2026-09-21T21:40:54Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/44347 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Leininger, Christopher J. Dunfield, Nathan M. Leininger, Christopher J. Kapovitch, Ilia Athreya, Jayadev S. Maungchang, Rasimate 2013-05-24T22:08:32Z 2013-05-24T22:08:32Z 2013-05 2013-05-24T22:08:32Z 2013-05 This dissertation is concerned with geometric and combinatoric problems of curves on surfaces. In Chapter 3, we show that certain families of iso-length spectral hyperbolic surfaces obtained via the Sunada construction are not generally simple iso-length spectral. In Chapter 4, We prove a strong form of finite rigidity for pants graphs of spheres. Specifically, for any n ≥ 5 we construct a finite subgraph Xn of the pants graph P(S0,n) of the n-punctures sphere S0,n with the following property. Any simplicial embedding of Xn into any pants graph P(S0,m) of a punctured sphere is induced by an embedding S0,n → S0,m. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2013-04-16T13:43:44Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 23 thesis.bib: 10859 bytes, checksum: 6b17f7b613eabcf4a7997d5e4e9dca16 (MD5) Z.pdf: 3747 bytes, checksum: 27ce988eaca098d11b3d626de4af4379 (MD5) X6.pdf: 2952 bytes, checksum: 6aaf5b21c057663cf27bd8de2e6bd68b (MD5) sym.pdf: 3780 bytes, checksum: 5b947a73d8de689eeedc2c64445adb3d (MD5) S_0_8.pdf: 2946 bytes, checksum: 5436d2a66d412e70781a4deb7ac7068c (MD5) S_0_5.pdf: 3800 bytes, checksum: 791b3de56d48ebc3933d8617127a549b (MD5) image.pdf: 9323 bytes, checksum: 1e3c83ce86cd51db815d193fa22aab7c (MD5) 2.pdf: 2683 bytes, checksum: 81d5bbbb02eaa71e1bb4b95a31ba02ab (MD5) 1.pdf: 3845 bytes, checksum: 3c6c608c5457311a12f04b1e55574ccd (MD5) spine.pdf: 5154 bytes, checksum: 669ba6e7f72b06b74d2e6e7ec8d572e0 (MD5) 2holes.pdf: 10552 bytes, checksum: 38e3f69e78c88d648f46b7d63fcb9b31 (MD5) 2g_x.pdf: 7134 bytes, checksum: fef830ca9c194405e1f18c20783814c1 (MD5) 2g_curve.pdf: 8827 bytes, checksum: 1eb415c9f38baa5659878660a804f100 (MD5) covering_space_M.pdf: 61658 bytes, checksum: 26699797dd87dc47e3626d9dc8b60d2a (MD5) covering_space_M_curve.pdf: 25511 bytes, checksum: 655522395b0e238764f5237402b80e60 (MD5) covering_space_M_N.pdf: 15416 bytes, checksum: 000df298ef1fa2c013a2a9be62bf7d86 (MD5) 2g_generators.pdf: 8121 bytes, checksum: abb95193d771ec1e586e8ee593f5feab (MD5) pentagon.pdf: 13378 bytes, checksum: 3ba1c342aabd3cef25e1ef15d0a205ea (MD5) twist.pdf: 18799 bytes, checksum: 958689244b196f0ab8b4c06b7259dc31 (MD5) elementary.pdf: 16026 bytes, checksum: 905c32425aa00a52154353e8cababf2a (MD5) Maungchang_Rasimate.tex: 101152 bytes, checksum: 4c5a5e0d4375ce1a94bf7391e6934f26 (MD5) tracecheck.nb: 39413 bytes, checksum: ae5a4f70ac69556901c82ae188b331d2 (MD5) Maungchang_Rasimate.pdf: 585615 bytes, checksum: 000e51e60a903d980c668873648b2f14 (MD5) Made available in DSpace on 2013-05-24T22:08:32Z (GMT). No. of bitstreams: 24 Rasimate_Maungchang.pdf: 585615 bytes, checksum: 000e51e60a903d980c668873648b2f14 (MD5) tracecheck.nb: 39413 bytes, checksum: ae5a4f70ac69556901c82ae188b331d2 (MD5) thesis.bib: 10859 bytes, checksum: 6b17f7b613eabcf4a7997d5e4e9dca16 (MD5) Z.pdf: 3747 bytes, checksum: 27ce988eaca098d11b3d626de4af4379 (MD5) X6.pdf: 2952 bytes, checksum: 6aaf5b21c057663cf27bd8de2e6bd68b (MD5) sym.pdf: 3780 bytes, checksum: 5b947a73d8de689eeedc2c64445adb3d (MD5) S_0_8.pdf: 2946 bytes, checksum: 5436d2a66d412e70781a4deb7ac7068c (MD5) S_0_5.pdf: 3800 bytes, checksum: 791b3de56d48ebc3933d8617127a549b (MD5) image.pdf: 9323 bytes, checksum: 1e3c83ce86cd51db815d193fa22aab7c (MD5) 2.pdf: 2683 bytes, checksum: 81d5bbbb02eaa71e1bb4b95a31ba02ab (MD5) 1.pdf: 3845 bytes, checksum: 3c6c608c5457311a12f04b1e55574ccd (MD5) spine.pdf: 5154 bytes, checksum: 669ba6e7f72b06b74d2e6e7ec8d572e0 (MD5) 2holes.pdf: 10552 bytes, checksum: 38e3f69e78c88d648f46b7d63fcb9b31 (MD5) 2g_x.pdf: 7134 bytes, checksum: fef830ca9c194405e1f18c20783814c1 (MD5) 2g_curve.pdf: 8827 bytes, checksum: 1eb415c9f38baa5659878660a804f100 (MD5) covering_space_M.pdf: 61658 bytes, checksum: 26699797dd87dc47e3626d9dc8b60d2a (MD5) covering_space_M_curve.pdf: 25511 bytes, checksum: 655522395b0e238764f5237402b80e60 (MD5) covering_space_M_N.pdf: 15416 bytes, checksum: 000df298ef1fa2c013a2a9be62bf7d86 (MD5) 2g_generators.pdf: 8121 bytes, checksum: abb95193d771ec1e586e8ee593f5feab (MD5) pentagon.pdf: 13378 bytes, checksum: 3ba1c342aabd3cef25e1ef15d0a205ea (MD5) twist.pdf: 18799 bytes, checksum: 958689244b196f0ab8b4c06b7259dc31 (MD5) elementary.pdf: 16026 bytes, checksum: 905c32425aa00a52154353e8cababf2a (MD5) Maungchang_Rasimate.tex: 101152 bytes, checksum: 4c5a5e0d4375ce1a94bf7391e6934f26 (MD5) license.txt: 4069 bytes, checksum: 7b03abd463c11de2f0cc5a728acf1a1b (MD5) http://hdl.handle.net/2142/44347 en Copyright 2013 by Rasimate Maungchang. All rights reserved. Sunada construction Length spectral finite rigidity pants graphs Curves on surfaces text Mathematics 1257 Mathematics 0439 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Mathematics -UIUC 10KS0439PHD