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Largest bulk gap of the complex Ginibre ensemble
Philippe Moreillon
Let be the largest distance from an eigenvalue of an complex Ginibre matrix, with entries of variance , lying in a fixed bulk set compactly contained…
Precise large deviations in geometric last passage percolation
Sung-Soo Byun, Christophe Charlier, Philippe Moreillon +1
We study the last passage time in geometric last passage percolation (LPP). As the system size increases, we derive precise large deviation probabilities -- up to and including the…
Density of the free additive convolution of multi-cut measures
Philippe Moreillon
We consider the free additive convolution semigroup and determine the local behavior of the density of at the endpoints an…
The support of the free additive convolution of multi-cut measures
Philippe Moreillon, Kevin Schnelli
We consider the free additive convolution of two probability measures and , supported on respectively and disjoint bounded intervals on the…