The authors extend the fourth axiom of their structured random matrix ensembles to cumulants of disjoint cycles and argue that the class remains stable under non-linear transformations, with an unproved combinatorial claim.
James Mingo, Piotr´Sniady, and Roland Speicher
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Addition to "Structured random matrices and cyclic cumulants: A free probability approach"
The authors extend the fourth axiom of their structured random matrix ensembles to cumulants of disjoint cycles and argue that the class remains stable under non-linear transformations, with an unproved combinatorial claim.