https://doi.org/10.1140/epjp/s13360-023-03859-9
Regular Article
Assessing black swan events with the stochastic least action principle, Tsallis entropy and heavy-tailed distribution
1
Department of Physics, Federal University of Lavras, Lavras, MG, Brazil
2
Laboratoire SCIQ, EISEA Numérique et Société, ESIEA Group, Paris, France
3
Laboratoire IMMM, CNRS, Le Mans University, Le Mans, France
4
Nanjing University, Nanjing, China
Received:
9
January
2023
Accepted:
3
March
2023
Published online:
27
March
2023
We present a formulation of the Stochastic Least Action Principle which encompasses random movements describing black swan events of non-dissipative systems in terms of heavy-tailed distributions. Black swan events are rare and drastic episodes such as earthquakes and financial crisis. We showed that black swan events of physical systems are proportional to nonlocal correlations, thus making the Tsallis entropy more appropriate for its description rather than the conventional Shannon-Boltzman-Gibbs entropy. As a consequence, we assessed the validity of the path probability distribution obtained using the non-additive Tsallis entropy.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
