{"paper":{"title":"\\'Etude d'une \\'equation int\\'egrale avec des m\\'ethodes combinatoires","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["cs.DM","math.CA"],"primary_cat":"math.DS","authors_text":"Jean-Fran\\c{c}ois Bertazzon, Vincent Delecroix","submitted_at":"2014-03-10T13:36:42Z","abstract_excerpt":"We build bounded solutions to a linear integral equation. Our functions are built as limit of iterated Birkhoff sums over auto-similar dynamical systems.\n  Nous construisons des solutions born\\'ees \\`a une \\'equation int\\'egrale. Notre m\\'ethode repose sur une limite de sommes de Birkhoff it\\'er\\'ees au-dessus de certains syst\\`emes dynamiques auto-similaires."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2235","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"}