Is cellular automata something that is studied in mathematics departments?

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I am interested in studying cellular automata but am unsure if I should be looking at CS or mathematics graduate departments. Symbolic dynamics seems to have some tie to cellular automata but I haven't really found anything else really specific. There was maybe one Harvard faculty member that listed cellular automata as an interest as well. Any related fields or specific schools/researchers would be a great help as well.

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Symbolic dynamics has cellular automata as a subfield, so anybody working in symbolic dynamics is a candidate for also having interest in CAs. In the US/Canada I would try: Mike Boyle in Maryland Natasha Jonoska in Florida Maurice Margenstern Brian Marcus in UBC, Vancouver Marcus Pivato in Peterborough

In Europe many people work on CAs as well: Jarrko Kari in Turku, Finland Tullio Ceccherini-Silberstein in Rome Jean Mairesse, Guillaume Theyssier, Nicolas Ollinger, Enrico Formenti all in France, also people in Marseille and other universities in France

In Southamerica: Alejandro Maass, Michael Schraudner and Eric Goles in Santiago de Chile

Also people in China and Asia (but I am not very familiar with their work).

For sure I forgot several people, but at least you get an idea...

A good place to find names of people interested in CAs is to take a book on CAs and look at its references or to search for related papers on arxiv or mathscinet.