi.org/10.1155/2011/804836
work_keys_str_mv AT azizelkaabouchi necessaryandsufficientconditionforstabilityofgeneralizedexpectationvalue
AT sumiyoshiabe necessaryandsufficientconditionforstabilityofgeneralizedexpectationvalue
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