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Mean Action of Periodic Orbits of Area-Preserving Annulus Diffeomorphisms
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Mean Action of Periodic Orbits of Area-Preserving Annulus Diffeomorphisms. |
| 개인저자 | Weiler, Morgan C. |
| 단체저자명 | University of California, Berkeley. Mathematics. |
| 발행사항 | [S.l.]: University of California, Berkeley., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 77 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-03B. Dissertation Abstract International |
| ISBN | 9781085783194 |
| 학위논문주기 | Thesis (Ph.D.)--University of California, Berkeley, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-03, Section: B.
Advisor: Hutchings, Michael. |
| 이용제한사항 | This item must not be sold to any third party vendors. |
| 요약 | An area-preserving diffeomorphism of an annulus has an "action function" which measures how the diffeomorphism distorts curves. The average value of the action function over the annulus is known as the Calabi invariant of the diffeomorphism, while the average value of the action function over a periodic orbit of the diffeomorphism is the mean action of the orbit. If an area-preserving annulus diffeomorphism is a rotation near the boundary, and if its Calabi invariant is less than the maximum boundary value of the action function, then we show that the infimum of the mean action over all periodic orbits of the diffeomorphism is less than or equal to its Calabi invariant. |
| 일반주제명 | Mathematics. Theoretical mathematics. |
| 언어 | 영어 |
| 바로가기 | 
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