2 papers
math.DS2024
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.NT2023
Entanglement entropies in the abelian arithmetic Chern-Simons theory
Hee-Joong Chung, Dohyeong Kim, Minhyong Kim +2
The notion of {\em entanglement entropy} in quantum mechanical systems is an important quantity, which measures how much a physical state is entangled in a composite system. Mathem…