From Möbius inversion to renormalisation — mentioned by abelaer

Fri, 07 Feb 2025 08:13:58 GMT

That's right! This is secretly about doing calculus on posets. You can actually generalise some notions from incidence algebras to other settings, like groupoids and categories, where you can play the same games. This is something I mostly haven't looked at yet, but I think it might be fun, and some people seem to have found it useful (for example: https://arxiv.org/abs/1809.00941 and https://arxiv.org/abs/2501.06662)

Paper and discussion history. A mention is not an endorsement.

From Möbius inversion to renormalisation · HackerPapers discussions

From Möbius inversion to renormalisation — mentioned by abelaer