{"paper":{"title":"A note on the dynamics of linear automorphisms of a measure convolution algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Alexandre Baraviera, Elismar R. Oliveira, Fagner B. Rodrigues","submitted_at":"2013-04-26T14:33:11Z","abstract_excerpt":"In this work we are going to study the dynamics of the linear automorphisms of a measure convolution algebra over a finite group, $T(\\mu)=\\nu * \\mu$. In order to understand an classify the asymptotic behavior of this dynamical system we provide an alternative to classical results, a very direct way to understand convergence of the sequence $\\{\\nu^{n}\\}_{n\\in\\mathbb{N}}$, where $G$ is a finite group, $\\nu\\in\\mathcal{P}(G)$ and $\\nu^n=\\underbrace{\\nu\\ast...\\ast\\nu}_n$, trough the subgroup generated by his support."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7182","kind":"arxiv","version":2},"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"}