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J. Korean Math. Soc. 2010; 47(5): 1055-1075
Printed September 1, 2010
https://doi.org/10.4134/JKMS.2010.47.5.1055
Copyright © The Korean Mathematical Society.
On some properties of Benford's law
Dominik Strza\l{}ka
Rzesz\'ow University of Technology
In presented paper there were studied some properties of Benford's law. The existence of this law in not necessary large sets of numbers is a very interesting example that can show how the complex phenomena can appear in the positional number systems. Such systems seem to be very simple and intuitive and help us proceed with numbers. However, their simplicity in the case of usage in our lifetime is not necessary connected with the simplicity in the case of laws that govern them. Even if this laws indicate the existence of self-similar properties.
Keywords: Benford's law, self-similarity, complex systems
MSC numbers: 11B99, 11Z05, 28A80
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