15 citations · 29 across the 8 of their papers we have counts for
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Interpolation Macdonald operators at infinity
Cesar Cuenca
We study the interpolation Macdonald functions, remarkable inhomogeneous generalizations of Macdonald functions, and a sequence of commuting operators that are d…
Pieri Integral Formula and Asymptotics of Jack Unitary Characters
Cesar Cuenca
We introduce Jack (unitary) characters and prove two kinds of formulas that are suitable for their asymptotics, as the lengths of the signatures that parametrize them go to infinit…
Asymptotic Formulas for Macdonald Polynomials and the Boundary of the -Gelfand-Tsetlin Graph
Cesar Cuenca
We introduce Macdonald characters and use algebraic properties of Macdonald polynomials to study them. As a result, we produce several formulas for Macdonald characters, which are…
BC Type Z-measures and Determinantal Point Processes
Cesar Cuenca
The (BC type) z-measures are a family of four parameter probability measures on the path space of the nonnegative Gelfand-Tsetlin graph with Jacobi-edge multiplicitie…