3 papers
math.CO2026
Hall-Littlewood-positive harmonic functionals on the algebra of symmetric functions
Cesar Cuenca, Grigori Olshanski
We study the problem of describing the set of real functionals on the quotient of the ring of symmetric functions that are nonnegative on the images of certa…
math.RT2025
Limits of group algebras for growing symmetric groups and wreath products
Irina Devyatkova, Grigori Olshanski
Let denote the infinite symmetric group formed by the finitary permutations of the set of natural numbers; this is a countable group. We introduce its virtual group alg…
math.PR2025
Infinite-dimensional -Jacobi Markov processes
Grigori Olshanski
The classical Jacobi polynomials on the interval are eigenfunctions of a second order differential operator. It is well known that this operator generates a diffusion proc…