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Critical Behaviors in Contagion Dynamics

Overview of attention for article published in Physical Review Letters, February 2017
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About this Attention Score

  • In the top 25% of all research outputs scored by Altmetric
  • Good Attention Score compared to outputs of the same age (72nd percentile)
  • Above-average Attention Score compared to outputs of the same age and source (60th percentile)

Mentioned by

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7 X users
wikipedia
1 Wikipedia page

Citations

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66 Dimensions

Readers on

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54 Mendeley
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Title
Critical Behaviors in Contagion Dynamics
Published in
Physical Review Letters, February 2017
DOI 10.1103/physrevlett.118.088301
Pubmed ID
Authors

L. Böttcher, J. Nagler, H. J. Herrmann

Abstract

We study the critical behavior of a general contagion model where nodes are either active (e.g., with opinion A, or functioning) or inactive (e.g., with opinion B, or damaged). The transitions between these two states are determined by (i) spontaneous transitions independent of the neighborhood, (ii) transitions induced by neighboring nodes, and (iii) spontaneous reverse transitions. The resulting dynamics is extremely rich including limit cycles and random phase switching. We derive a unifying mean-field theory. Specifically, we analytically show that the critical behavior of systems whose dynamics is governed by processes (i)-(iii) can only exhibit three distinct regimes: (a) uncorrelated spontaneous transition dynamics, (b) contact process dynamics, and (c) cusp catastrophes. This ends a long-standing debate on the universality classes of complex contagion dynamics in mean field and substantially deepens its mathematical understanding.

X Demographics

X Demographics

The data shown below were collected from the profiles of 7 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 54 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Netherlands 1 2%
Germany 1 2%
Austria 1 2%
Brazil 1 2%
Unknown 50 93%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 14 26%
Researcher 12 22%
Student > Master 5 9%
Professor > Associate Professor 3 6%
Student > Doctoral Student 3 6%
Other 6 11%
Unknown 11 20%
Readers by discipline Count As %
Physics and Astronomy 22 41%
Mathematics 4 7%
Social Sciences 4 7%
Computer Science 3 6%
Neuroscience 2 4%
Other 2 4%
Unknown 17 31%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 7. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 31 August 2023.
All research outputs
#5,052,146
of 24,359,979 outputs
Outputs from Physical Review Letters
#12,267
of 37,367 outputs
Outputs of similar age
#85,590
of 315,224 outputs
Outputs of similar age from Physical Review Letters
#217
of 556 outputs
Altmetric has tracked 24,359,979 research outputs across all sources so far. Compared to these this one has done well and is in the 79th percentile: it's in the top 25% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 37,367 research outputs from this source. They typically receive a lot more attention than average, with a mean Attention Score of 14.2. This one has gotten more attention than average, scoring higher than 67% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 315,224 tracked outputs that were published within six weeks on either side of this one in any source. This one has gotten more attention than average, scoring higher than 72% of its contemporaries.
We're also able to compare this research output to 556 others from the same source and published within six weeks on either side of this one. This one has gotten more attention than average, scoring higher than 60% of its contemporaries.