{"paper":{"title":"Composition law of $\\kappa$-entropy for statistically independent systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A.M. Scarfone, A. Sparavigna, G. Kaniadakis, T. Wada","submitted_at":"2017-05-10T17:50:27Z","abstract_excerpt":"The intriguing and still open question concerning the composition law of $\\kappa$-entropy $S_{\\kappa}(f)=\\frac{1}{2\\kappa}\\sum_i (f_i^{1-\\kappa}-f_i^{1+\\kappa})$ with $0<\\kappa<1$ and $\\sum_i f_i =1$ is here reconsidered and solved. It is shown that, for a statistical system described by the probability distribution $f=\\{ f_{ij}\\}$, made up of two statistically independent subsystems, described through the probability distributions $p=\\{ p_i\\}$ and $q=\\{ q_j\\}$, respectively, with $f_{ij}=p_iq_j$, the joint entropy $S_{\\kappa}(p\\,q)$ can be obtained starting from the $S_{\\kappa}(p)$ and $S_{\\k"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03873","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}