Results 21 to 30 of about 89 (79)
Forum of Mathematics, SigmaVertically symmetric alternating sign matrices (VSASMs) of order $2n+1$ are known to be equinumerous with lozenge tilings of a hexagon with side lengths $2n+2,2n,2n+2,2n,2n+2,2n$ and a central triangular hole of size $2$ that exhibit
Ilse Fischer, Hans Höngesberg
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On the Okounkov-Olshanski formula for standard tableaux of skew shapes [PDF]
, 2022 The classical hook length formula counts the number of standard tableaux of straight shapes. In 1996, Okounkov and Olshanski found a positive formula for the number of standard Young tableaux of a skew shape.
H. Morales, Alejandro H. +1 more
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Decompositions of packed words and self duality of Word Quasisymmetric Functions [PDF]
By Foissy's work, the bidendriform structure of the Word Quasisymmetric Functions Hopf algebra (WQSym) implies that it is isomorphic to its dual. However, the only known explicit isomorphism due to Vargas does not respect the bidendriform structure. This
Mlodecki, Hugo
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Piecewise-linear promotion and RSK in rectangles and moon polyominoes [PDF]
We study piecewise-linear and birational lifts of Schützenberger promotion, evacuation, and the RSK correspondence defined in terms of toggles. Using this perspective, we prove that certain chain statistics in rectangles shift predictably under the ...
Liu, Ricky Ini, Johnson, Joseph
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On modified degenerate Carlitz q-Bernoulli numbers and polynomials [PDF]
, 2017 In a recent study by Kim (Bull. Korean Math. Soc. 53(4):1149-1156, 2016 ) an attempt was made to examine some of the identities and properties that are related to the degenerate Carlitz q -Bernoulli numbers and polynomials.
Jeong Gon Lee +3 more
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The homogenized Linial arrangement and Genocchi numbers [PDF]
, 2022 We study the intersection lattice of a hyperplane arrangement recently introduced by Hetyei who showed that the number of regions of the arrangement is a median Genocchi number.
Wachs, Michelle L., +3 more
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, 2009 . We study the descent distribution over the set of centrosymmetric permutations that avoid a pattern of length 3. In the most puzzling case, namely, τ = 123 and n even, our main tool is a bijection that associates a Dyck pre x of length 2n to every ...
Marilena Barnabei +2 more
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Colored multiset Eulerian polynomials [PDF]
Colored multiset Eulerian polynomials are a common generalization of MacMahon's multiset Eulerian polynomials and the colored Eulerian polynomials, both of which are known to satisfy well-studied distributional properties including real-rootedness, log ...
Solus, Liam +2 more
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Monotone subsets in lattices and the Schensted shape of a Sós permutation [PDF]
, 2022 For a fixed irrational number \(\alpha\) and \(n\in \mathbb{N}\), we look at the shape of the sequence \((f(1),\ldots,f(n))\) after Schensted insertion, where \(f(i) = \alpha i \mod 1\).
Liechty, Karl, Petersen, T. Kyle
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Обобщение на спускащите се полиноми
, 2022 [Raychev Angel; Райчев Ангел]2020 Mathematics Subject Classification ...
Raychev, Angel
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