4 problems

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Steingrímsson–Williams joint distribution conjecture for permutation tableaux
Steingrímsson–Williams joint distribution conjecture. The joint distribution of tableaux according to the number of rows and the number of essential 1s equals the joint distributio…
Conjectureopenenumerative-combinatorics permutations permutation-tableauxarXiv posted 2 days ago
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Steingrímsson–Williams conjecture on essential 1s in permutation tableaux
Steingrímsson–Williams conjecture. The distribution of permutation tableaux according to the number of essential 1s is equal to the distribution of permutations according to the nu…
Conjectureopenenumerative-combinatorics permutations permutation-tableauxarXiv posted 2 days ago
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Joint distribution conjecture for permutation tableaux and permutation statistics
Joint distribution conjecture. The joint distribution of tableaux according to the number of rows and the number of essential 1's equals the joint distribution of permutations acco…
Conjectureopenenumerative-combinatorics permutation-patterns permutation-tableauxarXiv posted 2 days ago
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Equidistribution conjecture for permutation statistics in the PASEP
Let $\mathfrak M^{(n)}(q)$ and $\widetilde{\mathfrak M}^{(n)}(q)$ be the matrices whose entries are respectively the sums of $q^{{\rm tot}(\sigma)}$ over permutations with…
Conjectureopenpasep permutation-statistics permutation-tableauxarXiv posted 2 days ago

4 problems

Steingrímsson–Williams joint distribution conjecture for permutation tableaux

Steingrímsson–Williams conjecture on essential 1s in permutation tableaux

Joint distribution conjecture for permutation tableaux and permutation statistics

Equidistribution conjecture for permutation statistics in the PASEP