Jennifer A. Elder

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math.CO2023

Toggling, rowmotion, and homomesy on interval-closed sets

Jennifer Elder, Nadia Lafrenière, Erin McNicholas +2

Interval-closed sets of a poset are a natural superset of order ideals. We initiate the study of interval-closed sets of finite posets from enumerative and dynamical perspectives.…

math.CO2023

Parking functions, Fubini rankings, and Boolean intervals in the weak order of $S_{n}$

Jennifer Elder, Pamela E. Harris, Jan Kretschmann +1

Let $S_{n}$ denote the symmetric group and let $W (S_{n})$ denote the weak order of $S_{n}$ . Through a surprising connection to a subset of parking functi…

math.CO2023

Flattened Stirling Permutations

Adam Buck, Jennifer Elder, Azia A. Figueroa +3

Recall that a Stirling permutation is a permutation on the multiset ${1, 1, 2, 2, \dots, n, n}$ such that any numbers appearing between repeated values of $i$ must be greater than $i$ …

Toggling, rowmotion, and homomesy on interval-closed sets

Parking functions, Fubini rankings, and Boolean intervals in the weak order of Sn​

Flattened Stirling Permutations

Parking functions, Fubini rankings, and Boolean intervals in the weak order of $S_{n}$