Results 61 to 70 of about 294 (153)
The Bruhat order on permutations arises out of the study of Schubert varieties in Grassmannians and flag varieties, which have been important for over 100 years. The purpose of this paper is to study variations on this theme related to subvarieties of the spanning line configurations $X_{n,k}$ as defined by Pawlowski and Rhoades. These subvarieties are
Billey, Sara C., Ryan, Stark
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A Monoid for the Grassmannian Bruhat Order
European Journal of Combinatorics, 1999 If \(S_\infty\) denotes the group of permutations on the natural numbers fixing all but a finite number then \(u\in S_\infty\) may be used to define Schubert polynomials \(S_u\in Z[X_1,X_2,\dots]\) as a homogeneous basis indexed by these. For \(u,v\in S_\infty\), the product \(S_uS_v= \Sigma_w c^w_{uv}\) \((w\in S_\infty)\) where the structure ...
Bergeron, N, Sottile, F
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2‐Adic Quantum Mechanics, Continuous‐Time Quantum Walks, and the Space Discreteness
Fortschritte der Physik, Volume 73, Issue 8, August 2025.Abstract The authors show that a large class of 2‐adic Schrödinger equations is the scaling limit of certain continuous‐time quantum Markov chains (CTQMCs). Practically, a discretization of such an equation gives a CTQMC. As a practical result, new types of continuous‐time quantum walks (CTQWs) on graphs using two symmetric matrices are constructed ...
W. A. Zúñiga‐Galindo
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Thermal Pressurization in Rough Faults: Implications for Frictional Melting and Rupture Dynamics
Journal of Geophysical Research: Solid Earth, Volume 130, Issue 6, June 2025.Abstract Thermal pressurization (TP) is widely accepted as one of the primary dynamic frictional weakening mechanisms during earthquakes. However, most studies, whether experimental or numerical, have focused on the effects of TP on planar faults, while natural fault surfaces typically exhibit a fractal rough geometry.
Nir Z. Badt, Yuval Tal
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Wachs permutations, Bruhat order and weak order
European Journal of CombinatoricsWe study the partial orders induced on Wachs and signed Wachs permutations by the Bruhat and weak orders of the symmetric and hyperoctahedral groups. We show that these orders are graded, determine their rank function, characterize their ordering and covering relations, and compute their characteristic polynomials, when partially ordered by Bruhat ...
Brenti, Francesco, Sentinelli, Paolo
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Strong subgroup recurrence and the Nevo–Stuck–Zimmer theorem
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let Γ$\Gamma$ be a countable group and Sub(Γ)$\mathrm{Sub}(\Gamma)$ its Chabauty space, namely, the compact Γ$\Gamma$‐space consisting of all subgroups of Γ$\Gamma$. We call a subgroup Δ∈Sub(Γ)$\Delta \in \mathrm{Sub}(\Gamma)$ a boomerang subgroup if for every γ∈Γ$\gamma \in \Gamma$, γniΔγ−ni→Δ$\gamma ^{n_i} \Delta \gamma ^{-n_i} \rightarrow ...
Yair Glasner, Waltraud Lederle
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Zonotopes associated with higher Bruhat orders
Discrete Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Felsner, Stefan, Ziegler, Günter M.
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Detecting Millimetric Slow Slip Events Along the North Anatolian Fault With GNSS
Geophysical Research Letters, Volume 52, Issue 10, 28 May 2025.Abstract Active faults release part of the elastic strain energy stored in the crust via aseismic slip, either through slow slip events (SSEs) or steady slowly creep. However, spatial and temporal interactions between these different styles of aseismic slip have yet to be quantified especially at depth.
Alpay Özdemir +7 more
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Local character expansions and asymptotic cones over finite fields
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We generalise Gelfand–Graev characters to R/Z$\mathbb {R}/\mathbb {Z}$‐graded Lie algebras and lift them to produce new test functions to probe the local character expansion in positive depth. We show that these test functions are well adapted to compute the leading terms of the local character expansion and relate their determination to the ...
Dan Ciubotaru, Emile Okada
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Feigin–Odesskii brackets associated with Kodaira cycles and positroid varieties
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We establish a link between open positroid varieties in the Grassmannians G(k,n)$G(k,n)$ and certain moduli spaces of complexes of vector bundles over Kodaira cycle Cn$C^n$, using the shifted Poisson structure on the latter moduli spaces and relating them to the standard Poisson structure on G(k,n)$G(k,n)$.
Zheng Hua, Alexander Polishchuk
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