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
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- Files:
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(Preview, Accepted manuscript, pdf, 1.7MB, Terms of use)
-
- Publisher copy:
- 10.1103/PhysRevE.98.012318
Authors
- Publisher:
- American Physical Society
- Journal:
- Physical Review E More from this journal
- Volume:
- 98
- Issue:
- 1
- Pages:
- 012318
- Publication date:
- 2018-07-31
- Acceptance date:
- 2018-07-03
- DOI:
- EISSN:
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1550-2376
- ISSN:
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1539-3755
- Pubs id:
-
pubs:864968
- UUID:
-
uuid:c5f7263b-42b3-4d9a-b436-30858409d91a
- Local pid:
-
pubs:864968
- Source identifiers:
-
864968
- Deposit date:
-
2018-07-06
Terms of use
- Copyright holder:
- American Physical Society
- Copyright date:
- 2018
- Notes:
- ©2018 American Physical Society. This is the accepted manuscript version of the article. The final version is available online from American Physical Society at: https://doi.org/10.1103/PhysRevE.98.012318
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