2 papers
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…
math.NT2023
Measuring the Space of Metaplectic Whittaker Functions
Ilani Axelrod-Freed, Claire Frechette, Veronica Lang
Whittaker functions are special functions that arise in -adic number theory and representation theory. They may be defined on representations of reductive groups as well as thei…