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Journal Articles Journal of Mathematical Physics Year : 2010

On a conjecture about Dirac's delta representation using q-Gaussians

Abstract

Tsallis and Jauregui have recently conjectured a representation of the celebrated Dirac delta distribution, which they call $\delta_q(x)$, based on $q-$exponential functions. However, they could not prove their conjecture and used numerical experiments that suggest its validity. In this note, we provide a rigourous mathematical approach to this problem and prove their conjecture by recourse to the notion of superstatistics.
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Dates and versions

hal-00828456 , version 1 (31-05-2013)

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  • HAL Id : hal-00828456 , version 1

Cite

Antoine Chevreuil, Angelo Plastino, Christophe Vignat. On a conjecture about Dirac's delta representation using q-Gaussians. Journal of Mathematical Physics, 2010, 51 (9), pp.093502. ⟨hal-00828456⟩
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