Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distributed Consensus on Set-valued Information   This paper focuses on the convergence of infor- mation in distributed systems
of agents communicating over a network. The information on which the
convergence is sought is not represented by real numbers, rather by sets of
real numbers, whose possible dynamics are given by the class of so-called
Boolean maps, involving only unions, intersections, and complements of sets.
Based on a notion of contractivity, a necessary and sufficient condition
ensuring the global and local convergence toward an equilibrium point is
presented. In particular the analysis of global convergence recovers results
already obtained by the authors, but the more general approach used in this
paper allows analogue results to be found to characterize the local
convergence.

2
The categories of this paper are: math
18
The categories of this paper are: econ
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph