{"paper":{"title":"Invariance of distributional chaos for backward shifts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Xinxing Wu, Yang Luo","submitted_at":"2019-04-22T12:37:46Z","abstract_excerpt":"A sufficient and necessary condition ensuring that the backward shift operator on the K\\\"{o}the sequence space admits an invariant distributionally $\\varepsilon$-scrambled set for some $\\varepsilon>0$ is obtained, improving the main results in [F. Mart\\'{\\i}nez-Gim\\'{e}nez, P. Oprocha, A. Peris, J. Math. Anal. Appl., {\\bf 351} (2009), 607--615]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.09826","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":""},"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"}