{"paper":{"title":"Lifshits tails for randomly twisted quantum waveguides","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"math.SP","authors_text":"David Krejcirik, Georgi Raikov, Werner Kirsch","submitted_at":"2017-05-12T23:57:15Z","abstract_excerpt":"We consider the Dirichlet Laplacian $H_\\gamma$ on a 3D twisted waveguide with random Anderson-type twisting $\\gamma$. We introduce the integrated density of states $N_\\gamma$ for the operator $H_\\gamma$, and investigate the Lifshits tails of $N_\\gamma$, i.e. the asymptotic behavior of $N_\\gamma(E)$ as $E \\downarrow \\inf {\\rm supp}\\, dN_\\gamma$. In particular, we study the dependence of the Lifshits exponent on the decay rate of the single-site twisting at infinity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04772","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"}