3 papers
math.RT2018
q-deformed Character Theory for Infinite-Dimensional Symplectic and Orthogonal Groups
Cesar Cuenca, Vadim Gorin
The classification of irreducible, spherical characters of the infinite-dimensional unitary/orthogonal/symplectic groups can be obtained by finding all possible limits of normalize…
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-ph2017
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…