New structural properties of strings generated by leading digits of \(2^ n\)

DOI10.1016/0096-3003(84)90023-7zbMath0529.60015OpenAlexW1972281057MaRDI QIDQ787571

David S. Scott, V. R. R. Uppuluri, S. Sitharama Iyengar, Mohan Yellayi, A. K. Rajagopal

Publication date: 1984

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(84)90023-7

zbMATH Keywords

statistical mechanicsergodic theoryfirst decimal digits of the powers of 2probabilities of occurrencestate transition graphs

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Classical equilibrium statistical mechanics (general) (82B05) Radix representation; digital problems (11A63) Information theory (general) (94A15) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Distribution theory (60E99)

Related Items (2)

First digit phenomenon and ergodic theory ⋮ String patterns of leading digits

Cites Work

• First digit phenomenon and ergodic theory
• String patterns of leading digits
• Quantitative universality for a class of nonlinear transformations
• On the Distribution of First Significant Digits
• The First Digit Problem
• Kinetic theory of the heat transfer near a cylinder
• On the distributions of significant digits and roundoff errors
• On the Distribution of Numbers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: New structural properties of strings generated by leading digits of \(2^ n\)