Is a typical bi-Perron algebraic unit a pseudo-Anosov dilatation?

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dc.contributor.authorBaik, Hyungryulko
dc.contributor.authorRafiqi, Ahmadko
dc.contributor.authorWu, Chenxiko
dc.date.accessioned2019-06-24T02:50:05Z-
dc.date.available2019-06-24T02:50:05Z-
dc.date.created2019-06-24-
dc.date.created2019-06-24-
dc.date.issued2019-07-
dc.identifier.citationERGODIC THEORY AND DYNAMICAL SYSTEMS, v.39, pp.1745 - 1750-
dc.identifier.issn0143-3857-
dc.identifier.urihttp://hdl.handle.net/10203/262801-
dc.description.abstractIn this note, we deduce a partial answer to the question in the title. In particular, we show that asymptotically almost all bi-Perron algebraic units whose characteristic polynomial has degree at most 2n do not correspond to dilatations of pseudo-Anosov maps on a closed orientable surface of genus n for n >= 10. As an application of the argument, we also obtain a statement on the number of closed geodesics of the same length in the moduli space of area-one abelian differentials for low-genus cases.-
dc.languageEnglish-
dc.publisherCAMBRIDGE UNIV PRESS-
dc.titleIs a typical bi-Perron algebraic unit a pseudo-Anosov dilatation?-
dc.typeArticle-
dc.identifier.wosid000470721500002-
dc.identifier.scopusid2-s2.0-85038030043-
dc.type.rimsART-
dc.citation.volume39-
dc.citation.beginningpage1745-
dc.citation.endingpage1750-
dc.citation.publicationnameERGODIC THEORY AND DYNAMICAL SYSTEMS-
dc.identifier.doi10.1017/etds.2017.109-
dc.contributor.localauthorBaik, Hyungryul-
dc.contributor.nonIdAuthorRafiqi, Ahmad-
dc.contributor.nonIdAuthorWu, Chenxi-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordPlusMAPPING CLASSES-
dc.subject.keywordPlusCONSTRUCTION-
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