A dimensional result in continued fractions

DOI10.1142/S179304211450002XzbMath1297.11090OpenAlexW2004178413MaRDI QIDQ5494547

Jun Wu, Yu Sun

Publication date: 28 July 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179304211450002x

zbMATH Keywords

Hausdorff dimensioncontinued fractionpartial quotientconvergent

Mathematics Subject Classification ID

Fractals (28A80) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Metric theory of continued fractions (11K50)

Related Items (13)

The relative growth rate of the largest digit in continued fraction expansions ⋮ Hausdorff dimension of sets of numbers with large L\"uroth elements ⋮ A DIMENSIONAL RESULT ON THE PRODUCT OF CONSECUTIVE PARTIAL QUOTIENTS IN CONTINUED FRACTIONS ⋮ A note on approximation efficiency and partial quotients of Engel continued fractions ⋮ Baire category and the relative growth rate for partial quotients in continued fractions ⋮ The relative growth rate for the digits in Lüroth expansions ⋮ On the intersections of localized Jarník sets and localized uniformly Jarník sets in continued fractions ⋮ The relative growth rate of the largest partial quotient to the sum of partial quotients in continued fraction expansions ⋮ The relative growth rate for partial quotients in continued fractions ⋮ Uniformly non–improvable Dirichlet set via continued fractions ⋮ Sets of Dirichlet non-improvable numbers with certain order in the theory of continued fractions ^* ⋮ THE RELATIVE CONVERGENCE SPEED FOR ENGEL EXPANSIONS AND HAUSDORFF DIMENSION ⋮ EXACT DIMENSIONS OF EXCEPTIONAL SETS IN LÜROTH EXPANSIONS

Cites Work

• Unnamed Item
• Sets of exact approximation order by rational numbers
• On Khintchine exponents and Lyapunov exponents of continued fractions
• On the fractional dimension of sets of continued fractions
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
• A PROBLEM IN THE FRACTIONAL DIMENSION THEORY OF CONTINUED FRACTIONS

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