자료유형 | 학위논문 |
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서명/저자사항 | Strong Interpolation between Brownian Motion and the Geodesic Flow. |
개인저자 | Guo, Heng. |
단체저자명 | Northwestern University. Mathematics. |
발행사항 | [S.l.]: Northwestern University., 2019. |
발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
형태사항 | 84 p. |
기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
ISBN | 9781085640367 |
학위논문주기 | Thesis (Ph.D.)--Northwestern University, 2019. |
일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Hsu, Elton. |
이용제한사항 | This item must not be sold to any third party vendors. |
요약 | This dissertation concerns the probabilistic aspects of diffusion processes generated by a family of differential operators, which is similar to the family of hypoelliptic Laplacian operators, acting on the tangent bundle of a compact Riemannian manifold. By lifting the processes to the product of the frame bundle and the euclidean space, we show that this family of stochastic processes interpolates between Riemannian Brownian motion and the geodesic flow. |
일반주제명 | Mathematics. |
언어 | 영어 |
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: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |