Order Independence in Asynchronous Cellular Automata. - Matthew Macauley; Jon McCammond; Henning S. Mortveit (J. Cell. Autom., 2008)

Limit Set Reachability in Asynchronous Graph Dynamical Systems. - V. S. Anil Kumar 001; Matthew Macauley; Henning S. Mortveit (RP, 2009)

Coxeter Groups and Asynchronous Cellular Automata. - Matthew Macauley; Henning S. Mortveit (ACRI, 2010)

Posets from Admissible Coxeter Sequences. - Matthew Macauley; Henning S. Mortveit (Electron. J. Comb., 2011)

Dangerous Reference Graphs and Semantic Paradoxes. - Landon Rabern; Brian Rabern; Matthew Macauley (J. Philos. Log., 2013)

An atlas of limit set dynamics for asynchronous elementary cellular automata. - Matthew Macauley; Henning S. Mortveit (Theor. Comput. Sci., 2013)

Cycle Equivalence of Finite Dynamical Systems Containing Symmetries. - Matthew Macauley; Henning S. Mortveit (Automata, 2014)

Stratification and enumeration of Boolean functions by canalizing depth. - Qijun He; Matthew Macauley (CoRR, 2015)

Sandpiles, Spanning Trees, and Plane Duality. - Melody Chan; Darren B. Glass; Matthew Macauley; David Perkinson; Caryn Werner; Qiaoyu Yang (SIAM J. Discret. Math., 2015)

Noncrossing Partitions, Toggles, and Homomesies. - David M. Einstein; Miriam Farber; Emily Gunawan; Michael Joseph; Matthew Macauley; James Propp; Simon Rubinstein-Salzedo (Electron. J. Comb., 2016)

Monostability and Bistability of Boolean Networks Using Semitensor Products. - Shuqi Chen; Yuhu Wu; Matthew Macauley; Xi-Ming Sun (IEEE Trans. Control. Netw. Syst., 2019)

Dynamical Algebraic Combinatorics, Asynchronous Cellular Automata, and Toggling Independent Sets. - Laurent David; Colin Defant; Michael Joseph; Matthew Macauley; Alex McDonough (AUTOMATA, 2021)

Dihedralizing the Quaternions. - Matthew Macauley (Am. Math. Mon., 2024)