Results 41 to 50 of about 2,701,787 (159)
Skew quasisymmetric Schur functions and noncommutative Schur functions [PDF]
, 2010 Recently a new basis for the Hopf algebra of quasisymmetric functions QSym, called quasisymmetric Schur functions, has been introduced by Haglund, Luoto, Mason, van Willigenburg. In this paper we extend the definition of quasisymmetric Schur functions to
C. Bessenrodt +5 more
core +1 more source
The Chromatic Quasisymmetric Class Function of a Digraph [PDF]
Annals of Combinatorics, 2021 27 pages, 4 figures, 1 ...
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Bayer noise quasisymmetric functions and some combinatorial algebraic structures [PDF]
Categories and General Algebraic Structures with ApplicationsRecently, quasisymmetric functions have been widely studied due to their big connection to enumerative combinatorics, combinatorial Hopf algebra and number theory.
Adnan Abdulwahid
doaj +1 more source
Revisiting Pattern Avoidance and Quasisymmetric Functions [PDF]
Annals of Combinatorics, 2020 Let S_n be the nth symmetric group. Given a set of permutations Pi we denote by S_n(Pi) the set of permutations in S_n which avoid Pi in the sense of pattern avoidance. Consider the generating function Q_n(Pi) = sum_pi F_{Des pi} where the sum is over all pi in S_n(Pi) and F_{Des pi} is the fundamental quasisymmetric function corresponding to the ...
Bloom, Jonathan S., Sagan, Bruce E.
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DUAL EQUIVALENCE GRAPHS I: A NEW PARADIGM FOR SCHUR POSITIVITY
Forum of Mathematics, Sigma, 2015 We make a systematic study of a new combinatorial construction called a dual equivalence graph. We axiomatize these graphs and prove that their generating functions are symmetric and Schur positive.
SAMI H. ASSAF
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Corrigendum to “On the Existence of Pure and Mixed Strategy Nash Equilibrium in Discontinuous Games”
, 2022 Econometrica, Volume 90, Issue 6, Page 1-2, November 2022.
Christian Ewerhart, Philip J. Reny
wiley +1 more source
A Quasisymmetric Function Generalization of the Chromatic Symmetric Function [PDF]
The Electronic Journal of Combinatorics, 2011 The chromatic symmetric function $X_G$ of a graph $G$ was introduced by Stanley. In this paper we introduce a quasisymmetric generalization $X^k_G$ called the $k$-chromatic quasisymmetric function of $G$ and show that it is positive in the fundamental basis for the quasisymmetric functions.
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Quasisymmetric functions and Kazhdan-Lusztig polynomials [PDF]
Israel Journal of Mathematics, 2011 27 pages. Final version: definitions reorganized for clarity, added Example 4.6 and two citations.
Billera, L, BRENTI, FRANCESCO
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A characterisation of snowflakes via rectifiability
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We prove a generalisation to every metric space of Tyson–Wu's characterisation of metric spaces biLipschitz equivalent to snowflakes, by removing compactness, doubling and embeddability assumptions. We also characterise metric spaces that are biLipschitz equivalent to a snowflake in terms of the absence of non‐trivial metric 1‐currents in ...
Emanuele Caputo, Nicola Cavallucci
wiley +1 more source
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
wiley +1 more source