20 citations · 184 across the 28 of their papers we have counts for
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math.CO2016★ 7 cited
Sorting via chip-firing
Sam Hopkins, Thomas McConville, James Propp
We investigate a variant of the chip-firing process on the infinite path graph: rather than treating the chips as indistinguishable, we label them with positive integers. To fire a…
math.CO2016★ 10 cited
The CDE property for minuscule lattices
Sam Hopkins
Reiner, Tenner, and Yong recently introduced the coincidental down-degree expectations (CDE) property for finite posets and showed that many nice posets are CDE. In this paper we f…
math.RA2016★ 6 cited
Quantum integer-valued polynomials
Nate Harman, Sam Hopkins
We define a -deformation of the classical ring of integer-valued polynomials which we call the ring of quantum integer-valued polynomials. We show that this ring has a remarkabl…