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04/03/2022
Brillouin Zones of Integer Lattices and Their Perturbations
The k-th Brillouin zone of a point in a locally finite set in ℝ^d is the...
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04/03/2022
On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane
For a locally finite set in ℝ^2, the order-k Brillouin tessellations for...
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11/10/2021
The Impact of Changes in Resolution on the Persistent Homology of Images
Digital images enable quantitative analysis of material properties at mi...
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04/22/2021
The Density Fingerprint of a Periodic Point Set
Modeling a crystal as a periodic point set, we present a fingerprint con...
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05/10/2020
Duality in Persistent Homology of Images
We derive the relationship between the persistent homology barcodes of t...
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05/04/2017