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math.AG2024
Signature matrices of membranes
Felix Lotter, Leonard Schmitz
The signature of a membrane is a sequence of tensors whose entries are iterated integrals. We study algebraic properties of membrane signatures, with a focus on signature matrices…
math.RA2024
Free generators and Hoffman's isomorphism for the two-parameter shuffle algebra
Leonard Schmitz, Nikolas Tapia
Signature transforms have recently been extended to data indexed by two and more parameters. With free Lyndon generators, ideas from -algebras and a novel two-pa…