Results 121 to 130 of about 8,688 (230)
A crystal to rigged configuration bijection for nonexceptional affine algebras
, 2002 Kerov, Kirillov, and Reshetikhin defined a bijection between highest weight vectors in the crystal graph of a tensor power of the vector representation, and combinatorial objects called rigged configurations, for type $A^{(1)}_n$.
Okado, Masato +2 more
core +1 more source
, 2019 The Burrows-Wheeler transform (BWT) is a permutation whose applications are prevalent in data compression and text indexing. The bijective BWT is a bijective variant of it that has not yet been studied for text indexing applications. We fill this gap by proposing a self-index built on the bijective BWT .
Hideo Bannai +3 more
openaire +3 more sources
From tetrachoric to kappa: How to assess reliability on binary scales
British Journal of Mathematical and Statistical Psychology, Volume 79, Issue 3, Page 744-763, November 2026.Abstract Reliability is crucial in psychometrics, reflecting the extent to which a measurement instrument can discriminate between individuals or items. While classical test theory and intraclass correlation coefficients are well‐established for quantitative scales, estimating reliability for binary outcomes presents unique challenges due to their ...
Sophie Vanbelle
wiley +1 more source
The Haagerup property is not invariant under quasi‐isometry
Bulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.Abstract Using the work of Cornulier–Valette and Whyte (see Appendix A for the latter), we show that neither the Haagerup property nor weak amenability is invariant under quasi‐isometry of finitely generated groups. Appendix B shows, using the same examples, that the same holds for vanishing of the equivariant Lp$L^p$‐compression.
Mathieu Carette +4 more
wiley +1 more source
Weighted veronese rings via convex semigroups
Bulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.Abstract We determine several properties of two‐dimensional normal affine semigroup rings, and in particular of weighted Veronese rings, including determinantal presentations, Gröbner bases, graded Hilbert series and graded Betti numbers, the structure of their associated graded rings, and their Koszul property.
Bek Chase +6 more
wiley +1 more source
Discrete homotopy hypothesis for n$n$‐types
Proceedings of the London Mathematical Society, Volume 133, Issue 5, November 2026.Abstract We show that discrete and classical homotopy theories are equivalent after localizing at n$n$‐equivalences for any non‐negative integer n$n$. By constructing an explicit homotopy inverse to the graph nerve functor associating an n$n$‐fibrant cubical set to a graph, we are also able to give explicit computations of several previously unknown ...
Daniel Carranza, Krzysztof Kapulkin
wiley +1 more source
Pattern Avoidance and the Fundamental Bijection
The Electronic Journal of CombinatoricsThe fundamental bijection is a bijection $\theta:\mathcal{S}_n\to\mathcal{S}_n$ in which one uses the standard cycle form of one permutation to obtain another permutation in one-line form. In this paper, we enumerate the set of permutations $\pi\in\mathcal{S}_n$ that avoids a pattern $\sigma\in\mathcal{S}_3$, whose image $\theta(\pi)$ also avoids ...
Kassie Archer, Robert P. Laudone
openaire +2 more sources
Bijective Recurrences for Motzkin Paths
Advances in Applied Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Enumeration modulo four of overpartitions wherein only even parts may be overlined [PDF]
Discrete Mathematics LettersAidan Carlson +2 more
doaj +1 more source
About the Multifractal Nature of Cantor's Bijection [PDF]
, 2014 In this talk, we present the Cantor's bijection between the irrational numbers of the unit interval [0,1] and the irrational numbers of the unit square [0,1]². We explore the regularity and the fractal nature of this map.
Simons, Laurent, Nicolay, Samuel
core