Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Absorbing and Shattered Fragmentation Transitions in Multilayer
  Coevolution   We introduce a coevolution voter model in a multilayer, by coupling a
fraction of nodes across two network layers and allowing each layer to evolve
according to its own topological temporal scale. When these time scales are the
same the dynamics preserve the absorbing-fragmentation transition observed in a
monolayer network at a critical value of the temporal scale that depends on
interlayer connectivity. The time evolution equations obtained by pair
approximation can be mapped to a coevolution voter model in a single layer with
an effective average degree. When the two layers have different topological
time scales we find an anomalous transition, named shattered fragmentation, in
which the network in one layer splits into two large components in opposite
states and a multiplicity of isolated nodes. We identify the growth of the
number of components as a signature of this anomalous transition. We also find
a critical level of interlayer coupling needed to prevent the fragmentation in
a layer connected to a layer that does not fragment.

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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph