4 papers
Rank-One HCIZ Integrals and Multiplicative Convolutions
Benoît Collins, Nicolas Delporte, Manasa Nagatsu +1
We study how spectral averaging interacts with the logarithm in large-dimensional rank-one Harish-Chandra--Itzykson--Zuber (HCIZ) integrals. For independent bi-unitarily invariant…
Critical Phenomena on the Bethe Lattice
Rudrajit Banerjee, Nicolas Delporte, Saswato Sen +1
We investigate the critical behavior of a family of -symmetric scalar field theories on the Bethe lattice (the tree limit of regular hyperbolic tessellations) using b…
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…