{"paper":{"title":"On the one-way specification property and large deviations for non-transitive systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Kenichiro Yamamoto","submitted_at":"2016-11-12T09:50:30Z","abstract_excerpt":"We introduce a weaker form of the specification property, called \"one-way specification property\", and give several examples of non-transitive systems satisfying this property. As an application, we show that the $(-\\beta)$-transformation satisfies a level-2 large deviation principle with the Lebesgue measure and the rate function is the free energy under the condition that $\\beta>1$ is a Yrrap number, that is, the orbit of $1$ under the $(-\\beta)$-transformation is eventually periodic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03978","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"}