5 citations · 10 across the 3 of their papers we have counts for
4 papers
Fluctuations of eigenvalues of a polynomial on Haar unitary and finite rank matrices
Benoît Collins, Katsunori Fujie, Takahiro Hasebe +2
This paper calculates the fluctuations of eigenvalues of polynomials on large Haar unitaries cut by finite rank deterministic matrices. When the eigenvalues are all simple, we can…
Matrix models for cyclic monotone and monotone independences
Benoît Collins, Felix Leid, Noriyoshi Sakuma
Cyclic monotone independence is an algebraic notion of noncommutative independence, introduced in the study of multi-matrix random matrix models with small rank. Its algebraic form…
Functional relations for higher-order free cumulants
Gaëtan Borot, Séverin Charbonnier, Elba Garcia-Failde +2
We establish the functional relations between generating series of higher-order free cumulants and moments in higher-order free probability, solving an open problem posed fifteen y…
Triply mixed coverings of arbitrary base curves: Quasimodularity, quantum curves and a mysterious topological recursions
Marvin Anas Hahn, Jan-Willem M. van Ittersum, Felix Leid
Simple Hurwitz numbers enumerate branched morphisms between Riemann surfaces with fixed ramification data. In recent years, several variants of this notion for genus base curve…