39 citations · 62 across the 11 of their papers we have counts for
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math.PR2001
Quicksort asymptotics
James Allen Fill, Svante Janson
The number of comparisons X_n used by Quicksort to sort an array of n distinct numbers has mean mu_n of order n log n and standard deviation of order n. Using different methods, Re…
math.PR2001
Approximating the limiting Quicksort distribution
James Allen Fill, Svante Janson
The limiting distribution of the normalized number of comparisons used by Quicksort to sort an array of n numbers is known to be the unique fixed point with zero mean of a certain…
math.FA2001
An Interesting Class of Operators with unusual Schatten-von Neumann behavior
A. B. Aleksandrov, S. Janson, V. V. Peller +1
We consider the class of integral operators $Q_\f$ on of the form $(Q_\f f)(x)=\int_0^\be\f (\max\{x,y\})f(y)dy$. We discuss necessary and sufficient conditions on …