{"paper":{"title":"The Dolgopyat inequality in \\BV\\ for non-Markov maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Dalia Terhesiu, Henk Bruin","submitted_at":"2016-04-24T11:31:49Z","abstract_excerpt":"Let $F$ be a (non-Markov) countably piecewise expanding interval map satisfying certain regularity conditions, and $\\tilde\\L$ the corresponding transfer operator. We prove the Dolgopyat inequality for the twisted operator $\\tilde\\L_s(v) = \\tilde\\L_s(e^{s\\varphi}v)$ acting on the space BV of functions of bounded variation, where $\\varphi$ is a piecewise $C^1$ roof function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07013","kind":"arxiv","version":3},"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"}