Journal of Dynamics and Differential Equations 28(2), pp. 432-469.
ISSN/ISBN: 1040-7294 DOI: 10.1007/s10884-014-9393-y
Abstract: A necessary and sufficient condition (“nonresonance”) is established for every solution of an autonomous linear difference equation, or more generally for every sequence (x⊤Any) with x,y∈ℝd and A∈ℝd×d, to be either trivial or else conform to a strong form of Benford’s Law (logarithmic distribution of significands). This condition contains all pertinent results in the literature as special cases. Its number-theoretical implications are discussed in the context of specific examples, and so are its possible extensions and modifications.
Bibtex:
@article{
year={2016},
issn={1040-7294},
journal={Journal of Dynamics and Differential Equations},
volume={28},
number={2},
doi={10.1007/s10884-014-9393-y},
title={A Characterization of Benford's Law in Discrete-Time Linear Systems},
url={http://dx.doi.org/10.1007/s10884-014-9393-y},
publisher={Springer US},
author={Berger, Arno and Eshun, Gideon},
pages={432--469},
language={English}
}
Reference Type: Journal Article
Subject Area(s): Dynamical Systems