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math.PR2024
-shaped random matrices, -plane trees, and -Dyck paths
Elia Bisi, Fabio Deelan Cunden
We consider random matrices whose shape is the dilation of a self-conjugate Young diagram . In the large- limit, the empirical distribution of the squared singular value…
math.PR2019
Conditional measures for Pfaffian point processes: conditioning on a bounded domain
Alexander I. Bufetov, Fabio Deelan Cunden, Yanqi Qiu
For a Pfaffian point process we show that its Palm measures, its normalised compositions with multiplicative functionals, and its conditional measures with respect to fixing the co…
math.PR2019
Moments of discrete orthogonal polynomial ensembles
Philip Cohen, Fabio Deelan Cunden, Neil O'Connell
We obtain factorial moment identities for the Charlier, Meixner and Krawtchouk orthogonal polynomial ensembles. Building on earlier results by Ledoux [Elect. J. Probab. 10, (2005)]…