The Quicksort process
Mahmoud Ragab and
Uwe Roesler
Stochastic Processes and their Applications, 2014, vol. 124, issue 2, 1036-1054
Abstract:
Quicksort on the fly returns the input of n reals in increasing natural order during the sorting process. Correctly normalized the running time up to returning the l-th smallest out of n seen as a process in l converges weakly to a limiting process with path in the space of cadlag functions.
Keywords: Sorting; Quicksort; Divide and conquer algorithm; Random algorithm; Running time analysis; Stochastic process; Cadlag functions; Asymptotics; Skorodhod metric (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (3)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:124:y:2014:i:2:p:1036-1054
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DOI: 10.1016/j.spa.2013.09.014
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