2 papers
hep-th2025
Real eigenvalue/vector distributions of random real antisymmetric tensors
Nicolas Delporte, Giacomo La Scala, Naoki Sasakura +1
Real eigenpairs of a real antisymmetric tensor of order and dimension can be defined as pairs of a real eigenvalue and orthonormal -dimensional real eigenvectors. We…
math-ph2025
Characteristic polynomials of tensors via Grassmann integrals and distributions of roots for random Gaussian tensors
Nicolas Delporte, Giacomo La Scala, Naoki Sasakura +1
We propose a new definition of characteristic polynomials of tensors based on a partition function of Grassmann variables. This new notion of characteristic polynomial addresses ge…