3 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…
hep-th2025
Renormalization group-like flows in randomly connected tensor networks
Naoki Sasakura
Randomly connected tensor networks (RCTN) are the dynamical systems defined by summing over all the possible networks of tensors. Because of the absence of fixed lattice structure,…