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Discrepancies of Hypergraphs of High Kolmogorov Complexity

Willem L. Fouché 1
1Department of Quantitative Management, University of South Africa, PO Box 392, 0003 Pretoria, South Africa

Abstract

We study the discrepancies of set systems whose incidence matrices are encoded by binary strings which are complex in the sense of Kolmogorov-Chaitin. We show that these systems display an optimal degree of irregularity of distribution.