13 citations · 14 across the 4 of their papers we have counts for
10 papers
Saturation of Rota's basis conjecture
Damir Yeliussizov
We prove an asymptotic saturation-type version of Rota's basis conjecture. It relies on the connection of Tao's slice rank with unstable tensors from geometric invariant theory.
Tensor slice rank and Cayley's first hyperdeterminant
Alimzhan Amanov, Damir Yeliussizov
Cayley's first hyperdeterminant is a straightforward generalization of determinants for tensors. We prove that nonzero hyperdeterminants imply lower bounds on some types of tensor…
MacMahon's statistics on higher-dimensional partitions
Alimzhan Amanov, Damir Yeliussizov
We study some combinatorial properties of higher-dimensional partitions which generalize plane partitions. We present a natural bijection between -dimensional partitions and …
Dual Grothendieck polynomials via last-passage percolation
Damir Yeliussizov
The ring of symmetric functions has a basis of dual Grothendieck polynomials that are inhomogeneous -theoretic deformations of Schur polynomials. We prove that dual Grothendieck…
Enumeration of plane partitions by descents
Damir Yeliussizov
We study certain bijection between plane partitions and -matrices. As applications, we prove a Cauchy-type identity for generalized dual Grothendieck polynomials. We in…
Random plane partitions and corner distributions
Damir Yeliussizov
We explore some probabilistic applications arising in connections with -theoretic symmetric functions. For instance, we determine certain corner distributions of random lozenge…