24 citations · 78 across the 22 of their papers we have counts for
26 papers
Type multiline queues and the open-boundary TASEP
Olya Mandelshtam, Jerónimo Valencia-Porras
The totally asymmetric simple exclusion process (TASEP) with open boundaries is a finite Markov chain describing particles hopping between adjacent sites on a one-dimensional latti…
Shape changing identities for permuted-basement nonsymmetric Macdonald polynomials
Guilherme Zeus Dantas e Moura, Olya Mandelshtam
Permuted-basement Macdonald polynomials are nonsymmetric generalizations of symmetric Macdonald polynomials that form a basis for the polynomial ring $\math…
Bijections for rhombic alternative tableaux
Sylvie Corteel, Jang Soo Kim, Olya Mandelshtam +1
We generalize well-known bijections between alternative tableaux and permutations to bijections between rhombic alternative tableaux (RAT) and assemblées of permutations. We show h…
Positive expansions of permuted basement and quasisymmetric Macdonald polynomials at
Olya Mandelshtam, Harper Niergarth, Kartik Singh
It is well known that the -Whittaker polynomials, which are specializations of the Macdonald polynomials , expand positively as the sum of Schur polynomials. M…
New formulas for Macdonald polynomials via the multispecies exclusion and zero range processes
Olya Mandelshtam
We describe some recently discovered connections between one-dimensional interacting particle models and Macdonald polynomials. The first such model is the multispecies asymmetric…
Probabilistic Entry Swapping Bijections for Non-Attacking Fillings
Guilherme Zeus Dantas e Moura, Olya Mandelshtam
Non-attacking fillings are combinatorial objects central to the theory of Macdonald polynomials. A probabilistic bijection for partition-shaped non-attacking fillings was introduce…