Results 41 to 50 of about 158 (109)
Two-sided permutation statistics via symmetric functions
Forum of Mathematics, SigmaGiven a permutation statistic $\operatorname {\mathrm {st}}$ , define its inverse statistic $\operatorname {\mathrm {ist}}$ by . We give a general approach, based on the theory of symmetric functions, for finding the joint distribution of
Ira M. Gessel, Yan Zhuang
doaj +1 more source
Interval and $\ell$-interval Rational Parking Functions [PDF]
Discrete Mathematics & Theoretical Computer ScienceInterval parking functions are a generalization of parking functions in which cars have an interval preference for their parking. We generalize this definition to parking functions with $n$ cars and $m\geq n$ parking spots, which we call interval ...
Tomás Aguilar-Fraga +14 more
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On the number of pancake stacks requiring four flips to be sorted [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 Using existing classification results for the 7- and 8-cycles in the pancake graph, we determine the number of permutations that require 4 pancake flips (prefix reversals) to be sorted.
Saúl A. Blanco +2 more
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Subspace profiles over finite fields and q-Whittaker expansions of symmetric functions
Forum of Mathematics, SigmaBender, Coley, Robbins, and Rumsey posed the problem of counting the number of subspaces which have a given profile with respect to a linear endomorphism defined on a finite vector space.
Samrith Ram
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The expected number of inversions after n adjacent transpositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 We give a new expression for the expected number of inversions in the product of n random adjacent transpositions in the symmetric group S_{m+1}. We then derive from this expression the asymptotic behaviour of this number when n scales with m in various ...
Mireille Bousquet-Mélou
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Counting lattice paths by crossings and major index I: the corner-flipping bijections [PDF]
, 2022 We solve two problems regarding the enumeration of lattice paths in \(\mathbb{Z}^2\) with steps \((1,1)\) and \((1,-1)\) with respect to the major index, defined as the sum of the positions of the valleys, and to the number of certain crossings.
Elizalde, Sergi
core +1 more source
Intermediate symplectic characters and shifted plane partitions of shifted double staircase shape [PDF]
, 2021 We use intermediate symplectic characters to give a proof and variations of Hopkins' conjecture, now proved by Hopkins and Lai, on the number of shifted plane partitions of shifted double staircase shape with bounded entries.
Okada, Soichi
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Veterinary Dermatology, Volume 36, Issue 6, Page 814-824, December 2025.Background: Gabapentin reportedly decreases central sensitisation, a disorder associated with chronic pruritus in humans, although this is not well documented in cats. Its combined use with the standard antipruritic therapy for feline atopic skin syndrome (FASS) is not yet described.
Jeanne Morency +10 more
wiley +1 more source
, 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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Veterinary Dermatology, Volume 36, Issue 6, Page 825-837, December 2025.Background: Inhibition of the Janus kinase pathway is an established treatment for allergic dermatitis. Objective: To evaluate the efficacy and safety of ilunocitinib for control of pruritus in dogs with allergic dermatitis in a randomised, double‐masked clinical trial.
Sophie Forster +5 more
wiley +1 more source