Karl Entacher
This article provides insights into the theory of uniform distribution of sequences modulo one. Basic examples illustrate elementary concepts and special graphical presentations of (local) discrepancy, the classical measure of uniform distribution, exhibit our understanding of the beauty of this theory.
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Introduction
Equidistributed Point Sets
Discrepancy
Visualizations
More Point Sets
Summary
Acknowledgments
References
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About the Author
Karl Entacher received his B. S., M. S., and Ph.D. degrees in mathematics from the University of Salzburg and completed his Habilitation on Scientific Computing at the same university. He currently holds a faculty position in the School of Telecommunications Engineering at Salzburg University of Applied Sciences and Technologies. His research interests include simulation, Monte Carlo and quasi-Monte Carlo methods, random number generation, parallel random numbers, and low-discrepancy point sets.
Karl Entacher
School of Telecommunications Engineering Salzburg University of Applied Sciences & Technologies Schillerstrasse 30 A-5020 Salzburg Austria
karl.entacher@fh-sbg.ac.at
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