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Open Access

Author:: Wasson, Ryan Douglas
Title:: Data Compression and Fractal Dimension for Measures
Graduate Program:: Mathematics
Keywords:: Kolmogorov complexity
Lempel-Ziv
fractal dimension
Hausdorff dimension
information dimension
multifractal spectrum
File:: Download wasson_thesis_updated.pdf
Committee Members:: Jan Severin Reimann, Thesis Advisor/Co-Advisor

Open Access

Author:: Liu, Qiao
Title:: TWO PROBLEMS IN DYNAMICS ON TORI
Graduate Program:: Mathematics
Keywords:: Group action
Hausdorff dimension
Local rigidity
Dynamical system
File:: Download Qiao_Liu-Dissertation_final_version.pdf
Committee Members:: Federico Rodriguez Hertz, Major Field Member
Zhiren Wang, Chair & Dissertation Advisor
Martin Bojowald, Outside Unit & Field Member
Boris Kalinin, Major Field Member
Carina Curto, Program Head/Chair

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