{"paper":{"title":"Occurrences of palindromes in characteristic Sturmian words","license":"","headline":"","cross_cats":["cs.DM"],"primary_cat":"math.CO","authors_text":"Amy Glen","submitted_at":"2007-08-31T16:49:21Z","abstract_excerpt":"This paper is concerned with palindromes occurring in characteristic Sturmian words $c_\\alpha$ of slope $\\alpha$, where $\\alpha \\in (0,1)$ is an irrational. As $c_\\alpha$ is a uniformly recurrent infinite word, any (palindromic) factor of $c_\\alpha$ occurs infinitely many times in $c_\\alpha$ with bounded gaps. Our aim is to completely describe where palindromes occur in $c_\\alpha$. In particular, given any palindromic factor $u$ of $c_\\alpha$, we shall establish a decomposition of $c_\\alpha$ with respect to the occurrences of $u$. Such a decomposition shows precisely where $u$ occurs in $c_\\al"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.4389","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/0708.4389/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"}