@unpublished{RMC, author={C. Defant and R. Li and E. Nestoridi}, title={Rowmotion {M}arkov chains}, eprint={2212.14005} } @article{StrikerWilliams, Author={J. Striker and N. Williams}, Journal={European J. Combin.}, Number={}, Pages={1919--1942}, Title={Promotion and rowmotion}, Volume={33}, Year={2012}} @article{Ayyer, Author={A. Ayyer and S. Klee and A. Schilling}, Journal={J. Algebraic Combin.}, Number={}, Pages={853--881}, Title={Combinatorial Markov chains on linear extensions}, Volume={39}, Year={2014}} @article{Barnard, Author={E. Barnard}, Journal={Electron. J. Combin.}, Number={}, Pages={}, Title={The canonical join complex}, Volume={26}, Year={2019}} @unpublished{BarnardHanson, author={E. Barnard and E. J. Hanson}, title={Exceptional sequences in semidistributive lattices and the poset topology of wide subcategories}, eprint={2209.11734} } @unpublished{DJMM, author={C. Defant and M. Joseph and M. Macauley and A. McDonough}, title={Torsors and tilings from toric toggling}, eprint={2305.07627} } @unpublished{DefantLin, author={C. Defant and J. Lin}, title={Rowmotion on $m$-Tamari and biCambrian lattices}, eprint={2208.10464} } @article{Semidistrim, Author={C. Defant and N. Williams}, Journal={Forum Math. Sigma}, Number={}, Pages={}, Title={Semidistrim lattices}, Volume={11}, Year={2023}} @unpublished{Elder, author={J. Elder and N. Lafreni\`ere and E. McNicholas and J. Striker and A. Welch}, title={Toggling, rowmotion, and homomesy on interval-closed sets}, eprint={2307.08520} } @article{HopkinsCDE, Author={S. Hopkins}, Journal={J. Combin. Theory Ser. A}, Number={}, Pages={164--218}, Title={The {CDE} property for skew vexillary permutations}, Volume={168}, Year={2019}} @article{Joseph, Author={M. Joseph}, Journal={Electron. J. Combin.}, Number={}, Pages={}, Title={Antichain toggling and rowmotion}, Volume={26}, Year={2019}} @article{JosephRoby, Author={M. Joseph and T. Roby}, Journal={Electron. J. Combin.}, Number={}, Pages={}, Title={Toggling independent sets of a path graph}, Volume={25}, Year={2018}} @article{Poznanovic, Author={S. Poznanovi\'c and K. Stasikelis}, Journal={J. Algebraic Combin.}, Number={}, Pages={505--528}, Title={Properties of the promotion Markov chain on linear extensions}, Volume={47}, Year={2018}} @article{ReadingCambrian, Author={N. Reading}, Journal={Adv. Math.}, Number={}, Pages={313--353}, Title={Cambrian lattices}, Volume={205}, Year={2006}} @article{ReadingClusters, Author={N. Reading}, Journal={Trans. Amer. Math. Soc.}, Number={}, Pages={5931--5958}, Title={Clusters, {C}oxeter-sortable elements and noncrossing partitions}, Volume={359}, Year={2007}} @article{Rhodes, Author={J. Rhodes and A. Schilling}, Journal={Adv. Math.}, Number={}, Pages={739--779}, Title={Unified theory for finite Markov chains}, Volume={347}, Year={2019}} @article{Striker, Author={J. Striker}, Journal={Discrete Math. Theor. Comput. Sci.}, Number={}, Pages={}, Title={Rowmotion and generalized toggle groups}, Volume={20}, Year={2018}} @article{Thomas, Author={H. Thomas}, Journal={Order}, Number={}, Pages={249--269}, Title={An analogue of distributivity for ungraded lattices}, Volume={23}, Year={2006}} @article{ThomasWilliams, Author={H. Thomas and N. Williams}, Journal={Proc. Lond. Math. Soc.}, Number={}, Pages={1149--1178}, Title={Rowmotion in slow motion}, Volume={119}, Year={2019}}