DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Ko, Ki-Hyoung | - |
dc.contributor.advisor | 고기형 | - |
dc.contributor.author | Song, Won-Taek | - |
dc.contributor.author | 송원택 | - |
dc.date.accessioned | 2011-12-14T04:39:29Z | - |
dc.date.available | 2011-12-14T04:39:29Z | - |
dc.date.issued | 2002 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=177221&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/41852 | - |
dc.description | 학위논문(박사) - 한국과학기술원 : 수학전공, 2002.8, [ [ii], 68 p. ] | - |
dc.description.abstract | In 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.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | entropy | - |
dc.subject | braid | - |
dc.subject | topological dynamics | - |
dc.subject | 위상동역학 | - |
dc.subject | 엔트로피 | - |
dc.subject | 땋임 | - |
dc.title | Dynamics of braids | - |
dc.title.alternative | 땋임 동역학 | - |
dc.type | Thesis(Ph.D) | - |
dc.identifier.CNRN | 177221/325007 | - |
dc.description.department | 한국과학기술원 : 수학전공, | - |
dc.identifier.uid | 000985185 | - |
dc.contributor.localauthor | Ko, Ki-Hyoung | - |
dc.contributor.localauthor | 고기형 | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.