Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fluid limits for Queue-based CSMA with polynomial rates, homogenization
  and reflection   We study in this paper a variation of the acclaimed CSMA random access
protocol. We will focus on the case where back-off rates at each node is
polynomial in the size of the queue. Under a condition relating the exponent in
the polynomial rates and the geometry of the interference graph, we prove
convergence of the scaled process to a deterministic fluid limit up to the time
a queue reaches $0$ on the fluid scale . We outline the difficulties arising at
that time and solve them in the case of a complete interference graph. This
paper relies on a new method to obtain a fully coupled stochastic averaging
principle and can hopefully lead to more result in heavy load situations.

29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom