{"paper":{"title":"Finitely Correlated States Driven by Topological Dynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Eric B. Roon, Jeffrey H. Schenker","submitted_at":"2025-07-09T21:13:57Z","abstract_excerpt":"Let $(\\Omega, \\P)$ be a standard probability space and let $\\vartheta:\\Omega \\to \\Omega$ be a measure preserving ergodic homeomorphism. Let $\\mathcal{A}$ be a $C^*$-algebra with a unit and let $\\mathcal{A}_{\\mathbb{Z}}$ be the quasi-local algebra associated to the spin chain with one-site algebra $\\mathcal{A}$. Equip $\\mathcal{A}_{\\mathbb{Z}}$ with the group action of translation by $k$-units, $\\tau_k\\in Aut(\\mathcal{A}_{\\mathbb{Z}})$ for $k\\in \\mathbb{Z}$. We study the problem of finding a disordered matrix product state decomposition for disordered states $\\psi(\\omega)$ on $\\mathcal{A}_{\\mat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.07287","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.07287/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"}