• The $q$-Deformed Random-to-Random Family in the Hecke Algebra 

      [OWP-2025-12] Brauner, Sarah; Commins, Patricia; Grinberg, Darij; Saliola, Franco (Mathematisches Forschungsinstitut Oberwolfach, 2025-11)
      We generalize Reiner-Saliola-Welker's well-known but mysterious family of $k$-random-to-random shuffles from Markov chains on symmetric groups to Markov chains on the Type-$A$ Iwahori-Hecke algebras. We prove that the ...