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math.RA2025
Cyclic polytopes through the lens of iterated integrals
Felix Lotter, Rosa PreiÃ
The volume of a cyclic polytope can be obtained by forming an iterated integral along a suitable piecewise linear path running through its edges. Different choices of such a path a…
math.RA2024
An algebraic geometry of paths via the iterated-integrals signature
Rosa PreiÃ
Contrary to previous approaches bringing together algebraic geometry and signatures of paths, we introduce a Zariski topology on the space of paths itself, and study path varieties…