Hausdorff dimension of some continued-fraction sets

DOI10.1007/BF00536005zbMath0287.10042MaRDI QIDQ4773779

Inge Henningsen, Patrick Billingsley

Publication date: 1975

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items

A dimension gap for continued fractions with independent digits -- the non stationary case ⋮ A NONCONVENTIONAL STRONG LAW OF LARGE NUMBERS AND FRACTAL DIMENSIONS OF SOME MULTIPLE RECURRENCE SETS ⋮ A dimension gap for continued fractions with independent digits ⋮ On the frequency of partial quotients of regular continued fractions

Cites Work

• Hausdorff dimension in probability theory. I, II
• The dimension of some sets defined in terms of f-expansions
• A Note on the Ergodic Theorem of Information Theory
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