2 papers
math.CO2025
The -deformed random-to-random family in the Hecke algebra
Sarah Brauner, Patricia Commins, Darij Grinberg +1
We generalize Reiner--Saliola--Welker's well-known but mysterious family of *-random-to-random shuffles* from Markov chains on symmetric groups to Markov chains on the Type-…
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…