Results 31 to 40 of about 365 (70)

Two-sided permutation statistics via symmetric functions

Forum of Mathematics, Sigma
Given 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 Science
Interval 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, Jennifer Elder, Rebecca E. Garcia, Kimberly P. Hadaway, Pamela E. Harris, Kimberly J. Harry, Imhotep B. Hogan, Jakeyl Johnson, Jan Kretschmann, Kobe Lawson-Chavanu, J. Carlos Martínez Mori, Casandra D. Monroe, Daniel Quiñonez, Dirk Tolson III, Dwight Anderson Williams II   +14 more
doaj   +1 more source

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, Charles Buehrle, Akshay Patidar   +2 more
doaj   +1 more source

Subspace profiles over finite fields and q-Whittaker expansions of symmetric functions

Forum of Mathematics, Sigma
Bender, 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
doaj   +1 more source

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
doaj   +1 more source

On $t$-extensions of the Hankel determinants of certain automatic sequences

, 2014
In 1998, Allouche, Peyri\`ere, Wen and Wen considered the Thue--Morse sequence, and proved that all the Hankel determinants of the period-doubling sequence are odd integral numbers.
Fu, Hao, Han, Guo-Niu
core   +1 more source

Effect of Gabapentin Administered With Prednisolone, Ciclosporin or a Placebo on Clinical Outcomes and Motor Activity in Cats With Atopic Skin Syndrome: A Prospective, Blinded, Placebo‐Controlled Study

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, Éric Troncy, Aliénor Delsart, Colombe Otis, Jérôme R. E. Del Castillo, Andrea Gonzales, Jason Ross, Maxim Moreau, Jean‐Pierre Pelletier, Johanne Martel‐Pelletier, Frédéric Sauvé   +10 more
wiley   +1 more source

Efficacy and Field Safety of Ilunocitinib for the Control of Allergic Dermatitis in Client‐Owned Dogs: A Multicenter, Double‐Masked, Randomised, Placebo‐Controlled Clinical Trial

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, Candace M. Trout, Simona Despa, Annette Boegel, Darren Berger, Stephen King   +5 more
wiley   +1 more source

Alternating sign matrices with reflective symmetry and plane partitions: $n+3$ pairs of equivalent statistics and a Cauchy-type identity

Forum of Mathematics, Sigma
Vertically 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
doaj   +1 more source

Two Vignettes On Full Rook Placements [PDF]

, 2013
Using bijections between pattern-avoiding permutations and certain full rook placements on Ferrers boards, we give short proofs of two enumerative results.
Bloom, Jonathan, Vatter, Vince
core