{"paper":{"title":"Isentropes and Lyapunov exponents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.DS","authors_text":"Gabriella Keszthelyi, Zolt\\'an Buczolich","submitted_at":"2018-04-05T13:21:27Z","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$.\n  We denote by $ {\\underline {M}}=K( {\\alpha}, {\\beta})$ the kneading sequence of\n  $T {_ { {\\alpha}, {\\beta}}}$, by $h( {\\alpha}, {\\beta})$ its topological entropy and\n  $\\Lambda=\\Lambda_{\\alpha,\\beta}$ denotes its Lyapunov exponent.\n  For a given kneading squence $ {\\u"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01837","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"}