2 citations · 2 across the 1 of their papers we have counts for
6 papers
A family of triangulated 3-spheres constructed from trees
Timothy Budd, Luca Lionni
The search for universality in random triangulations of manifolds, like those featuring in (Euclidean) Dynamical Triangulations, is central to the random geometry approach to quant…
Iterated foldings of discrete spaces and their limits: candidates for the role of Brownian map in higher dimensions
Luca Lionni, Jean-François Marckert
In this last decade, an important stochastic model emerged: the Brownian map. It is the limit of various models of random combinatorial maps after rescaling: it is a random metric…
A random matrix model with non-pairwise contracted indices
Luca Lionni, Naoki Sasakura
We consider a random matrix model with both pairwise and non-pairwise contracted indices. The partition function of the matrix model is similar to that appearing in some replicated…
Combinatorial study of graphs arising from the Sachdev-Ye-Kitaev model
Éric Fusy, Luca Lionni, Adrian Tanasa
We consider the graphs involved in the theoretical physics model known as the colored Sachdev-Ye-Kitaev (SYK) model. We study in detail their combinatorial properties at any order…
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…