Results 21 to 30 of about 2,701,787 (159)
Expanding quasisymmetric Schur $Q$-functions into peak Young quasisymmetric Schur functions
The dual immaculate and Young quasisymmetric Schur bases of quasisymmetric functions possess analogues in the peak algebra: respectively, the quasisymmetric Schur $Q$-functions and the peak Young quasisymmetric Schur functions.
Searles, Dominic +1 more
core +3 more sources
Power sum expansion of chromatic quasisymmetric functions [PDF]
The Electronic Journal of Combinatorics, 2015 The chromatic quasisymmetric function of a graph was introduced by Shareshian and Wachs as a refinement of Stanley's chromatic symmetric function.
Athanasiadis, C.A.
core +6 more sources
Studies on quasisymmetric functions
, 2016 Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.This electronic version was submitted by the student author.
Grinberg, Darij
core +2 more sources
Macdonald Polynomials and Chromatic Quasisymmetric Functions [PDF]
The Electronic Journal of Combinatorics, 2020 We express the integral form Macdonald polynomials as a weighted sum of Shareshian and Wachs' chromatic quasisymmetric functions of certain graphs. Then we use known expansions of these chromatic quasisymmetric functions into Schur and power sum symmetric functions to provide Schur and power sum formulas for the integral form Macdonald polynomials ...
James Haglund, Andrew Timothy Wilson
openaire +4 more sources
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
doaj +1 more source
Riffle shuffles with biased cuts [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 The well-known Gilbert-Shannon-Reeds model for riffle shuffles assumes that the cards are initially cut `about in half' and then riffled together. We analyze a natural variant where the initial cut is biased. Extending results of Fulman (1998), we show a
Sami Assaf +2 more
doaj +1 more source
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
wiley +1 more source
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
doaj +1 more source
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
wiley +1 more source