135 citations · 325 across the 14 of their papers we have counts for
15 papers
Combinatorics and loop equations for antisymmetrised and Hermitised matrix product ensembles
Stephane Dartois, Anas. A Rahman
The order antisymmetrised matrix product ensemble is represented by the product , where are independent real Ginibre matrices…
The -circular limit of random tensor flattenings
Stéphane Dartois, Camille Male, Ion Nechita
The tensor flattenings appear naturally in quantum information when one produces a density matrix by partially tracing the degrees of freedom of a pure quantum state. In this paper…
Entanglement criteria for the bosonic and fermionic induced ensembles
Stephane Dartois, Ion Nechita, Adrian Tanasa
We introduce the bosonic and fermionic ensembles of density matrices and study their entanglement. In the fermionic case, we show that random bipartite fermionic density matrices h…
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…
On the joint distribution of the marginals of multipartite random quantum states
Stephane Dartois, Luca Lionni, Ion Nechita
We study the joint distribution of the set of all marginals of a random Wishart matrix acting on a tensor product Hilbert space. We compute the limiting free mixed cumulants of the…
Conformality of corrections in SYK-like models
Stéphane Dartois, Harold Erbin, Swapnamay Mondal
The Sachdev--Ye--Kitaev is a quantum mechanical model of Majorana fermions which displays a number of appealing features -- solvability in the strong coupling regime, near-conf…
Topology in colored tensor models via crystallization theory
Maria Rita Casali, Paola Cristofori, Stephane Dartois +1
The aim of this paper is twofold. On the one hand, it provides a review of the links between random tensor models, seen as quantum gravity theories, and the PL-manifolds representa…
Blobbed topological recursion for the quartic melonic tensor model
Valentin Bonzom, Stephane Dartois
Random tensor models are generalizations of random matrix models which admit expansions. In this article we show that the topological recursion, a modern approach to matrix m…
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…
An analysis of the intermediate field theory of tensor model
Viet Anh Nguyen, Stephane Dartois, Bertrand Eynard
In this paper we analyze the multi-matrix model arising from the intermediate field representation of the tensor model with all quartic melonic interactions. We derive the saddle p…
A Givental-like Formula and Bilinear Identities for Tensor Models
Stephane Dartois
In this paper we express some simple random tensor models in a Givental-like fashion i.e. as differential operators acting on a product of generic 1-Hermitian matrix models. Finall…
Double Scaling in Tensor Models with a Quartic Interaction
Stephane Dartois, Razvan Gurau, Vincent Rivasseau
In this paper we identify and analyze in detail the subleading contributions in the 1/N expansion of random tensors, in the simple case of a quartically interacting model. The lead…
The 1/N expansion of multi-orientable random tensor models
S. Dartois, V. Rivasseau, A. Tanasa
Multi-orientable group field theory (GFT) has been introduced in A. Tanasa, J. Phys. A 45 (2012) 165401, arXiv:1109.0694, as a quantum field theoretical simplification of GFT, whic…