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On Multiple-Paths Schramm-Loewner Evolution

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자료유형	E-Book
개인저자	Jahangoshahi, Mohammad.
단체저자명	The University of Chicago. Statistics.
서명/저자사항	On Multiple-Paths Schramm-Loewner Evolution.
발행사항	[S.l.] : The University of Chicago., 2018
발행사항	Ann Arbor : ProQuest Dissertations & Theses, 2018
형태사항	128 p.
소장본 주기	School code: 0330.
ISBN	9780438370203
일반주기	Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B. Adviser: Gregory F. Lawler.
요약	In this thesis, we study the properties of multiple-paths Schramm-Loewner Evolution (SLEkappa). One of the main objectives is to study this process in multiply-connected domains, which requires discussing single path SLEkappa in such domains fir
요약	While for some applications it is appropriate to consider SLE kappa as a probability measure, there are several cases where it is more natural to consider it as a non-probability measure. In this work, we take the second approach to study multip
요약	First, we discuss multiple-paths SLEkappa in simply connected domains. In particular, we give a definition using the Brownian loop measure and show that the partition function is smooth. These results are based on a joint work with Greg Lawler
요약	Next, we recall SLEkappa in multiply-connected domains defined in a work of Lawler. As before, the Brownian loop measure is used to define SLEkappa by describing particular Radon-Nikodym derivatives. In addition, we give an argument comparing
요약	Then, we define multiple-paths SLEkappa in multiply-connected domains and prove that its partition function is smooth using the Hormander's theorem. While the definition is similar to multiple-paths SLEkappa in simply-connected domains, the pro
요약	Finally, we use two independent radial SLEkappa kappa curves to give a construction of two-sided SLEkappa measure growing simultaneously from the marked points. We show that this measure is comparable to the distribution of two SLEkappa paths
일반주제명	Statistics.
언어	영어
기본자료 저록	Dissertation Abstracts International80-01B(E). Dissertation Abstract International
대출바로가기	http://www.riss.kr/pdu/ddodLink.do?id=T14998662