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math.PR2023
Universality of global asymptotics of Jack-deformed random Young diagrams at varying temperatures
Cesar Cuenca, Maciej Dołęga, Alexander Moll
This paper establishes universal formulas describing the global asymptotics of two distinct discrete versions of -ensembles in the high, low and fixed temperature regimes. Our r…
math.PR2018
Universal behavior of the corners of Orbital Beta Processes
Cesar Cuenca
There is a unique unitarily-invariant ensemble of Hermitian matrices with a fixed set of real eigenvalues . The joint eigenvalue distribution of the…
math.PR2016
Markov Processes on the Duals to Infinite-Dimensional Classical Lie Groups
Cesar Cuenca
We construct a four parameter (z, z', a, b) family of Markov dynamics that preserve the z-measures on the boundary of the branching graph for classical Lie groups of type B, C, D.…