219 citations · 538 across the 22 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.PR2021★ 1 cited
A generalized Kubilius-Barban-Vinogradov bound for prime multiplicities
Louis H. Y. Chen, Arturo Jaramillo, Xiaochuan Yang
We present an assessment of the distance in total variation of \textit{arbitrary} collection of prime factor multiplicities of a random number in and a collect…
math.PR2021
Stein's method of normal approximation: Some recollections and reflections
Louis H. Y. Chen
This paper is a short exposition of Stein's method of normal approximation from my personal perspective. It focuses mainly on the characterization of the normal distribution and th…
math.PR2021
A probabilistic approach to the Erdös-Kac theorem for additive functions
Louis H. Y. Chen, Arturo Jaramillo, Xiaochuan Yang
We present a new perspective of assessing the rates of convergence to the Gaussian and Poisson distributions in the Erdös-Kac theorem for additive arithmetic functions of a ran…