Results 21 to 29 of about 491 (29)

Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics

open access: yes, 2007
The U_q(\hat{sl}_2) vertex model at q=0 with periodic boundary condition is an integrable cellular automaton in one-dimension. By the combinatorial Bethe ansatz, the initial value problem is solved for arbitrary states in terms of an ultradiscrete ...
A. Kuniba   +20 more
core   +3 more sources

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

open access: yesVeterinary 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

On the problem of Molluzzo for the modulus 4

open access: yes, 2012
We solve the currently smallest open case in the 1976 problem of Molluzzo on $\mathbb{Z}/m\mathbb{Z}$, namely the case $m=4$. This amounts to constructing, for all positive integer $n$ congruent to $0$ or $7 \bmod{8}$, a sequence of integers modulo $4 ...
Chappelon, Jonathan, Eliahou, Shalom
core   +3 more sources

Hook-content formulae for symplectic and orthogonal tableaux

open access: yes, 2016
By considering the specialisation $s_{\lambda}(1,q,q^2,...,q^{n-1})$ of the Schur function, Stanley was able to describe a formula for the number of semistandard Young tableaux of shape $\lambda$ in terms of two properties of the boxes in the diagram for
Anna Stokke   +4 more
core   +1 more source

Wreath determinants for group-subgroup pairs [PDF]

open access: yes, 2014
The aim of the present paper is to generalize the notion of the group determinants for finite groups. For a finite group $G$ of order $kn$ and its subgroup $H$ of order $n$, one may define an $n$ by $kn$ matrix $X=(x_{hg^{-1}})_{h\in H,g\in G}$, where ...
Hamamoto, Kei   +3 more
core  

Billey's formula in combinatorics, geometry, and topology [PDF]

open access: yes, 2013
In this expository paper we describe a powerful combinatorial formula and its implications in geometry, topology, and algebra. This formula first appeared in the appendix of a book by Andersen, Jantzen, and Soergel.
Tymoczko, Julianna S.
core   +2 more sources

Poincare series of subsets of affine Weyl groups

open access: yes, 2006
In this note, we identify a natural class of subsets of affine Weyl groups whose Poincare series are rational functions. This class includes the sets of minimal coset representatives of reflection subgroups.
Viswanath, Sankaran
core  

Interval pattern avoidance for arbitrary root systems

open access: yes, 2006
We extend the idea of interval pattern avoidance defined by Yong and the author for $S_n$ to arbitrary Weyl groups using the definition of pattern avoidance due to Billey and Braden, and Billey and Postnikov. We show that, as previously shown by Yong and
Woo, Alexander
core   +1 more source

Ore's theorem on subfactor planar algebras

open access: yes, 2019
This article proves that an irreducible subfactor planar algebra with a distributive biprojection lattice admits a minimal 2-box projection generating the identity biprojection.
Palcoux, Sebastien
core  

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