4 papers
On equidistribution theorem for plane partitions
Alimzhan Amanov, Damir Yeliussizov
We prove equidistribution of two pairs of statistics on boxed plane partitions: (volume, trace) and (corner-hook volume, number of corners). The proof relies on different 3d visual…
Inhomogeneous -Whittaker polynomials II: ring theorem and positive specializations
Ajeeth Gunna, Damir Yeliussizov
We study inhomogeneous -Whittaker polynomials which extend both -Whittaker and stable Grothendieck polynomials. We prove that inhomogeneous -Whittaker polynomials (in coun…
Highest weight vectors of tensors
Alimzhan Amanov, Damir Yeliussizov
We study highest weight vectors for symmetric and alternating spaces of tensors, whose dimensions are given by generalized Kronecker coefficients. We describe the algebraic relatio…
Grothendieck Shenanigans: Permutons from pipe dreams via integrable probability
Alejandro H. Morales, Greta Panova, Leonid Petrov +1
We study random permutations arising from reduced pipe dreams. Our main model is motivated by Grothendieck polynomials with parameter arising in K-theory of the flag variety…