{"paper":{"title":"Topological entropy of a Lie group automorphism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Adriano Da Silva, Heriberto Rom\\'an-Flores, Victor Ayala","submitted_at":"2016-04-28T00:20:19Z","abstract_excerpt":"Let {\\phi} be an automorphism on a connected Lie group G. Through several G-subgroups associated to the dynamics of {\\phi} we analyze their topological entropy. Assume that G belongs to the class of finite semisimple center Lie groups which admits a {\\phi} invariant Levi subgroup. Then we prove that the topological entropy information of {\\phi} is contained in the toral component of the unstable subgroup of {\\phi} in the radical of G. We specialize the main result in a couple of interesting situations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.08272","kind":"arxiv","version":5},"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"}