"Persistent Homology of Time-Delay Embeddings"

Persistent homology is a topological method for measuring the shapes of

spaces and features of functions. Perea will analyze the geometry and

topology of time-delay embeddings through the lens of persistent

homology. He will discuss maximum persistence as a measure of

periodicity at the signal level, present structural theorems for the resulting

diagrams, and derive estimates for their dependency on the window size

and embedding dimension.