Results 21 to 30 of about 2,673 (59)
Linking Clifford analysis and combinatorics through bijective methods [PDF]
, 2011 The application of Clifford Analysis methods in Combinatorics has some peculiarities due to the use of noncommutative algebras. But it seems natural to expect from here some new results different from those obtained by using approaches based on several ...
Falcão, M. I., Malonek, H. R.
core
On an Erdős similarity problem in the large
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1801-1818, June 2025.Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao +2 more
wiley +1 more source
Place-difference-value patterns: A generalization of generalized permutation and word patterns
, 2009 Motivated by study of Mahonian statistics, in 2000, Babson and Steingrimsson introduced the notion of a "generalized permutation pattern" (GP) which generalizes the concept of "classical" permutation pattern introduced by Knuth in 1969.
Kitaev, Sergey, Remmel, Jeffrey
core +3 more sources
On the isomorphism problem for monoids of product‐one sequences
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1482-1495, May 2025.Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley +1 more source
Feigin–Odesskii brackets associated with Kodaira cycles and positroid varieties
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We establish a link between open positroid varieties in the Grassmannians G(k,n)$G(k,n)$ and certain moduli spaces of complexes of vector bundles over Kodaira cycle Cn$C^n$, using the shifted Poisson structure on the latter moduli spaces and relating them to the standard Poisson structure on G(k,n)$G(k,n)$.
Zheng Hua, Alexander Polishchuk
wiley +1 more source
The minima of the geodesic length functions of uniform filling curves
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract There is a natural link between (multi‐)curves that fill up a closed oriented surface and dessins d'enfants. We use this approach to exhibit explicitly the minima of the geodesic length function of filling curves that admit a self‐transverse homotopy equivalent representative such that all self‐intersection points, as well as all faces of the ...
Ernesto Girondo +2 more
wiley +1 more source
On Quasi‐Hermitian Varieties in Even Characteristic and Related Orthogonal Arrays
Journal of Combinatorial Designs, Volume 33, Issue 3, Page 109-122, March 2025.ABSTRACT In this article, we study the BM quasi‐Hermitian varieties, laying in the three‐dimensional Desarguesian projective space of even order. After a brief investigation of their combinatorial properties, we first show that all of these varieties are projectively equivalent, exhibiting a behavior which is strikingly different from what happens in ...
Angela Aguglia +3 more
wiley +1 more source
Enumeration of Standard Young Tableaux [PDF]
, 2014 A survey paper, to appear as a chapter in a forthcoming Handbook on Enumeration.Comment: 65 pages, small ...
Adin, Ron M., Roichman, Yuval
core
The Shi variety corresponding to an affine Weyl group
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 913-940, March 2025.Abstract Let W$W$ be an irreducible Weyl group and Wa$W_a$ its affine Weyl group. In this article we show that there exists a bijection between Wa$W_a$ and the integral points of an affine variety, denoted X̂Wa$\widehat{X}_{W_a}$, which we call the Shi variety of Wa$W_a$.
Nathan Chapelier‐Laget
wiley +1 more source
Hurwitz numbers for reflection groups III: Uniform formulae
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We give uniform formulae for the number of full reflection factorizations of a parabolic quasi‐Coxeter element in a Weyl group or complex reflection group, generalizing the formula for the genus‐0 Hurwitz numbers. This paper is the culmination of a series of three.
Theo Douvropoulos +2 more
wiley +1 more source