Results 71 to 80 of about 294 (153)
Moments of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract We give an asymptotic formula with power saving error term for the twisted first moment of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$ in the level aspect. As applications, we obtain nonvanishing results as well as lower bounds of the expected order of magnitude for all even moments, supporting the random matrix model for a unitary ...
Valentin Blomer, Félicien Comtat
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Skew Divided Difference Operators and Schubert Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We study an action of the skew divided difference operators on the Schubert polynomials and give an explicit formula for structural constants for the Schubert polynomials in terms of certain weighted paths in the Bruhat order on the symmetric group.
Anatol N. Kirillov
doaj
Posets, Regular CW Complexes and Bruhat Order
European Journal of Combinatorics, 1984 A poset P is thin if all its intervals of length two have cardinality four. For other terminology see e.g., the author and \textit{M. Wachs} [Trans. Am. Math. Soc. 277, 323-341 (1983; Zbl 0514.05009)]. In this very interesting paper the author continues his efforts at the classification of those posets which are somehow (combinatorially) topological in
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Geometric Bruhat order on (0,1)-matrices
, 2023 The combinatorially and the geometrically defined partial orders on the set of permutations coincide. We extend this result to $(0,1)$-matrices with fixed row and column sums. Namely, the Bruhat order induced by the geometry of a Cherkis bow variety of type A coincides with one of the two combinatorially defined Bruhat orders on the same set.
Botta, Tommaso Maria +2 more
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Coseismic Shallow Slip Deficit Accounted for by Diffuse Off‐Fault Deformation
Geophysical Research Letters, Volume 51, Issue 24, 28 December 2024.Abstract Earthquake ruptures produce fault slip and kilometer‐wide diffuse deformation of the host rocks. However, the origin of the diffuse deformation and its role in the rupture process are debated. We produce a refined slip model for the 2019 Ridgecrest, California, earthquakes, and analyze the relations between down‐dip rupture process, and ...
Solène L. Antoine +3 more
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On Invertibility of Large Binary Matrices
MathematicsMany data processing applications involve binary matrices for storing digital information. At present, there are limited results in the literature about algorithms for inverting large binary matrices.
Ibrahim Mammadov +2 more
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Higher bruhat orders and cyclic hyperplane arrangements
Topology, 1993 Bruhat (partial) orders form a class of important posets with interesting interpretations and relationships to a variety of structures of both combinatorial and/or topological nature, which have been reasonably well- studied as a consequence. Accordingly, it is important to discover proper generalizations which exhibit analogous connections to ...
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A catalanization map on the symmetric group [PDF]
Enumerative Combinatorics and Applications, 2022 Mahir Bilen Can +2 more
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Bruhat Order for Two Flags and a Line [PDF]
Journal of Algebraic Combinatorics, 2005 36 pages. Version 2 adds an Introduction stating results in terms of S_n; and corrects typos, including in statement of move (v).
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Boolean elements in the Bruhat order
Combinatorial TheoryWe show that $w\in W$ is boolean if and only if it avoids a set of Billey-Postnikov patterns, which we describe explicitly. Our proof is based on an analysis of inversion sets, and it is in large part type-uniform. We also introduce the notion of linear pattern avoidance, and show that boolean elements are characterized by avoiding just the $3$ linear ...
Gao, Yibo, Hänni, Kaarel
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