Results 91 to 100 of about 18,306 (234)
Dual Equivalence Graphs Revisited [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In 2007 Sami Assaf introduced dual equivalence graphs as a method for demonstrating that a quasisymmetric function is Schur positive. The method involves the creation of a graph whose vertices are weighted by Ira Gessel's fundamental quasisymmetric ...
Austin Roberts
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Rapid Northward Expansion of the Blacklegged Tick, Ixodes scapularis, in Response to Climate Change
Global Change Biology, Volume 31, Issue 11, November 2025.The blacklegged tick, Ixodes scapularis, can transmit human diseases such as Lyme disease and is exposing new human populations to this risk due to its rapid expansion into Canada. We used community science data (eTick and iNaturalist) to understand the environmental factors responsible for the distribution of I.
Jacob R. Westcott +3 more
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Demazure crystals and the energy function [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 There is a close connection between Demazure crystals and tensor products of Kirillov–Reshetikhin crystals. For example, certain Demazure crystals are isomorphic as classical crystals to tensor products of Kirillov–Reshetikhin crystals via a canonically ...
Anne Schilling, Peter Tingley
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A product formula for certain Littlewood-Richardson coefficients for Jack and Macdonald polynomials [PDF]
, 2014 Jack polynomials generalize several classical families of symmetric polynomials, including Schur polynomials, and are further generalized by Macdonald polynomials.
Naqvi, Yusra
core
Centrality of star and monotone factorisations
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3567-3585, November 2025.Abstract A factorisation problem in the symmetric group is central if conjugate permutations always have the same number of factorisations. We give the first fully combinatorial proof of the centrality of transitive star factorisations that is valid in all genera, which answers a natural question of Goulden and Jackson from 2009.
Jesse Campion Loth, Amarpreet Rattan
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The Classification of All Singular Nonsymmetric Macdonald Polynomials [PDF]
, 2021 Charles F. Dunkl
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Stable‐limit partially symmetric Macdonald functions and parabolic flag Hilbert schemes
Proceedings of the London Mathematical Society, Volume 131, Issue 5, November 2025.Abstract The modified Macdonald functions H∼μ$\widetilde{H}_{\mu }$ are fundamental objects in modern algebraic combinatorics. Haiman showed that there is a correspondence between the (C∗)2$(\mathbb {C}^{*})^2$‐fixed points Iμ$I_{\mu }$ of the Hilbert schemes Hilbn(C2)$\mathrm{Hilb}_{n}(\mathbb {C}^2)$ and the functions H∼μ$\widetilde{H}_{\mu ...
Milo Bechtloff Weising, Daniel Orr
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Macdonald Polynomials and Algebraic Integrability
Advances in Mathematics, 2002 54 ...
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Nonsymmetric Macdonald polynomials and a refinement of Kostka–Foulkes polynomials [PDF]
Transactions of the American Mathematical Society, 2018 15 pages, 12 figures; expanded introduction and updated ...
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Forum of Mathematics, SigmaWe construct a novel family of difference-permutation operators and prove that they are diagonalized by the wreath Macdonald P-polynomials; the eigenvalues are written in terms of elementary symmetric polynomials of arbitrary degree.
Daniel Orr, Mark Shimozono, Joshua Wen
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