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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

  • Above-average Attention Score compared to outputs of the same age (56th percentile)
  • Average Attention Score compared to outputs of the same age and source

Mentioned by

twitter
6 tweeters

Citations

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41 Dimensions

Readers on

mendeley
52 Mendeley
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.

Twitter Demographics

The data shown below were collected from the profiles of 6 tweeters who shared this research output. Click here to find out more about how the information was compiled.

Mendeley readers

The data shown below were compiled from readership statistics for 52 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 48 92%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 15 29%
Researcher 10 19%
Student > Master 6 12%
Professor > Associate Professor 3 6%
Student > Bachelor 2 4%
Other 8 15%
Unknown 8 15%
Readers by discipline Count As %
Physics and Astronomy 25 48%
Mathematics 4 8%
Social Sciences 4 8%
Computer Science 3 6%
Neuroscience 2 4%
Other 1 2%
Unknown 13 25%

Attention Score in Context

This research output has an Altmetric Attention Score of 3. 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 26 February 2017.
All research outputs
#9,925,444
of 18,244,804 outputs
Outputs from Physical Review Letters
#18,548
of 31,857 outputs
Outputs of similar age
#156,974
of 369,353 outputs
Outputs of similar age from Physical Review Letters
#277
of 571 outputs
Altmetric has tracked 18,244,804 research outputs across all sources so far. This one is in the 44th percentile – i.e., 44% of other outputs scored the same or lower than it.
So far Altmetric has tracked 31,857 research outputs from this source. They typically receive a lot more attention than average, with a mean Attention Score of 12.9. This one is in the 40th percentile – i.e., 40% of its peers scored the same or lower than it.
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 369,353 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 56% of its contemporaries.
We're also able to compare this research output to 571 others from the same source and published within six weeks on either side of this one. This one is in the 49th percentile – i.e., 49% of its contemporaries scored the same or lower than it.