Mesures invariantes par translation, classes de Dynkin first-digit problem. (Translation invariant measures; first-digit problem Dynkin classes)

DOI10.1016/0001-8708(85)90004-0zbMath0627.28010OpenAlexW1972582567MaRDI QIDQ581580

Jianyong Qiao, Sumit K. Garg

Publication date: 1985

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(85)90004-0

zbMATH Keywords

finitely additive measurestranslation invariant measuresalgebras of subsetsDynkin classfirst-digit problemnatural integrabilitynet of probability measures

Mathematics Subject Classification ID

Probabilistic measure theory (60A10) Special sequences and polynomials (11B83) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

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Cites Work

• Naturally integrable functions
• Some Tauberian theorems related to coin tossing
• The First Digit Problem
• On the Probability that a Random Integer has Initial Digit A
• A Note Concerning the Square-Free Integers
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