@InProceedings{david_et_al:OASIcs.AUTOMATA.2021.5, author = {David, Laurent and Defant, Colin and Joseph, Michael and Macauley, Matthew and McDonough, Alex}, title = {{Dynamical Algebraic Combinatorics, Asynchronous Cellular Automata, and Toggling Independent Sets}}, booktitle = {27th IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA 2021)}, pages = {5:1--5:16}, series = {Open Access Series in Informatics (OASIcs)}, ISBN = {978-3-95977-189-4}, ISSN = {2190-6807}, year = {2021}, volume = {90}, editor = {Castillo-Ramirez, Alonso and Guillon, Pierre and Perrot, K\'{e}vin}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.AUTOMATA.2021.5}, URN = {urn:nbn:de:0030-drops-140145}, doi = {10.4230/OASIcs.AUTOMATA.2021.5}, annote = {Keywords: Asynchronous cellular automata, Covering space, Coxeter element, Dynamical algebraic combinatorics, Group action, Homomesy, Independent set, Resonance, Toggling, Toric equivalence} }