On the nature of Benford's law

DOI10.1016/S0378-4371(01)00497-6zbMath0983.11046OpenAlexW2084128242MaRDI QIDQ5951405

Georg A. Gottwald, Matthew Nicol

Publication date: 6 January 2002

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4371(01)00497-6

zbMATH Keywords

probability distributionBenford's lawaffine real number sequencesmultiplicative real number sequences

Mathematics Subject Classification ID

Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Special sequences (11K31)

Related Items (6)

Theory of analogous force on number sets ⋮ First digit law from Laplace transform ⋮ BENFORD'S LAW IN POWER-LIKE DYNAMICAL SYSTEMS ⋮ On the distribution of mantissae in nonautonomous difference equations ⋮ Benford analysis of quantum critical phenomena: first digit provides high finite-size scaling exponent while first two and further are not much better ⋮ Some dynamical properties of Benford sequences

Cites Work

• Ergodic theory. Introductory lectures
• Stable ergodicity of skew extensions by compact Lie groups
• Euclidean extensions of dynamical systems
• The First Digit Problem
• Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf
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