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Temporal profiles of avalanches on networks.

Publication ,  Journal Article
Gleeson, JP; Durrett, R
Published in: Nature communications
October 2017

An avalanche or cascade occurs when one event causes one or more subsequent events, which in turn may cause further events in a chain reaction. Avalanching dynamics are studied in many disciplines, with a recent focus on average avalanche shapes, i.e., the temporal profiles of avalanches of fixed duration. At the critical point of the dynamics, the rescaled average avalanche shapes for different durations collapse onto a single universal curve. We apply Markov branching process theory to derive an equation governing the average avalanche shape for cascade dynamics on networks. Analysis of the equation at criticality demonstrates that nonsymmetric average avalanche shapes (as observed in some experiments) occur for certain combinations of dynamics and network topology. We give examples using numerical simulations of models for information spreading, neural dynamics, and behavior adoption and we propose simple experimental tests to quantify whether cascading systems are in the critical state.

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Published In

Nature communications

DOI

EISSN

2041-1723

ISSN

2041-1723

Publication Date

October 2017

Volume

8

Issue

1

Start / End Page

1227
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Gleeson, J. P., & Durrett, R. (2017). Temporal profiles of avalanches on networks. Nature Communications, 8(1), 1227. https://doi.org/10.1038/s41467-017-01212-0
Gleeson, James P., and Rick Durrett. “Temporal profiles of avalanches on networks.Nature Communications 8, no. 1 (October 2017): 1227. https://doi.org/10.1038/s41467-017-01212-0.
Gleeson JP, Durrett R. Temporal profiles of avalanches on networks. Nature communications. 2017 Oct;8(1):1227.
Gleeson, James P., and Rick Durrett. “Temporal profiles of avalanches on networks.Nature Communications, vol. 8, no. 1, Oct. 2017, p. 1227. Epmc, doi:10.1038/s41467-017-01212-0.
Gleeson JP, Durrett R. Temporal profiles of avalanches on networks. Nature communications. 2017 Oct;8(1):1227.

Published In

Nature communications

DOI

EISSN

2041-1723

ISSN

2041-1723

Publication Date

October 2017

Volume

8

Issue

1

Start / End Page

1227