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…