We explain a curious coincidence between fixed points of certain cellular automata and of certain polynomial iterates, and show how this provides an analogue of the Prime Number Theorem (joint work with Jakub Byszewski).
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/asymptotic25