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Strong Interpolation between Brownian Motion and the Geodesic Flow

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자료유형학위논문
서명/저자사항Strong Interpolation between Brownian Motion and the Geodesic Flow.
개인저자Guo, Heng.
단체저자명Northwestern University. Mathematics.
발행사항[S.l.]: Northwestern University., 2019.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2019.
형태사항84 p.
기본자료 저록Dissertations Abstracts International 81-04B.
Dissertation Abstract International
ISBN9781085640367
학위논문주기Thesis (Ph.D.)--Northwestern University, 2019.
일반주기 Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Hsu, Elton.
이용제한사항This item must not be sold to any third party vendors.
요약This 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.
일반주제명Mathematics.
언어영어
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