1 citations · 1 across the 2 of their papers we have counts for
7 papers · 1 filter
Peaks are preserved under run-sorting
Per Alexandersson, Olivia Nabawanda
We study a sorting procedure (run-sorting) on permutations, where runs are rearranged in lexicographic order. We describe a rather surprising bijection on permutations on length $n…
Symmetric polynomials in the symplectic alphabet and their expression via Dickson--Zhukovsky variables
Per Alexandersson, Luis Angel González-Serrano, Egor A. Maximenko +1
Given a symmetric polynomial in variables, there exists a unique symmetric polynomial in variables such that \[ P(x_1,\ldots,x_n,x_1^{-1},\ldots,x_n^{-1}) =Q(x_1+x…
The cyclic sieving phenomenon on circular Dyck paths
Per Alexandersson, Svante Linusson, Samu Potka
We give a -enumeration of circular Dyck paths, which is a superset of the classical Dyck paths enumerated by the Catalan numbers. These objects have recently been studied by Ale…
LLT polynomials, elementary symmetric functions and melting lollipops
Per Alexandersson
We conjecture an explicit positive combinatorial formula for the expansion of unicellular LLT polynomials in the elementary symmetric basis. This is an analogue of the Shareshian-W…
Enumeration of border-strip decompositions & Weil-Petersson volumes
Per Alexandersson, Linus Jordan
We describe an injection from border-strip decompositions of certain shapes to permutations. This allows us to provide enumeration results, as well as -analogues of enumeration…
On the Schur expansion of Jack polynomials
Per Alexandersson, James Haglund, George Wang
We present positivity conjectures for the Schur expansion of Jack symmetric functions in two bases given by binomial coefficients. Partial results suggest that there are rich combi…