Dynamics of braids땋임 동역학

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dc.contributor.advisorKo, Ki-Hyoung-
dc.contributor.advisor고기형-
dc.contributor.authorSong, Won-Taek-
dc.contributor.author송원택-
dc.date.accessioned2011-12-14T04:39:29Z-
dc.date.available2011-12-14T04:39:29Z-
dc.date.issued2002-
dc.identifier.urihttp://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=177221&flag=dissertation-
dc.identifier.urihttp://hdl.handle.net/10203/41852-
dc.description학위논문(박사) - 한국과학기술원 : 수학전공, 2002.8, [ [ii], 68 p. ]-
dc.description.abstractIn this thesis we study the dynamics of braids using the folding decomposition of train track maps and the entropy. In Chapter 1 we explain the preliminaries about braids, the Nielsen-Thurston classification of surface homeomorphisms, and the train track algorithm. In Chapter 2 we show that the entropy of a braid can be computed from the spectral radius of the Burau matrix of another braid after reviewing the topological entropy of braid and the Burau representation. In Chapter 3 we introduce the folding decomposition of train track maps and show that for each braid index there are finitely many folding automata which generate all the conjugacy classes of pseudo-Anosov braids. In Chapter 4 we use the folding automata to find the braid with the minimal non-trivial entropy for braid index less than 6. In Chapter 5 we estimate the minimal entropy of braids with general braid index and show that the entropy of a pseudo-Anosov pure braid is greater than or equal to $\log 3$.eng
dc.languageeng-
dc.publisher한국과학기술원-
dc.subjectentropy-
dc.subjectbraid-
dc.subjecttopological dynamics-
dc.subject위상동역학-
dc.subject엔트로피-
dc.subject땋임-
dc.titleDynamics of braids-
dc.title.alternative땋임 동역학-
dc.typeThesis(Ph.D)-
dc.identifier.CNRN177221/325007-
dc.description.department한국과학기술원 : 수학전공, -
dc.identifier.uid000985185-
dc.contributor.localauthorKo, Ki-Hyoung-
dc.contributor.localauthor고기형-
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MA-Theses_Ph.D.(박사논문)
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