Results 11 to 20 of about 2,635 (165)
Quasisymmetric Schur functions and modules of the $0$-Hecke algebra [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We define a $0$-Hecke action on composition tableaux, and then use it to derive $0$-Hecke modules whose quasisymmetric characteristic is a quasisymmetric Schur function.
Vasu Tewari, Stephanie van Willigenburg
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A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We establish several properties of an algorithm defined by Mason and Remmel (2010) which inserts a positive integer into a row-strict composition tableau.
Jeffrey Ferreira
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Refinements of the Littlewood-Richardson rule [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 We refine the classical Littlewood-Richardson rule in several different settings. We begin with a combinatorial rule for the product of a Demazure atom and a Schur function.
J. Haglund +3 more
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Super quasi-symmetric functions via Young diagrams [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We consider the multivariate generating series $F_P$ of $P-$partitions in infinitely many variables $x_1, x_2, \ldots$ . For some family of ranked posets $P$, it is natural to consider an analog $N_P$ with two infinite alphabets.
Jean-Christophe Aval +3 more
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Quasiconformal distortion of the Assouad spectrum and classification of polynomial spirals
Bulletin of the London Mathematical Society, Volume 55, Issue 1, Page 282-307, February 2023., 2023 Abstract We investigate the distortion of Assouad dimension and the Assouad spectrum under Euclidean quasiconformal maps. Our results complement existing conclusions for Hausdorff and box‐counting dimension due to Gehring–Väisälä and others. As an application, we classify polynomial spirals Sa:={x−aeix:x>0}$S_a:=\lbrace x^{-a}e^{{\mathbf {i}} x}:x>0 ...
Efstathios K. Chrontsios Garitsis +1 more
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Modeling Asymmetric Flow in the Thin‐Slab Casting Mold Under Electromagnetic Brake
steel research international, Volume 93, Issue 12, December 2022., 2022 Herein, a coupled simulation of the solidification during the thin‐slab casting of steel is performed, including the turbulent flow, heat transfer, and magnetohydrodynamic forces. The impact of the partial clogging of a submerged entry nozzle on the melt flow, superheat distribution, and shell thickness is investigated without a magnetic field and ...
Alexander Vakhrushev +8 more
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Peak algebras, paths in the Bruhat graph and Kazhdan-Lusztig polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We obtain a nonrecursive combinatorial formula for the Kazhdan-Lusztig polynomials which holds in complete generality and which is simpler and more explicit than any existing one, and which cannot be linearly simplified. Our proof uses a new basis of the
Francesco Brenti, Fabrizio Caselli
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MacMahon’s statistics on higher-dimensional partitions
Forum of Mathematics, Sigma, 2023 We study some combinatorial properties of higher-dimensional partitions which generalize plane partitions. We present a natural bijection between d-dimensional partitions and d-dimensional arrays of nonnegative integers.
Alimzhan Amanov, Damir Yeliussizov
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Two‐dimensional metric spheres from gluing hemispheres
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3069-3102, December 2022., 2022 Abstract We study metric spheres (Z,dZ)$(Z, d_{Z} )$ obtained by gluing two hemispheres of S2$\mathbb {S}^{2}$ along an orientation‐preserving homeomorphism g:S1→S1$g \colon \mathbb {S}^{1} \rightarrow \mathbb {S}^{1}$, where dZ$d_{Z}$ is the canonical distance that is locally isometric to S2$\mathbb {S}^{2}$ off the seam. We show that if (Z,dZ)$(Z, d_{
Toni Ikonen
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$0$-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We define an action of the $0$-Hecke algebra of type A on the Stanley-Reisner ring of the Boolean algebra. By studying this action we obtain a family of multivariate noncommutative symmetric functions, which specialize to the noncommutative Hall ...
Jia Huang
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