| LDR | | 02759nmm uu200433 4500 |
| 001 | | 000000333846 |
| 005 | | 20240805174640 |
| 008 | | 181129s2018 |||||||||||||||||c||eng d |
| 020 | |
▼a 9780438370203 |
| 035 | |
▼a (MiAaPQ)AAI10824467 |
| 035 | |
▼a (MiAaPQ)uchicago:14411 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 248032 |
| 082 | 0 |
▼a 310 |
| 100 | 1 |
▼a Jahangoshahi, Mohammad. |
| 245 | 10 |
▼a On Multiple-Paths Schramm-Loewner Evolution. |
| 260 | |
▼a [S.l.] :
▼b The University of Chicago.,
▼c 2018 |
| 260 | 1 |
▼a Ann Arbor :
▼b ProQuest Dissertations & Theses,
▼c 2018 |
| 300 | |
▼a 128 p. |
| 500 | |
▼a Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B. |
| 500 | |
▼a Adviser: Gregory F. Lawler. |
| 502 | 1 |
▼a Thesis (Ph.D.)--The University of Chicago, 2018. |
| 520 | |
▼a 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 |
| 520 | |
▼a 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 |
| 520 | |
▼a 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 |
| 520 | |
▼a 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 |
| 520 | |
▼a 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 |
| 520 | |
▼a 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 |
| 590 | |
▼a School code: 0330. |
| 650 | 4 |
▼a Statistics. |
| 690 | |
▼a 0463 |
| 710 | 20 |
▼a The University of Chicago.
▼b Statistics. |
| 773 | 0 |
▼t Dissertation Abstracts International
▼g 80-01B(E). |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0330 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2018 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T14998662
▼n KERIS |
| 980 | |
▼a 201812
▼f 2019 |
| 990 | |
▼a 관리자 |