Reversible D-Dimensional CA Over the Ring ZM and Some Applications in Ergodic Theory

This course covers the learning outcomes and goals of understanding reversible $d$-dimensional cellular automata (CA) over the ring $\mathbb{Z}_m$ and their applications in ergodic theory. Students will learn about the invertibility property of 1D linear CA generated by local rules, study ergodic properties of 1D infinite linear CA over $\mathbb{Z}_m$, and explore concepts such as entropy and topological entropy. The teaching method involves lectures and theoretical discussions. This course is intended for individuals interested in advanced topics in mathematics, specifically in the areas of cellular automata, ergodic theory, and entropy.