{"paper":{"title":"Stability of the entropy equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Eszter Gselmann","submitted_at":"2016-11-30T11:39:34Z","abstract_excerpt":"In this paper we prove that the so--called entropy equation, i.e., \\[ H\\left(x, y, z\\right)=H\\left(x+y, 0, z\\right)+H\\left(x, y, 0\\right) \\] is stable in the sense of Hyers and Ulam on the positive cone of $\\mathbb{R}^{3}$, assuming that the function $H$ is approximatively symmetric in each variable and approximatively homogeneous of degree $\\alpha$, where $\\alpha$ is an arbitrarily fixed real number."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.10099","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"}