The limiting distribution for the number of symbol comparisons used by QuickSort is nondegenerate (extended abstract)

Details The limiting distribution for the number of symbol comparisons used by QuickSort is nondegenerate (extended abstract) The limiting distribution for the number of symbol comparisons used by QuickSort is nondegenerate (extended abstract)

2012-01-31

arxiv.org/abs/1201.6444v1

Mathematics

Probability

Scientific paper

In a continuous-time setting, Fill (2010) proved, for a large class of probabilistic sources, that the number of symbol comparisons used by QuickSort, when centered by subtracting the mean and scaled by dividing by time, has a limiting distribution, but proved little about that limiting random variable Y -- not even that it is nondegenerate. We establish the nondegeneracy of Y. The proof is perhaps surprisingly difficult.

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