Open AccessNecessary and Sufficient Condition for Stability of Generalized Expectation Value
Author(s) -
Aziz El Kaabouchi,
Sumiyoshi Abe
Publication year - 2011
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2011/804836
Subject(s) - class (philosophy) , mathematics , stability (learning theory) , value (mathematics) , statistical physics , statistical mechanics , probability distribution , computer science , statistics , physics , machine learning , artificial intelligence
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
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