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CORR
2000
Springer
71views Education» more  CORR 2000»
15 years 4 months ago
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 ...
James Allen Fill, Svante Janson
CORR
2000
Springer
100views Education» more  CORR 2000»
15 years 4 months ago
Perfect simulation from the Quicksort limit distribution
The weak limit of the normalized number of comparisons needed by the Quicksort algorithm to sort n randomly permuted items is known to be determined implicitly by a distributional...
Luc Devroye, James Allen Fill, Ralph Neininger
JGS
2000
84views more  JGS 2000»
15 years 4 months ago
Mapping rates associated with polygons
Abstract. Suppose that geographic data under investigation are rates associated with polygons. For example, disease incidence, mortality, and census undercount data may be displaye...
Noel Cressie, Hal S. Stern, Deanne Reber Wright
DM
1999
122views more  DM 1999»
15 years 4 months ago
Parking functions, valet functions and priority queues
We construct a bijection between labeled trees and allowable pairs of permutations sorted by a priority queue. These are also the pairs of permutations that avoid the pattern pairs...
Julian D. Gilbey, Louis H. Kalikow
MST
1998
91views more  MST 1998»
15 years 4 months ago
An Experimental Analysis of Parallel
We have developed a methodology for predicting the performance of parallel algorithms on real parallel machines. The methodology consists of two steps. First, we characterize a mac...
Guy E. Blelloch, Charles E. Leiserson