Orbit Structure of Grassmannian G2,m and a Decoder for Grassmann Code C(2, m). [PDF]
Piñero FL, Singh P.
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Lectures on equivariant Schubert polynomials
The notes are aimed at a reasonably self-contained introduction to the theory of Schubert polynomials (in a wider sense) for all the classical Lie types in the setting of torus equivariant cohomology. As a powerful combinatorial device, we use the restriction maps to the set of torus fixed points throughout the lectures.
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Single-SEM Schubert Polynomials
We give a pattern-avoidance characterization of $w \in S_n$ such that the Schubert polynomial $\mathfrak{S}_w$ is a standard elementary monomial. This characterization tells us which quantum Schubert polynomials are easiest to compute. We solve a similar problem for complete homogeneous monomials.
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About-Weekly Pattern in the Dynamic Complexity of a Healthy Subject's Cellular Immune Activity: A Biopsychosocial Analysis. [PDF]
Seizer L +5 more
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Real-time metabolic monitoring under exhaustive exercise and evaluation of ventilatory threshold by breathomics: Independent validation of evidence and advances. [PDF]
Pugliese G +7 more
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Towards robust data-driven reduced-order modelling for turbulent flows: application to vortex-induced vibrations. [PDF]
Schubert Y +3 more
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An Automated Toolchain for Camera-Enabled Sensing of Drinking Water Chlorine Residual. [PDF]
Schubert A +5 more
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Covexillary Schubert varieties and Kazhdan–Lusztig polynomials
We establish combinatorial and inductive formulas for Kazhdan-Lusztig polynomials associated to covexillary elements in classical types, extending results of Boe, Lascoux-Schützenberger, Sankaran-Vanchinathan, and Zelevinsky for Grassmannians of classical types.
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Combinatorial models for Schubert polynomials
Schubert polynomials are a basis for the polynomial ring that represent Schubert classes for the flag manifold. In this paper, we introduce and develop several new combinatorial models for Schubert polynomials that relate them to other known bases including key polynomials and fundamental slide polynomials.
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Case Report: Endocrine, immune and disease dynamics in a patient with rheumatoid arthritis during flare and medication change. [PDF]
Seizer L +6 more
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