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20132023
most citedAsymptotic Formulas for Macdonald Polynomials and the Boundary of the -Gelfand-Tsetlin Graph

15 citations · 29 across the 8 of their papers we have counts for

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Showing 2017 · math.RTShow all

3 papers · 2 filters

math.RT2017

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…

math.RT2017★ 15 cited

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…

math.RT2017

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…