2026-09-22T00:33:34Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/99345 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Tyson, Jeremy T. Wu, Jang-Mei G D'Angelo, John P. Leininger, Christopher J. Romney, Matthew 2018-03-13T15:48:43Z 2018-03-13T15:48:43Z 2017-12-03 2017-12 Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-03-13 without embargo terms The student, Matthew Romney, accepted the attached license on 2017-11-29 at 20:37. The student, Matthew Romney, submitted this Dissertation for approval on 2017-11-30 at 11:05. This Dissertation was approved for publication on 2017-12-03 at 11:57. DSpace SAF Submission Ingestion Package generated from Vireo submission #11786 on 2018-03-13 at 10:09:26 Made available in DSpace on 2018-03-13T15:48:43Z (GMT). No. of bitstreams: 13 ROMNEY-DISSERTATION-2017.pdf: 860928 bytes, checksum: 7565c98a8d4e1b1e7489be6795225ea4 (MD5) GrushinConcentricBalls.jpg: 13544 bytes, checksum: 5558f2e79f8eab049e1ba9fc21b80628 (MD5) GrushinTransformedBalls.jpg: 15252 bytes, checksum: b3ab8058bf7d15ff176f2ed59caa5204 (MD5) IPath.jpg: 51686 bytes, checksum: c0c6159211d5237c2dac688bcd9e8e23 (MD5) LPath.jpg: 54905 bytes, checksum: 94d243fd841f3b220d06819ac953eb7f (MD5) LaaksoGraph.jpg: 17109 bytes, checksum: 264ce061d6456ed6e9844c4863d961bb (MD5) Thesis.bbl: 20727 bytes, checksum: 8ece3c3c5dce5112c9228099144ad200 (MD5) Thesis.tex: 146520 bytes, checksum: be175c1d7b380ea95ae8269aa0572ffc (MD5) grushin_geodesics.jpg: 43654 bytes, checksum: 1fe8a6557ef10c1d5a0eb2639b4c78d5 (MD5) grushin_quasidistance.jpg: 42269 bytes, checksum: 230d0cd07cb8c36f5fc473e23c853216 (MD5) grushin_vector_field.jpg: 15795 bytes, checksum: 818e3b52c37512f5526b47c7e7f4e37a (MD5) grushin_whitney.jpg: 18263 bytes, checksum: e0548662331196057d24f13c7c91a59a (MD5) LICENSE.txt: 4211 bytes, checksum: a810e29be5703e65f7b2087e6f6d0a9e (MD5) Previous issue date: 2017-12-03 application/pdf http://hdl.handle.net/2142/99345 en Copyright 2017 Matthew Romney Metric space Bi-Lipschitz embedding Sub-Riemannian geometry Quasiconformal mapping Metric geometry of the Grushin plane and generalizations text text Ph.D. Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation