1 citations · 1 across the 4 of their papers we have counts for
6 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…
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…
Dirac walks on regular trees
Nicolas Delporte, Saswato Sen, Reiko Toriumi
The study of matter fields on an ensemble of random geometries is a difficult problem still in need of new methods and ideas. We will follow a point of view inspired by probability…