{"paper":{"title":"A lower bound on the Lyapunov exponent for the generalized Harper's model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Svetlana Jitomirskaya, Wencai Liu","submitted_at":"2016-11-30T07:15:29Z","abstract_excerpt":"We obtain a lower bound for the Lyapunov exponent of a family of discrete Schr\\\"{o}dinger operators $(Hu)_n=u_{n+1}+u_{n-1}+2a_1\\cos2\\pi(\\theta+n\\alpha)u_n+2a_2\\cos4\\pi(\\theta+n\\alpha)u_n$, that incorporates both $a_1$ and $a_2,$ thus going beyond the Herman's bound."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.10028","kind":"arxiv","version":1},"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"}