The authors give effective Lévy-Khintchine theorems in higher-dimensional Diophantine approximation and central limit theorems for best approximations via homogeneous dynamics techniques.
LeVeque, On the frequency of small fractional parts in certain real sequences , Trans
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L\'{e}vy-Khintchine Theorems: effective results and central limit theorems
The authors give effective Lévy-Khintchine theorems in higher-dimensional Diophantine approximation and central limit theorems for best approximations via homogeneous dynamics techniques.