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Volume 9, Issue 3

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On the Beauty of Uniform Distribution Modulo One
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.

*Notebook


*PDF


*HTML

*Introduction

*Equidistributed Point Sets

*Discrepancy

*Visualizations

*More Point Sets

*Summary

*Acknowledgments

*References

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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