%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nick Beaton at 2016-09-24 13:54:23 -0600 %% Saved with string encoding Unicode (UTF-8) @misc{BraunerComminsReiner, AUTHOR = {Brauner, S. and Commins, P. and Reiner, V.}, EPRINT = {2206.11406}, EPRINTTYPE = {arxiv}, TITLE = {Invariant theory for the free left-regular band and a $q $-analogue}, YEAR = {2022}} @article {BrownOnLRBs, AUTHOR = {Brown, K. S.}, TITLE = {Semigroups, rings, and {M}arkov chains}, JOURNAL = {Journal of Theoretical Probability}, VOLUME = {13}, YEAR = {2000}, NUMBER = {3}, PAGES = {871--938}, DOI = {10.1023/A:1007822931408} } @article{gesselreutenauer, author = {Gessel, I. and Reutenauer, C.}, title={ Counting Permutations with Given Cycle Structure and Descent Set}, journal={Journal of Combinatorial Theory, Series A}, volume={64}, pages={189-215}, year={1993}} @article{Garsia, author ={Garsia, A. M.}, title={On the powers of top to random shuffling. 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