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Leininger, Christopher J. Kapovitch, Ilia Leininger, Christopher J. Bradlow, Steven B. Dunfield, Nathan M. Tsai, Chia-Yen 2010-05-19T18:36:19Z 2010-05-19T18:36:19Z 2010-05-19T18:36:19Z Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2010-04-19T22:53:25Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Tsai_Chia-Yen.zip: 561748 bytes, checksum: 33d4032adf3daa4cabdbd93fb0a9fbf0 (MD5) Tsai_Chia-Yen.pdf: 662625 bytes, checksum: 343d326f6e9dd462ac63cf977cabf0e0 (MD5) Made available in DSpace on 2010-05-19T18:36:19Z (GMT). No. of bitstreams: 3 Tsai_Chia-Yen.zip: 561748 bytes, checksum: 33d4032adf3daa4cabdbd93fb0a9fbf0 (MD5) Tsai_Chia-Yen.pdf: 662625 bytes, checksum: 343d326f6e9dd462ac63cf977cabf0e0 (MD5) license.txt: 4057 bytes, checksum: aebbbd946da94ab8d9d4b5cc7f3188e4 (MD5) http://hdl.handle.net/2142/16103 en Copyright 2010 Chia-Yen Tsai pseudo-Anosov dilatation mapping class group Teichmuller space Minimal pseudo-Anosov translation lengths on the Teichmuller space 2010-5 Dissertation Ph.D. Mathematics 1257 Mathematics 0439 University of Illinois at Urbana-Champaign PHD:Mathematics -UIUC 10KS0439PHD