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math.RT2021
Asymptotic Behavior of Multiplicative Spherical Integrals and S-transform
Jonathan Husson
In this note, we study the asymptotics of a spherical integral that is a multiplicative counterpart to the well-known Harish-Chandra Itzykson Zuber integral. This counterpart can a…
math.PR2021
Asymptotics of k dimensional spherical integrals and applications
Alice Guionnet, Jonathan Husson
In this article, we prove that k-dimensional spherical integrals are asymptotically equivalent to the product of 1-dimensional spherical integrals. This allows us to generalize sev…