Most linear flows on Rd are Benford

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On Logarithmically Benford Sequences

Abstract. Let I ⊂ N be an infinite subset, and let {ai}i∈I be a sequence of nonzero real numbers indexed by I such that there exist positive constants m,C1 for which |ai| ≤ C1 · i for all i ∈ I. Furthermore, let ci ∈ [−1, 1] be defined by ci = ai C1·i for each i ∈ I, and suppose the ci’s are equidistributed in [−1, 1] with respect to a continuous, symmetric probability measure μ. In this paper,...

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 2015

ISSN: 0022-0396

DOI: 10.1016/j.jde.2015.03.016