Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamic Random Geometric Graphs   In this work we introduce Dynamic Random Geometric Graphs as a basic rough
model for mobile wireless sensor networks, where communication distances are
set to the known threshold for connectivity of static random geometric graphs.
We provide precise asymptotic results for the expected length of the
connectivity and disconnectivity periods of the network. We believe the formal
tools developed in this work could be of use in future studies in more concrete
settings. In addition, for static random geometric graphs at the threshold for
connectivity, we provide asymptotic expressions on the probability of existence
of components according to their sizes.

33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin