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Entrograms and coarse graining of dynamics on complex networks

Abstract:

Using an information theoretic point of view, we investigate how a dynamics acting on a network can be coarse grained through the use of graph partitions. Specifically, we are interested in how aggregating the state space of a Markov process according to a partition impacts on the thus obtained lower-dimensional dynamics. We highlight that for a dynamics on a particular graph there may be multiple coarse grained descriptions that capture different, incomparable features of the original proces...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1093/comnet/cnx055

Authors


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Institution:
University of Oxford
Division:
MPLS Division
Department:
Engineering Science
ORCID:
0000-0003-2426-6404
Delvenne, JC More by this author
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Funding agency for:
Faccin, M
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Funding agency for:
Schaub, MT
Publisher:
Oxford University Press Publisher's website
Journal:
Journal of Complex Networks Journal website
Volume:
6
Issue:
5
Pages:
661–678
Publication date:
2017-11-02
Acceptance date:
2017-10-17
DOI:
EISSN:
2051-1329
ISSN:
2051-1310
Pubs id:
pubs:866477
URN:
uri:bd18540f-1749-41dd-babb-eb8642da9ad0
UUID:
uuid:bd18540f-1749-41dd-babb-eb8642da9ad0
Local pid:
pubs:866477

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