Results 41 to 50 of about 18,601 (168)
Schubert polynomials for the classical groups [PDF]
Journal of the American Mathematical Society, 1995 We present a general theory of Schubert polynomials, which are explicit representatives for Schubert classes in the cohomology ring of a flag variety with certain combinatorial properties. The starting point for this theory is a construction of Schubert classes in the cohomology ring of the flag variety of any semi-simple complex Lie group by Bernstein-
Billey, Sara, Haiman, Mark
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On walks of variable length in the Schubert incidence systems and multivariate flow ciphers
Доповiдi Нацiональної академiї наук УкраїниThe flow cipher algorithm based on walks at the flag variety of a Schubert system over the finite commutative ring is proposed. The restriction of the incidence relation of the geometry of a finite simple Lie group of the normal type on the union of ...
V.A. Ustimenko
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Schur times Schubert via the Fomin-Kirillov algebra [PDF]
, 2013 We study multiplication of any Schubert polynomial $\mathfrak{S}_w$ by a Schur polynomial $s_\lambda$ (the Schubert polynomial of a Grassmannian permutation) and the expansion of this product in the ring of Schubert polynomials.
Meszaros, Karola +2 more
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Journal of Experimental Zoology Part A: Ecological and Integrative Physiology, EarlyView.ABSTRACT With climate change, birds will face increasing thermoregulatory demands, which may alter reproductive behaviors such as offspring provisioning. Experimental studies have shown that the provisioning capacity of female tree swallows (Tachycineta bicolor) is limited by their risk of overheating. Given that parental investment strategies may vary
Megan C. Heft +2 more
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A combinatorial proof that Schubert vs. Schur coefficients are nonnegative [PDF]
, 2014 We give a combinatorial proof that the product of a Schubert polynomial by a Schur polynomial is a nonnegative sum of Schubert polynomials. Our proof uses Assaf's theory of dual equivalence to show that a quasisymmetric function of Bergeron and Sottile ...
Assaf, Sami +2 more
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On Pl\"ucker Equations Characterizing Grassmann Cones
, 2018 Polynomial solutions to the KP hierarchy are known to be parametrized by a cone over an infinite-dimensional Grassmann variety. Using the notion of Schubert derivation on a Grassmann algebra, we encode the classical Pl\"ucker equations of Grassmannians ...
Gatto, Letterio, Salehyan, Parham
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Combinatorial 𝐵_{𝑛}-analogues of Schubert polynomials [PDF]
Transactions of the American Mathematical Society, 1996 Combinatorial B n B_{n} -analogues of Schubert polynomials and corresponding symmetric functions are constructed and studied. The development is based on an exponential solution of the type B B Yang-Baxter equation that involves the nilCoxeter algebra of the hyperoctahedral group.
Fomin, Sergey, Kirillov, Anatol N.
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A Dynamical Model for the Shallow‐to‐Deep Transition of Amazonian Moist Atmospheric Convection
Journal of Geophysical Research: Atmospheres, Volume 131, Issue 5, 16 March 2026.Abstract The development of deep convection and the timing of storm convection initiation over land are generally poorly represented by weather and climate models, probably due to the poor representation of the interaction between shallow and deep convection.
Cristian V. Vraciu
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Galois groups of Schubert problems via homotopy computation
, 2007 Numerical homotopy continuation of solutions to polynomial equations is the foundation for numerical algebraic geometry, whose development has been driven by applications of mathematics.
Leykin, Anton, Sottile, Frank
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A Robust Transformer–Based Error Compensation Method for Gyroscope of IMUs
Journal of Field Robotics, Volume 43, Issue 2, Page 932-948, March 2026.ABSTRACT Inertial Measurement Units (IMUs), comprising gyroscopes and accelerometers, are fundamental for motion estimation in navigation and robotics. However, their performance is often degraded by nonlinear and time‐varying errors, such as bias drift, scale‐factor deviations, and sensor noise.
Xin Ye +4 more
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