{"paper":{"title":"Cubic Critical Portraits and Polynomials with Wandering Gaps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"A. Blokh, C. Curry, L. Oversteegen","submitted_at":"2010-03-23T17:06:27Z","abstract_excerpt":"Thurston introduced $\\si_d$-invariant laminations (where $\\si_d(z)$ coincides with $z^d:\\ucirc\\to \\ucirc$, $d\\ge 2$) and defined \\emph{wandering $k$-gons} as sets $\\T\\subset \\ucirc$ such that $\\si_d^n(\\T)$ consists of $k\\ge 3$ distinct points for all $n\\ge 0$ and the convex hulls of all the sets $\\si_d^n(\\T)$ in the plane are pairwise disjoint. He proved that $\\si_2$ has no wandering $k$-gons. Call a lamination with wandering $k$-gons a \\emph{WT-lamination}. In a recent paper it was shown that uncountably many cubic WT-laminations, with pairwise non-conjugate induced maps on the corresponding "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.4467","kind":"arxiv","version":3},"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"}