Journal article icon

Journal article

Topological data analysis of continuum percolation with disks

Abstract:
We study continuum percolation with disks, a variant of continuum percolation in twodimensional Euclidean space, by applying tools from topological data analysis. We interpret each realization of continuum percolation with disks as a topological subspace of [0, 1]2 and investigate its topological features across many realizations. We apply persistent homology to investigate topological changes as we vary the number and radius of disks. We observe evidence that the longest persisting invariant is born at or near the percolation transition.
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Files:
Publisher copy:
10.1103/PhysRevE.98.012318

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Statistics
Oxford college:
Mansfield College
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Wadham College
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review E Journal website
Volume:
98
Issue:
1
Pages:
012318
Publication date:
2018-07-31
Acceptance date:
2018-07-03
DOI:
EISSN:
1550-2376
ISSN:
1539-3755
Source identifiers:
864968
Pubs id:
pubs:864968
UUID:
uuid:c5f7263b-42b3-4d9a-b436-30858409d91a
Local pid:
pubs:864968
Deposit date:
2018-07-06

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP