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On Dilatations of Surface Automorphisms

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자료유형	E-Book
개인저자	Rafiqi, Ahmad.
단체저자명	Cornell University. Mathematics.
서명/저자사항	On Dilatations of Surface Automorphisms.
발행사항	[S.l.] : Cornell University., 2018
발행사항	Ann Arbor : ProQuest Dissertations & Theses, 2018
형태사항	59 p.
소장본 주기	School code: 0058.
ISBN	9780438342491
일반주기	Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B. Adviser: John H. Hubbard.
요약	Suppose S is a compact topological surface without boundary, oriented and connected. In &conint
요약	When the foliations of a pA map f can be oriented consistently in neighborhoods on S, the dilatation lambda f is an eigenvalue of the induced action f * on the homology group H1( S
요약	In &conint
요약	A square matrix A of non-negative entries is called mixing if some power An has only positive entries. If only the sum A+A 2+... is positive, A is ergodic. By the Perron-Frobenius theorem, an ergodic matrix has a real eigenvalue lambda > 0 (cal
요약	On the other hand, Hamenstadt showed that out of dilatations smaller than R > 0 on a surface of fixed genus g, the proportion of those that have only real Galois conjugates approaches 1 as R &rarr
요약	Eskin-Mirzakhani-Rafi (2016) and Hamenstadt (2016) independently showed that the number of periodic orbits of length less than log( R) for the Teichmuller flow on the moduli space of area one Abelian differentials on Sg grows like R4g--3/log(R)
일반주제명	Mathematics.
언어	영어
기본자료 저록	Dissertation Abstracts International80-01B(E). Dissertation Abstract International
대출바로가기	http://www.riss.kr/pdu/ddodLink.do?id=T14999695