Self-decomposability and Lévy processes in free probability

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On quantum statistical inference (2003, background): “More detailed summaries of the mathematical connections indicated above are available in Biane (1998a,b) and Barndorff-Nielsen and Thorbjørnsen (2001). Furthermore, there are deep connections between the theory of random matrices and that of longest increasing subsequences, see for instance Deift (2”
Partition-dependent stochastic measures and $q$-deformed cumulants (2001, background): “For q = 0, 1, it is known [BNTr00] that the map (γ, σ) 7→ LH q (γ + m1(σ), 1 1+x2σ) can be extended to a weak homeomorphism between the weak closures of R×Mu and IDc(q).”