1. Partial randomness and Kolmogorov complexity Open Access Author: Hudelson, William Title: Partial randomness and Kolmogorov complexity Graduate Program: Mathematics Keywords: randomnessalgorithmic randomnesscomplexityKolmogorov complexitycomputabilityrecursion theorymathematical logic File: Download dissertation-hudelson.pdf Committee Members: Stephen George Simpson, Dissertation Advisor/Co-AdvisorJan Severin Reimann, Committee MemberManfred Heinz Denker, Committee MemberMartin Furer, Committee Member
2. Data Compression and Fractal Dimension for Measures Open Access Author: Wasson, Ryan Douglas Title: Data Compression and Fractal Dimension for Measures Graduate Program: Mathematics Keywords: Kolmogorov complexityLempel-Zivfractal dimensionHausdorff dimensioninformation dimensionmultifractal spectrum File: Download wasson_thesis_updated.pdf Committee Members: Jan Severin Reimann, Thesis Advisor/Co-Advisor