자료유형 | 학위논문 |
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서명/저자사항 | Boundary Maps and Their Natural Extensions Associated with Fuchsian and Kleinian Groups. |
개인저자 | Zydney, Adam J. |
단체저자명 | The Pennsylvania State University. Mathematics. |
발행사항 | [S.l.]: The Pennsylvania State University., 2018. |
발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2018. |
형태사항 | 78 p. |
기본자료 저록 | Dissertation Abstracts International 79-12B(E). Dissertation Abstract International |
ISBN | 9780438136267 |
학위논문주기 | Thesis (Ph.D.)--The Pennsylvania State University, 2018. |
일반주기 |
Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B.
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요약 | Geodesic flows on surfaces of constant negative curvature are a rich source of examples in ergodic theory, and geodesic flow on the modular surface in particular has deep connections to real continued fractions from number theory. This thesis de |
요약 | The Fuchsian results (Chapter III) are joint with Svetlana Katok and build on results of Katok and Ugarcovici, who studied a family of maps generalizing the Bowen-Series boundary map. When the parameters satisfy the short cycle property, i.e., t |
요약 | In Chapter IV, we consider three-dimensional real hyperbolic space, in which the boundary is the Reimann sphere C &cup |
일반주제명 | Mathematics. |
언어 | 영어 |
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