Smoothness and decay properties of the limiting Quicksort density function

Using Fourier analysis, we prove that the limiting distribution of the standardized random number of comparisons used by Quicksort to sort an array of n numbers has an everywhere positive and infinitely differentiable density f, and that each derivative f(k) enjoys superpolynomial decay at

• Type: Journal
• Year: 2000
• Where: CORR
• Authors: James Allen Fill, Svante Janson
• Keywords: AMS 2000 Subject, CORR 2000, Education, Fourier Analysis, Standardized Random Number