Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fitting In and Breaking Up: A Nonlinear Version of Coevolving Voter
  Models   We investigate a nonlinear version of coevolving voter models, in which node
states and network structure update as a coupled stochastic dynamical process.
Most prior work on coevolving voter models has focused on linear update rules
with fixed and homogeneous rewiring and adopting probabilities. By contrast, in
our nonlinear version, the probability that a node rewires or adopts is a
function of how well it "fits in" within its neighborhood. To explore this
idea, we incorporate a parameter $\sigma$ that represents the fraction of
neighbors of an updating node that share its opinion state. In an update, with
probability $\sigma^q$ (for some nonlinearity parameter $q$), the updating node
rewires; with complementary probability $1-\sigma^q$, the updating node adopts
a new opinion state. We study this mechanism using three rewiring schemes:
after an updating node deletes a discordant edge, it then either (1)
"rewires-to-random" by choosing a new neighbor in a random process; (2)
"rewires-to-same" by choosing a new neighbor in a random process from nodes
that share its state; or (3) "rewires-to-none" by not rewiring at all (akin to
"unfriending" on social media). We compare our nonlinear coevolving model to
several existing linear models, and we find in our model that initial network
topology plays a larger role in the dynamics and the choice of rewiring
mechanism plays a smaller role. A particularly interesting feature of our model
is that, under certain conditions, the opinion state that is held initially by
a minority of the nodes can effectively spread to almost every node in a
network if the minority nodes view themselves as the majority. In light of this
observation, we relate our results to recent work on the majority illusion in
social networks.

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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an