| 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
The data shown below were collected from the profiles of 6 X users who shared this research output. Click here to find out more about how the information was compiled.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Finland | 1 | 17% |
| United States | 1 | 17% |
| United Kingdom | 1 | 17% |
| Netherlands | 1 | 17% |
| Unknown | 2 | 33% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Scientists | 5 | 83% |
| Members of the public | 1 | 17% |
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
This research output has an Altmetric Attention Score of 6. 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
#6,385,864
of 25,713,737 outputs
Outputs from Physical Review Letters
#13,772
of 40,460 outputs
Outputs of similar age
#94,837
of 325,315 outputs
Outputs of similar age from Physical Review Letters
#224
of 556 outputs
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