3 papers
math.RT2026
Piecewise Symmetric Tensors
Felix Lotter, Rosa PreiÃ
Every square matrix is uniquely the sum of a symmetric matrix and a skew-symmetric matrix. We extend this familiar fact to higher order tensors: every cubic -tensor is uniquely…
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…