115 citations · 286 across the 19 of their papers we have counts for
6 papers · 1 filter
From higher order free cumulants to non-separable hypermaps
Luca Lionni
Higher order free moments and cumulants, introduced by Collins, Mingo, Śniady and Speicher in 2006, describe the fluctuations of unitarily invariant random matrices in the limit of…
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…
The tensor Harish-Chandra-Itzykson-Zuber integral I: Weingarten calculus and a generalization of monotone Hurwitz numbers
Benoît Collins, Razvan Gurau, Luca Lionni
We study a generalization of the Harish-Chandra - Itzykson - Zuber integral to tensors and its expansion over trace-invariants of the two external tensors. This gives rise to natur…
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…
Counting gluings of octahedra
Valentin Bonzom, Luca Lionni
Three--dimensional colored triangulations are gluings of tetrahedra whose faces carry the colors 0, 1, 2, 3 and in which the attaching maps between tetrahedra are defined using the…
Colored triangulations of arbitrary dimensions are stuffed Walsh maps
Valentin Bonzom, Luca Lionni, Vincent Rivasseau
Regular edge-colored graphs encode colored triangulations of pseudo-manifolds. Here we study families of edge-colored graphs built from a finite but arbitrary set of building block…