{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T22:08:17Z","timestamp":1773353297526,"version":"3.50.1"},"reference-count":120,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2023,2,23]],"date-time":"2023-02-23T00:00:00Z","timestamp":1677110400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"internal resources of the Department of Basic Sciences of the Universidad Aut\u00f3noma Metropolitana\u2013Azcapotzalco"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Non-extensive statistical mechanics (or q-statistics) is based on the so-called non-additive Tsallis entropy. Since its introduction by Tsallis, in 1988, as a generalization of the Boltzmann\u2013Gibbs equilibrium statistical mechanics, it has steadily gained ground as a suitable theory for the description of the statistical properties of non-equilibrium complex systems. Therefore, it has been applied to numerous phenomena, including real seismicity. In particular, Tsallis entropy is expected to provide a guiding principle to reveal novel aspects of complex dynamical systems with catastrophes, such as seismic events. The exploration of the existing connections between Tsallis formalism and real seismicity has been the focus of extensive research activity in the last two decades. In particular, Tsallis q-statistics has provided a unified framework for the description of the collective properties of earthquakes and faults. Despite this progress, our present knowledge of the physical processes leading to the initiation of a rupture, and its subsequent growth through a fault system, remains quite limited. The aim of this paper was to provide an overview of the non-extensive interpretation of seismicity, along with the contributions of the Tsallis formalism to the statistical description of seismic events.<\/jats:p>","DOI":"10.3390\/e25030408","type":"journal-article","created":{"date-parts":[[2023,2,24]],"date-time":"2023-02-24T02:32:12Z","timestamp":1677205932000},"page":"408","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":23,"title":["Tsallis q-Statistics in Seismology"],"prefix":"10.3390","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8043-0825","authenticated-orcid":false,"given":"Leonardo Di G.","family":"Sigalotti","sequence":"first","affiliation":[{"name":"Departamento de Ciencias B\u00e1sicas, Universidad Aut\u00f3noma Metropolitana-Azcapotzalco (UAM-A), Av. San Pablo 420, Colonia Nueva el Rosario, Alcald\u00eda Azcapotazlco, Mexico City 02128, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4408-861X","authenticated-orcid":false,"given":"Alejandro","family":"Ram\u00edrez-Rojas","sequence":"additional","affiliation":[{"name":"Departamento de Ciencias B\u00e1sicas, Universidad Aut\u00f3noma Metropolitana-Azcapotzalco (UAM-A), Av. San Pablo 420, Colonia Nueva el Rosario, Alcald\u00eda Azcapotazlco, Mexico City 02128, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1406-1467","authenticated-orcid":false,"given":"Carlos A.","family":"Vargas","sequence":"additional","affiliation":[{"name":"Departamento de Ciencias B\u00e1sicas, Universidad Aut\u00f3noma Metropolitana-Azcapotzalco (UAM-A), Av. San Pablo 420, Colonia Nueva el Rosario, Alcald\u00eda Azcapotazlco, Mexico City 02128, Mexico"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1016\/S0012-821X(03)00286-3","article-title":"Spatial variability of the time-correlated behaviour in Italian seismicity","volume":"212","author":"Telesca","year":"2003","journal-title":"Earth Planet. Sci. Lett."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"L23308","DOI":"10.1029\/2008GL036270","article-title":"Seismicity changes prior to the Ms8.0 Wenchuan earthquake in Sichuan, China","volume":"35","author":"Huang","year":"2008","journal-title":"Geophys. Res. 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