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arxiv: 0806.3934 · v1 · submitted 2008-06-24 · ❄️ cond-mat.stat-mech

Instability of q-expectation value

classification ❄️ cond-mat.stat-mech
keywords valueq-expectationstablealwaysdeformationsdistributionexpectationfunction
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q-Expectation value of a physical quantity is widely used in nonextensive statistical mechanics. Here, it is shown that the q-expectation value is not stable under small deformations of a probability distribution function, in general, whereas the ordinary expectation value is always stable.

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