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Song, Renming Junge, Marius Kirkpatrick, Kay Ruan, Zhong-Jin Song, Renming Junge, Marius Zeng, Qiang 2014-09-16T17:23:26Z 2014-09-16T17:23:26Z 2014-08 2014-09-16 2014-08 Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2014-07-11T17:41:22Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Zeng_Qiang.pdf: 1079162 bytes, checksum: 9bc39920faa20922d493e9a86e6e6403 (MD5) Made available in DSpace on 2014-09-16T17:23:26Z (GMT). No. of bitstreams: 2 Qiang_Zeng.pdf: 1079167 bytes, checksum: 035aff59b0cb1bb19afafe275e59d081 (MD5) license.txt: 4057 bytes, checksum: 662c5506d57b52ec3525d0ebb2d8de48 (MD5) http://hdl.handle.net/2142/50527 en Copyright 2014 Qiang Zeng noncommutative Lp spaces Poincaré inequalities $\Gamma_2$-criterion martingale inequalities Burkholder inequality spectral gap diffusion semigroups transportation cost inequalities law of the iterated logarithm subgaussian concentration 1-cocycle on groups finite von Neumann algebras Poincar�� inequalities in noncommutative Lp spaces text Mathematics 1257 Mathematics 0439 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Mathematics -UIUC 10KS0439PHD