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math.PR2023
Tilted biorthogonal ensembles, Grothendieck random partitions, and determinantal tests
Svetlana Gavrilova, Leonid Petrov
We study probability measures on partitions based on symmetric Grothendieck polynomials. These deformations of Schur polynomials introduced in the K-theory of Grassmannians share m…
math.PR2023
Asymptotics of noncolliding q-exchangeable random walks
Leonid Petrov, Mikhail Tikhonov
We consider a process of noncolliding -exchangeable random walks on making steps (straight) and (down). A single random walk is called -exchangeable if…