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Hi! I’m Antonin Callard and I’m a PhD student on symbolic dynamics and its connections to computability in Caen (France) under Pascal Vanier. If you want to learn more about me (or get my email address), you can visit this page. If you want to read my personal blog, you can go here. In any case, welcome!
✨ I am entering the last year of my PhD; thus, I am looking for postdoc positions beginning in September 2025: if you know of someone who knows of someone who maybe has the money to fund such positions in symbolic dynamics, computability, or information theory/complexity, I am definitely interested!
Agenda
Recent activities
This website recently got a terrific backend update: more details are available in the dedicated blog post!
On the science side of things, I’ve recently been working with Léo Paviet Salomon and Pascal Vanier on extender sets of multidimensional subshifts. In particular, we computationally characterized the possible values of extender entropies (i.e. the asymptotic growth of the extender set sequence) of sofic and effective $\Z^d$ subshifts. A draft is available on arXiv, and comments are much welcome!
Current research
Under the supervision of Pascal, I am currently considering soficity in multidimensional subshifts. Notably, I consider the following question: among effective subshifts, could we characterize sofic subshifts by considering the amount of information that crosses square patterns? I currently use techniques from communication complexity to prove the soficity of some relevant example subshifts; I also try to provide sufficient conditions for being sofic by using the fixpoint construction.