Results 1 to 10 of about 82 (82)
A Proof of the Extended Delta Conjecture
Forum of Mathematics, Pi, 2023 We prove the extended delta conjecture of Haglund, Remmel and Wilson, a combinatorial formula for $\Delta _{h_l}\Delta ' _{e_k} e_{n}$ , where $\Delta ' _{e_k}$ and $\Delta _{h_l}$ are Macdonald eigenoperators and $e_n$ is an ...
Jonah Blasiak +4 more
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A Symmetric Function of Increasing Forests
Forum of Mathematics, Sigma, 2021 For an indifference graph G, we define a symmetric function of increasing spanning forests of G. We prove that this symmetric function satisfies certain linear relations, which are also satisfied by the chromatic quasisymmetric function and unicellular $\
Alex Abreu, Antonio Nigro
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Skew characters and cyclic sieving
Forum of Mathematics, Sigma, 2021 In 2010, Rhoades proved that promotion on rectangular standard Young tableaux, together with the associated fake-degree polynomial, provides an instance of the cyclic sieving phenomenon.
Per Alexandersson +3 more
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A Shuffle Theorem for Paths Under Any Line
Forum of Mathematics, Pi, 2023 We generalize the shuffle theorem and its $(km,kn)$ version, as conjectured by Haglund et al. and Bergeron et al. and proven by Carlsson and Mellit, and Mellit, respectively. In our version the $(km,kn)$ Dyck paths on the combinatorial side
Jonah Blasiak +4 more
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Row bounds needed to justifiably express flagged Schur functions with Gessel-Viennot determinants [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 Let $\lambda$ be a partition with no more than $n$ parts. Let $\beta$ be a weakly increasing $n$-tuple with entries from $\{ 1, ... , n \}$. The flagged Schur function in the variables $x_1, ...
Robert A. Proctor, Matthew J. Willis
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Forum of Mathematics, Sigma, 2023 Let G be a finite group. Let $H, K$ be subgroups of G and $H \backslash G / K$ the double coset space. If Q is a probability on G which is constant on conjugacy classes ( $Q(s^{-1} t s) = Q(t)$ ), then the random walk driven by Q on G ...
Persi Diaconis +2 more
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Veterinary Dermatology, Volume 34, Issue 6, Page 586-596, December 2023., 2023 Background – In clinical practice, the diagnosis of otitis externa (OE) normally is based on otoscopic examination and cytological findings, followed by empirical treatment with topic drugs. Biofilm‐producing bacteria are frequently present in OE, even if its presence is often underdiagnosed. Hypothesis/Objectives – The primary aim of this study was to
Luca Luciani +6 more
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Forum of Mathematics, Sigma, 2023 For any branched double covering of compact Riemann surfaces, we consider the associated character varieties that are unitary in the global sense, which we call $\operatorname {\mathrm {GL}}_n\rtimes \!}$ -character varieties.
Cheng Shu
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Regional Science Policy &Practice, Volume 15, Issue 6, Page 1299-1316, August 2023., 2023 Abstract The biggest barrier to an egalitarian Sub‐Saharan Africa (SSA) appears to be deeply ingrained structural obstacles and gender imbalances. The significant prevalence of gender inequities, which have both structural and economic ramifications, must be addressed if SSA is committed to achieving the Africa 2063 Agenda (the Africa we want) and ...
Wycliffe Obwori Alwago
wiley +1 more source
Veterinary Dermatology, Volume 34, Issue 3, Page 235-245, June 2023., 2023 Background – Oral and parenteral drug delivery in horses can be difficult. Equine‐specific transdermal drug formulations offer improved ease of treatment; development of such formulations requires a deeper understanding of the structural and chemical tissue barrier of horse skin. Hypothesis/Objectives – To compare the structural composition and barrier
Samuel C. Bizley +3 more
wiley +1 more source