3 papers
math.NT2026
Asymptotic statistics for finite continued fractions with restricted digits
Jungwon Lee
Zaremba's conjecture concerns a formation of continued fraction expansions for rational numbers with partial quotient bounded by an absolute constant. We present asymptotic estimat…
math.DS2025
Euclidean algorithms are Gaussian over imaginary quadratic fields
Dohyeong Kim, Jungwon Lee, Seonhee Lim
The distributional analysis of Euclidean algorithms was carried out by Baladi and Vallée. They showed the asymptotic normality of the number of division steps and associated costs…
math.DS2025
Multidimensional statistics for finite orbits of generalised continued fractions
Valérie Berthé, Stephen Cantrell, Jungwon Lee +1
We statistically compare the relationships between frequencies of digits in continued fraction expansions of typical rational points in the unit interval and higher dimensional gen…