2022
DOI: 10.48550/arxiv.2203.01743
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New power-law tailed distributions emerging in $κ$-statistics

G. Kaniadakis

Abstract: Over the last two decades, it has been argued that the Lorentz transformation mechanism, which imposes the generalization of Newton's classical mechanics into Einstein's special relativity, implies a generalization, or deformation, of the ordinary statistical mechanics. The exponential function, which defines the Boltzmann's factor, emerges properly deformed within this formalism. Starting from this, so-called κ-deformed exponential function, we introduce new classes of statistical distributions emerging as th… Show more

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