{"paper":{"title":"Equi-topological entropy curves for skew tent maps in the square","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.DS","authors_text":"Gabriella Keszthelyi, Zoltan Buczolich","submitted_at":"2015-12-16T12:32:51Z","abstract_excerpt":"We consider skew tent maps $T_{{\\alpha}, {\\beta}}(x)$ such that $({\\alpha}, {\\beta})\\in[0,1]^{2}$ is the turning point of $T {_ {{\\alpha}, {\\beta}}}$, that is, $T_{{\\alpha}, {\\beta}}=\\frac{{\\beta}}{{\\alpha}}x$ for $0\\leq x \\leq {\\alpha}$ and $T_{{\\alpha}, {\\beta}}(x)=\\frac{{\\beta}}{1-{\\alpha}}(1-x)$ for $ {\\alpha}<x\\leq 1$. We denote by $ {\\underline{M}}=K({\\alpha}, {\\beta})$ the kneading sequence of $T_ {{\\alpha}, {\\beta}}$ and by $h({\\alpha}, {\\beta})$ its topological entropy. For a given kneading squence $ {\\underline{M}}$ we consider equi-kneading, (or equi-topological entropy, or isentrop"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05146","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"}