68 citations · 1.4k across the 81 of their papers we have counts for
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math.DG2012★ 28 cited
Probability Theory of Random Polygons from the Quaternionic Viewpoint
Jason Cantarella, Tetsuo Deguchi, Clayton Shonkwiler
We build a new probability measure on closed space and plane polygons. The key construction is a map, given by Knutson and Hausmann using the Hopf map on quaternions, from the comp…
cond-mat.quant-gas2012★ 6 cited
Quantum dark solitons in the 1D Bose gas and the superfluid velocity
Jun Sato, Rina Kanamoto, Eriko Kaminishi +1
We give explicit connections of quantum one-hole excited states to classical solitons for the one-dimensional Bose gas with repulsive short-range interactions. We call the quantum…