{"paper":{"title":"Generalized entropies and the transformation group of superstatistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Murray Gell-Mann, Rudolf Hanel, Stefan Thurner","submitted_at":"2011-03-02T23:29:22Z","abstract_excerpt":"Superstatistics describes statistical systems that behave like superpositions of different inverse temperatures $\\beta$, so that the probability distribution is $p(\\epsilon_i) \\propto \\int_{0}^{\\infty} f(\\beta) e^{-\\beta \\epsilon_i}d\\beta$, where the `kernel' $f(\\beta)$ is nonnegative and normalized ($\\int f(\\beta)d \\beta =1$). We discuss the relation between this distribution and the generalized entropic form $S=\\sum_i s(p_i)$. The first three Shannon-Khinchin axioms are assumed to hold. It then turns out that for a given distribution there are two different ways to construct the entropy. One"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0580","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"}