28 citations · 270 across the 43 of their papers we have counts for
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math.FA2022★ 1 cited
Fusion Frame Homotopy and Tightening Fusion Frames by Gradient Descent
Tom Needham, Clayton Shonkwiler
Finite frames, or spanning sets for finite-dimensional Hilbert spaces, are a ubiquitous tool in signal processing. There has been much recent work on understanding the global struc…
math.GT2022★ 1 cited
New Superbridge Index Calculations from Non-Minimal Realizations
Clayton Shonkwiler
Previous work used polygonal realizations of knots to reduce the problem of computing the superbridge number of a realization to a linear programming problem, leading to new sharp…
cond-mat.stat-mech2022★ 1 cited
Random graph embeddings with general edge potentials
Jason Cantarella, Tetsuo Deguchi, Clayton Shonkwiler +1
In this paper, we study random embeddings of polymer networks distributed according to any potential energy which can be expressed in terms of distances between pairs of monomers.…