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math.RA2024
Conjugation, loop and closure invariants of the iterated-integrals signature
Joscha Diehl, Rosa Preiß, Jeremy Reizenstein
Given a feature set for the shape of a closed loop, it is natural to ask which features in that set do not change when the starting point of the path is moved. For example, in two…
math.RA2020★ 5 cited
Areas of areas generate the shuffle algebra
Joscha Diehl, Terry Lyons, Rosa Preiß +1
We consider the anti-symmetrization of the half-shuffle on words, which we call the 'area' operator, since it corresponds to taking the signed area of elements of the iterated-inte…