28 citations · 270 across the 43 of their papers we have counts for
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math.DG2023★ 1 cited
On the existence of Parseval frames for vector bundles
Samuel A. Ballas, Tom Needham, Clayton Shonkwiler
Frames in finite-dimensional vector spaces are spanning sets of vectors which provide redundant representations of signals. The Parseval frames are particularly useful and importan…
cond-mat.stat-mech2023★ 4 cited
A faster direct sampling algorithm for equilateral closed polygons and the probability of knotting
Jason Cantarella, Henrik Schumacher, Clayton Shonkwiler
We present a faster direct sampling algorithm for random equilateral closed polygons in three-dimensional space. This method improves on the moment polytope sampling algorithm of C…