4 citations · 6 across the 5 of their papers we have counts for
7 papers
Baire-category transfer between Engel and Pierce expansions
Min Woong Ahn
In this paper, we construct an explicit correspondence between Engel and Pierce expansion digit sequences, obtained by adding to the th Engel expansion digit, and show tha…
Upper and lower fluctuations in Shallit's law of leap years in Pierce expansions
Min Woong Ahn
Shallit's law of leap years in Pierce expansions gives, for Lebesgue-almost every , the upper and lower limits of a normalized difference between and the number of…
A topology for Engel expansions: evaluation and digit coding maps
Min Woong Ahn
We develop a topological framework for Engel expansions that treats both directions of the correspondence between points of and nondecreasing digit sequences. We endow the…
Hausdorff dimension of the graph of the unweighted error-sum function of continued fractions
Min Woong Ahn
We study the unweighted error-sum function , where denotes the th convergent of the continued fract…
Exceptional sets to Shallit's law of leap years in Pierce expansions
Min Woong Ahn
In his 1994 work, Shallit introduced a rule for determining leap years that generalizes both the historically used Julian calendar and the contemporary Gregorian calendar. This rul…
Continuity of the continued fraction mapping revisited
Min Woong Ahn
The continued fraction mapping maps a number in the interval to the sequence of its partial quotients. When restricted to the set of irrationals, which is a subspace of the…
Convergence exponent of Pierce expansion digit sequences
Min Woong Ahn
In this paper, we investigate the convergence exponent of Pierce expansion digit sequences. We explore some basic properties of the convergence exponent as a real-valued function d…