That sounds super interesting! I know that there's a lot of work by Perea and Harer about topological time series analysis out there. Most of it is based on sli

That sounds super interesting! I know that there's a lot of work by Perea and Harer about topological time series analysis out there. Most of it is based on sliding windows to my understanding. I would say that the total persistence is a quantifier of the topological complexity of an object (at least when being evaluated in relation to something else; obviously, we can make it as a large as we want by just scaling our weights accordingly)... Let's discuss this further offline if you want! Drop me an e-mail and I can rope you into my current research on this topic.