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020 ▼a 9781085640367
035 ▼a (MiAaPQ)AAI13882540
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 510
1001 ▼a Guo, Heng.
24510 ▼a Strong Interpolation between Brownian Motion and the Geodesic Flow.
260 ▼a [S.l.]: ▼b Northwestern University., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 84 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
500 ▼a Advisor: Hsu, Elton.
5021 ▼a Thesis (Ph.D.)--Northwestern University, 2019.
506 ▼a This item must not be sold to any third party vendors.
520 ▼a 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.
590 ▼a School code: 0163.
650 4 ▼a Mathematics.
690 ▼a 0405
71020 ▼a Northwestern University. ▼b Mathematics.
7730 ▼t Dissertations Abstracts International ▼g 81-04B.
773 ▼t Dissertation Abstract International
790 ▼a 0163
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15491240 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1816162
991 ▼a E-BOOK