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A note on the quicksort asymptotics

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Publication:5265342
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DOI10.1002/rsa.20524zbMath1332.68039OpenAlexW2070764111MaRDI QIDQ5265342

Michael Fuchs

Publication date: 23 July 2015

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rsa.20524


zbMATH Keywords

central limit theoremQuicksortmoment-transfer approachkey comparisons\(L_{p}\)-distance


Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Searching and sorting (68P10)


Related Items (5)

Logarithmic integrals, zeta values, and tiered binomial coefficients ⋮ Unnamed Item ⋮ Dependence and phase changes in random m‐ary search trees ⋮ On martingale tail sums for the path length in random trees ⋮ On martingale tail sums in affine two-color urn models with multiple drawings


Uses Software

  • Quicksort


Cites Work

  • Phase Change of Limit Laws in the Quicksort Recurrence under Varying Toll Functions
  • A limiting distribution for quicksort
  • Quicksort asymptotics
  • Rates of convergence for Quicksort
  • An asymptotic theory for Cauchy–Euler differential equations with applications to the analysis of algorithms
  • Transfer theorems and asymptotic distributional results for m‐ary search trees


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