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Boundary Maps and Their Natural Extensions Associated with Fuchsian and Kleinian Groups

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서명/저자사항Boundary Maps and Their Natural Extensions Associated with Fuchsian and Kleinian Groups.
개인저자Zydney, Adam J.
단체저자명The Pennsylvania State University. Mathematics.
발행사항[S.l.]: The Pennsylvania State University., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항78 p.
기본자료 저록Dissertation Abstracts International 79-12B(E).
Dissertation Abstract International
ISBN9780438136267
학위논문주기Thesis (Ph.D.)--The Pennsylvania State University, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B.
요약Geodesic 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
요약The 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
요약In Chapter IV, we consider three-dimensional real hyperbolic space, in which the boundary is the Reimann sphere C &cup
일반주제명Mathematics.
언어영어
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