{"paper":{"title":"On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.CV","authors_text":"A. I. Aptekarev, A. M\\'artinez-Finkelshtein, G. L\\'opez Lagomasino","submitted_at":"2014-03-15T00:16:34Z","abstract_excerpt":"We consider multiple orthogonal polynomials with respect to Nikishin systems generated by two measures $(\\sigma_1, \\sigma_2)$ with unbounded supports ($\\mbox{supp} \\, \\sigma_1 \\subseteq \\mathbb{R}_+$, $\\mbox{supp} \\, \\sigma_2 \\subseteq \\,\\mathbb{R}_-$) and $\\sigma_2$ is discrete. A Nikishin type equilibrium problem in the presence of an external field acting on $\\mathbb{R}_+$ and a constraint on $ \\mathbb{R}_-$ is stated and solved. The solution is used for deriving the contracted zero distribution of the associated multiple orthogonal polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3729","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"}