15 citations · 29 across the 8 of their papers we have counts for
14 papers
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…
Mackey-type identity for invariant functions on Lie algebras of finite unitary groups and an application
Cesar Cuenca, Grigori Olshanski
The Mackey-type identity mentioned in the title relates the operations of parabolic induction and restriction for invariant functions on the Lie algebras of the finite unitary grou…
Matrix addition and the Dunkl transform at high temperature
Florent Benaych-Georges, Cesar Cuenca, Vadim Gorin
We develop a framework for establishing the Law of Large Numbers for the eigenvalues in the random matrix ensembles as the size of the matrix goes to infinity simultaneously with t…
Infinite-dimensional groups over finite fields and Hall-Littlewood symmetric functions
Cesar Cuenca, Grigori Olshanski
The groups mentioned in the title are certain matrix groups of infinite size over a finite field . They are built from finite classical groups and at the same time the…
The Elliptic Tail Kernel
Cesar Cuenca, Vadim Gorin, Grigori Olshanski
We introduce and study a new family of -translation-invariant determinantal point processes on the two-sided -lattice. We prove that these processes are limits of the -$zw…
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…