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math.CO2022
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…
math.CO2022★ 2 cited
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…
math-ph2022
The tensor Harish-Chandra--Itzykson--Zuber integral II: detecting entanglement in large quantum systems
Benoît Collins, Razvan Gurau, Luca Lionni
We consider the recently introduced generalization of the Harish-Chandra--Itzykson--Zuber integral to tensors and discuss its asymptotic behavior when the characteristic size N of…