Results 41 to 50 of about 294 (153)
Bruhat Order in Full Symmetric Toda System [PDF]
Communications in Mathematical Physics, 2014 In this paper we discuss some geometrical and topological properties of the full symmetric Toda system. We show by a direct inspection that the phase transition diagram for the full symmetric Toda system in dimensions $n=3,4$ coincides with the Hasse diagram of the Bruhat order of symmetric groups $S_3$ and $S_4$.
Chernyakov, Yu. B. +2 more
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Quotients of Twisted Bruhat Orders
Journal of Algebra, 1994 The present paper is a continuation of the author's preceding paper [Contemp. Math. 139, 141-165 (1992; Zbl 0833.20048)] on the study of a twisted Bruhat order \(\leq_A\) on a Coxeter group \(W\), where \(A\) is some initial section of reflections of \(W\). Let \(W\) be an indecomposable affine Weyl group represented geometrically on a euclidean space \
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The Order Dimension of Bruhat Order on Infinite Coxeter Groups [PDF]
The Electronic Journal of Combinatorics, 2005 We give a quadratic lower bound and a cubic upper bound on the order dimension of the Bruhat (or strong) ordering of the affine Coxeter group ${\tilde{A}}_n$. We also demonstrate that the order dimension of the Bruhat order is infinite for a large class of Coxeter groups.
Reading, Nathan, Waugh, Debra J.
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KP Solitons, Higher Bruhat and Tamari Orders [PDF]
, 2012 In a tropical approximation, any tree-shaped line soliton solution, a member of the simplest class of soliton solutions of the Kadomtsev-Petviashvili (KP-II) equation, determines a chain of planar rooted binary trees, connected by right rotation. More precisely, it determines a maximal chain of a Tamari lattice.
Müller-Hoissen, F., Dimakis, A.
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Geophysical Research Letters, Volume 53, Issue 3, 16 February 2026.Abstract Myanmar's high seismic hazard is underscored by the 2025 Mw 7.7 earthquake on the Sagaing Fault, yet its seismicity patterns and underlying controls remain poorly understood. Using new seismic data from the 2nd‐phase array of the China‐Myanmar Geophysical Survey in the Myanmar Orogen, we construct a high‐resolution catalog of 1,819 local ...
Mingming Jiang +11 more
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Noncrossing partitions and Bruhat order
European Journal of Combinatorics, 2016 We prove that the restriction of Bruhat order to noncrossing partitions in type $A_n$ for the Coxeter element $c=s_1s_2 ...s_n$ forms a distributive lattice isomorphic to the order ideals of the root poset ordered by inclusion. Motivated by the change-of-basis from the graphical basis of the Temperley-Lieb algebra to the image of the simple elements of
Gobet, Thomas, Williams, Nathan
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Back‐Propagating Earthquakes on Simple Faults
AGU Advances, Volume 7, Issue 1, February 2026.Abstract Back‐propagating earthquakes, characterized by a secondary front reversing into previously ruptured areas, challenge conventional models of rupture dynamics and have been increasingly documented in recent years. The conditions for this phenomenon remain poorly understood: while rupture complexity is often attributed to fault heterogeneity ...
Yudong Sun, Camilla Cattania
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Coxeter's enumeration of Coxeter groups
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
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Sets of reflections defining twisted Bruhat orders [PDF]
Journal of Algebraic Combinatorics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Geophysical Research Letters, Volume 52, Issue 23, 16 December 2025.Abstract Supershear rupture has been investigated by many studies, yet its exact characteristics during natural earthquakes are not fully clear, due to the paucity of near‐field constraints. Here we analyze the strong motion data recorded at a near‐fault station during the 2025 Mw 7.8 Myanmar earthquake to estimate the detailed source process around ...
Xiaotian Ding, Shiqing Xu, Lingling Ye
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