2 papers
math.CO2024
Minimal Matchings for dP3 Cluster Variables
Judy Hsin-Hui Chiang, Gregg Musiker, Son Nguyen
In previous work [LM17], Tri Lai and the second author studied a family of subgraphs of the dP3 brane tiling, called Aztec castles, whose dimer partition functions provide combinat…
math.CO2024
Spectrum of random-to-random shuffling in the Hecke algebra
Ilani Axelrod-Freed, Sarah Brauner, Judy Hsin-Hui Chiang +2
We generalize random-to-random shuffling from a Markov chain on the symmetric group to one on the Type A Iwahori Hecke algebra, and show that its eigenvalues are polynomials in q w…