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  Universal gap scaling in percolation

Fan, J., Meng, J., Liu, Y., Ali Saberi, A., Kurths, J., Nagler, J. (2020): Universal gap scaling in percolation. - Nature Physics, 16, 4, 455-461.
https://doi.org/10.1038/s41567-019-0783-2

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Fan, Jingfang1, Author              
Meng, Jun1, Author              
Liu, Yang1, Author              
Ali Saberi, A.2, Author
Kurths, Jürgen1, Author              
Nagler, J.2, Author
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1Potsdam Institute for Climate Impact Research, ou_persistent13              
2External Organizations, ou_persistent22              

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 Abstract: Universality is a principle that fundamentally underlies many critical phenomena, ranging from epidemic spreading to the emergence or breakdown of global connectivity in networks. Percolation, the transition to global connectedness on gradual addition of links, may exhibit substantial gaps in the size of the largest connected network component. We uncover that the largest gap statistics is governed by extreme-value theory. This allows us to unify continuous and discontinuous percolation by virtue of universal critical scaling functions, obtained from normal and extreme-value statistics. Specifically, we show that the universal scaling function of the size of the largest gap is given by the extreme-value Gumbel distribution. This links extreme-value statistics to universality and criticality in percolation.

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 Dates: 2020
 Publication Status: Finally published
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1038/s41567-019-0783-2
PIKDOMAIN: RD1 - Earth System Analysis
PIKDOMAIN: RD4 - Complexity Science
eDoc: 8749
MDB-ID: No data to archive
Organisational keyword: RD1 - Earth System Analysis
Organisational keyword: RD4 - Complexity Science
Research topic keyword: Complex Networks
Model / method: Qualitative Methods
Working Group: Terrestrial Safe Operating Space
Working Group: Network- and machine-learning-based prediction of extreme events
 Degree: -

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Title: Nature Physics
Source Genre: Journal, SCI, Scopus, p3
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Pages: - Volume / Issue: 16 (4) Sequence Number: - Start / End Page: 455 - 461 Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/1603091
Publisher: Nature