2 papers
math.AG2024
Rank and symmetries of signature tensors
Francesco Galuppi, Pierpaola Santarsiero
The signature of a path is a sequence of tensors which allows to uniquely reconstruct the path. In this paper we propose a systematic study of basic properties of signature tensors…
math.AG2023
Characteristic polynomials and eigenvalues of tensors
Francesco Galuppi, Fulvio Gesmundo, Ettore Teixeira Turatti +1
We lay the geometric foundations for the study of the characteristic polynomial of tensors. For symmetric tensors of order and dimension and symmetric tensors of ord…