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Berger, A and Eshun, G (2014)

A characterization of Benford's law in discrete-time linear systems

Journal of Dynamics and Differential Equations, Springer; published online 15 September 2014.

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.

@article{ year={2014}, issn={1040-7294}, journal={Journal of Dynamics and Differential Equations}, doi={10.1007/s10884-014-9393-y}, title={A Characterization of Benford's Law in Discrete-Time Linear Systems}, url={}, publisher={Springer US}, author={Berger, Arno and Eshun, Gideon}, pages={1--39}, language={English} }

Reference Type: Journal Article

Subject Area(s): Dynamical Systems