Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence to consensus for a Hegselmann-Krause-type model with
  distributed time delay   In this paper we study a Hegselmann-Krause opinion formation model with
distributed time delay and positive influence functions. Through a Lyapunov
functional approach, we provide a consensus result under a smallness assumption
on the initial delay. Furthermore, we analyze a transport equation, obtained as
mean--field limit of the particle one. We prove global existence and uniqueness
of the measure-valued solution for the delayed transport equation and its
convergence to consensus under a smallness assumption on the delay, using a
priori estimates which are uniform with respect to the number of agents.

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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin