4 papers · 1 filter
Asymptotic resolvents of a product of two marginals of a random tensor
Stephane Dartois
Random tensors can be used to produce random matrices. This idea is, for instance, very natural when one studies random quantum states with the aim of exploring properties that are…
Schwinger-Dyson and loop equations for a product of square Ginibre random matrices
Stephane Dartois, Peter J. Forrester
In this paper, we study the product of two complex Ginibre matrices and the loop equations satisfied by their resolvents (i.e. the Stieltjes transform of the correlation functions)…
Melonic Turbulence
Stéphane Dartois, Oleg Evnin, Luca Lionni +2
We propose a new application of random tensor theory to studies of non-linear random flows in many variables. Our focus is on non-linear resonant systems which often emerge as weak…
Tensor Models: extending the matrix models structures and methods
Stephane Dartois
In this text we review a few structural properties of matrix models that should at least partly generalize to random tensor models. We review some aspects of the loop equations for…