Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Respondent Driven Sampling on sparse Erd\"os-R\'enyi graphs   We study the exploration of an Erd\"os-R\'enyi random graph by a
respondent-driven sampling method, where discovered vertices reveal their
neighbours. Some of them receive coupons to reveal in their turn their own
neighbourhood. This leads to the study of a Markov chain on the random graph
that we study. For sparse Erd\"os-R\'enyi graphs of large sizes, this process
correctly renormalized converges to the solution of a deterministic curve,
solution of a system of ODEs absorbed on the abscissa axis. The associated
fluctuation process is also studied, providing a functional central limit
theorem, with a Gaussian limiting process. Simulations and numerical
computation illustrate the study.

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The categories of this paper are: hep-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
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The categories of this paper are: physics
29
The categories of this paper are: funct-an
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The categories of this paper are: cs
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol