Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Rate of Convergence of the Power-of-Two-Choices to its Mean-Field
  Limit   This paper studies the rate of convergence of the power-of-two-choices, a
celebrated randomized load balancing algorithm for many-server queueing
systems, to its mean field limit. The convergence to the mean-field limit has
been proved in the literature, but the rate of convergence remained to be an
open problem. This paper establishes that the sequence of stationary
distributions, indexed by $M,$ the number of servers in the system, converges
in mean-square to its mean-field limit with rate $O\left(\frac{(\log M)^3
(\log\log M)^2}{M}\right).$

32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int