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020 ▼a 9781088304594
035 ▼a (MiAaPQ)AAI13899712
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 510
1001 ▼a McCurdy, Sean.
24510 ▼a Minkowski-Type Estimates on the Quantitative Strata of the Generalized Critical Set of Green's Functions for Two-Sided NTA Domains Arising from a Free-Boundary Problem for Harmonic Measure.
260 ▼a [S.l.]: ▼b University of Washington., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 175 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 81-03, Section: B.
500 ▼a Advisor: Toro, Tatiana.
5021 ▼a Thesis (Ph.D.)--University of Washington, 2019.
506 ▼a This item must not be sold to any third party vendors.
506 ▼a This item must not be added to any third party search indexes.
520 ▼a In this work, we prove three things. The main results are two different results on Minkowski-type estimates on the quantitative strata of the generalized critical set of Green's functions of 2-Sided NTA domains arising from a free-boundary problem for harmonic measure. The first uses simpler techniques and obtains weaker results. The second employs much more complicated machinery and obtains a much stronger result which completely subsumes the results of the first approach. The third result contained in this work is the construction of two families of rectifiable sets which fail to be uniformly rectifiable as dramatically as possible which still retaining nice topological and measure theoretic properties. This third result is independent of the first two, and represents joint work with Max Goering.
590 ▼a School code: 0250.
650 4 ▼a Mathematics.
690 ▼a 0405
71020 ▼a University of Washington. ▼b Mathematics.
7730 ▼t Dissertations Abstracts International ▼g 81-03B.
773 ▼t Dissertation Abstract International
790 ▼a 0250
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15492095 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1008102
991 ▼a E-BOOK