{"paper":{"title":"Asymptotic properties of permanental sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jay Rosen, Michael B. Marcus","submitted_at":"2019-08-12T14:00:02Z","abstract_excerpt":"Let $U=\\{U_{j,k},j,k\\in \\overline {\\mathbb N}\\}$ be the potential of a transient symmetric Borel right process $X$ with state space $\\overline {\\mathbb N}$. For any excessive function $f=\\{f_{k,k\\in \\overline {\\mathbb N}}\\}$ for $X$ , $\\widetilde U=\\{\\widetilde U_{j,k},j,k\\in\\overline {\\mathbb N}\\}$, where \\begin{equation}\n  \\widetilde U_{j,k}= U_{j,k} +f_{ k},\\qquad j,k\\in\\overline {\\mathbb N},\\label{a.1}\n  \\end{equation} is the kernel of an $\\alpha$-permanental sequence $\\widetilde X_{\\alpha}=(\\widetilde X_{\\alpha, 1} ,\\ldots)$ for all $\\alpha>0$. The symmetric potential $U$ is also the cova"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04155","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.04155/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}