{"paper":{"title":"H\\\"older continuity of the integrated density of states for Extended Harper's Model with Liouville frequency","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Wenwen Jian, Yunfeng Shi","submitted_at":"2017-08-08T22:45:24Z","abstract_excerpt":"In this paper, we study the non-self-dual extended Harper's model with a Liouville frequency. Based on the work of \\cite{SY}, we show that the integrated density of states (IDS for short) of the model is $\\frac{1}{2}$-H$\\ddot{\\text{o}}$lder continuous. As an application, we also obtain the Carleson homogeneity of the spectrum."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02670","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"}