Mathematics

We consider cellular automata on 1 dimensional lattices. These are dynamical systems where both the space and time coordinate, and also the configuration space are discrete. Recently there has been considerable activity devoted to the solvable cases, which show various signs of integrability. Despite the long history of the subject, it appears that new results were found in recent years, which motivates further studies. We will focus on cellular automata constructed from Yang-Baxter maps, and also on the so-called dual unitary circuits.