| LDR | | 02305nam u200433 4500 |
| 001 | | 000000419436 |
| 005 | | 20190215163656 |
| 008 | | 181129s2018 |||||||||||||||||c||eng d |
| 020 | |
▼a 9780438342491 |
| 035 | |
▼a (MiAaPQ)AAI10839819 |
| 035 | |
▼a (MiAaPQ)cornellgrad:10931 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 247004 |
| 082 | 0 |
▼a 510 |
| 100 | 1 |
▼a Rafiqi, Ahmad. |
| 245 | 10 |
▼a On Dilatations of Surface Automorphisms. |
| 260 | |
▼a [S.l.]:
▼b Cornell University.,
▼c 2018. |
| 260 | 1 |
▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2018. |
| 300 | |
▼a 59 p. |
| 500 | |
▼a Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B. |
| 500 | |
▼a Adviser: John H. Hubbard. |
| 502 | 1 |
▼a Thesis (Ph.D.)--Cornell University, 2018. |
| 520 | |
▼a Suppose S is a compact topological surface without boundary, oriented and connected. In &conint |
| 520 | |
▼a 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 |
| 520 | |
▼a In &conint |
| 520 | |
▼a 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 |
| 520 | |
▼a 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 |
| 520 | |
▼a 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) |
| 590 | |
▼a School code: 0058. |
| 650 | 4 |
▼a Mathematics. |
| 690 | |
▼a 0405 |
| 710 | 20 |
▼a Cornell University.
▼b Mathematics. |
| 773 | 0 |
▼t Dissertation Abstracts International
▼g 80-01B(E). |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0058 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2018 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T14999695
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
| 980 | |
▼a 201812
▼f 2019 |
| 990 | |
▼a ***1012033 |