5 papers
Joint distributions of eigenvectors of symmetric random tensors
Naoki Sasakura
We compute the joint distributions of arbitrary numbers of eigenvectors of real and complex symmetric random tensors by the quantum field theoretical methods which were previously…
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…
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…
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,…
The Edge of Random Tensor Eigenvalues with Deviation
Nicolas Delporte, Naoki Sasakura
The largest eigenvalue of random tensors is an important feature of systems involving disorder, equivalent to the ground state energy of glassy systems or to the injective norm of…