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Displacement of transport processes on networked topologies

Abstract:

Consider a particle whose position evolves along the edges of a network. One definition for the displacement of a particle is the length of the shortest path on the network between the current and initial positions of the particle. Such a definition fails to incorporate information of the actual path the particle traversed. In this work we consider another definition for the displacement of a particle on networked topologies. Using this definition, which we term the winding distance, we demon...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1137/19M1244251

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Hugh's College
Role:
Author
ORCID:
0000-0002-6304-9333
Publisher:
Society for Industrial and Applied Mathematics
Journal:
SIAM Journal on Applied Mathematics More from this journal
Volume:
79
Issue:
5
Pages:
1892-1915
Publication date:
2019-10-03
Acceptance date:
2019-06-27
DOI:
ISSN:
0036-1399
Keywords:
Pubs id:
pubs:1067158
UUID:
uuid:f81d9e66-e184-45df-9c80-0bf446fb9f8a
Local pid:
pubs:1067158
Source identifiers:
1067158
Deposit date:
2019-11-25

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