Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rate of convergence of major cost incurred in the in-situ permutation
  algorithm   The in-situ permutation algorithm due to MacLeod replaces
$(x_{1},\cdots,x_{n})$ by $(x_{p(1)},\cdots,x_{p(n)})$ where
$\pi=(p(1),\cdots,p(n))$ is a permutation of $\{1,2,\cdots,n\}$ using at most
$O(1)$ space. Kirshenhofer, Prodinger and Tichy have shown that the major cost
incurred in the algorithm satisfies a recurrence similar to sequence of the
number of key comparisons needed by the Quicksort algorithm to sort an array of
$n$ randomly permuted items. Further, Hwang has proved that the normalized cost
converges in distribution. Here, following Neininger and R\"uschendorf, we
prove the that rate of convergence to be of the order $\Theta(\ln(n)/n)$ in the
Zolotarev metric.

35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom