Results 91 to 100 of about 67,761 (247)
Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, EarlyView.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
Quantum Integrable Model of an Arrangement of Hyperplanes
Symmetry, Integrability and Geometry: Methods and Applications, 2011 The goal of this paper is to give a geometric construction of the Bethe algebra (of Hamiltonians) of a Gaudin model associated to a simple Lie algebra.
Alexander Varchenko
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Lie algebra cohomology of the positive part of twisted affine Lie algebras [PDF]
, 2023 Jiuzu Hong, Shrawan Kumar
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Skew Symmetric Extended Affine Lie algebras [PDF]
, 2023 S. Eswara Rao, Priyanshu Chakraborty
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Deadbeat Robust Model Predictive Control: Robustness Without Computing Robust Invariant Sets
International Journal of Robust and Nonlinear Control, Volume 36, Issue 1, Page 428-438, 10 January 2026.ABSTRACT Deadbeat Robust Model Predictive Control (DRMPC) is introduced as a new approach of Robust Model Predictive Control (RMPC) for linear systems with additive disturbances. Its main idea is to completely extinguish the effect of the disturbances in the predictions within a small number of time steps, called the deadbeat horizon.
Georg Schildbach
wiley +1 more source
Integrable boundary conditions in the antiferromagnetic Potts model
Journal of High Energy Physics, 2020 We present an exact mapping between the staggered six-vertex model and an integrable model constructed from the twisted affine D 2 2 $$ {D}_2^2 $$ Lie algebra.
Niall F. Robertson +3 more
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Multiloop Lie algebras and the construction of extended affine Lie algebras
Journal of Algebra, 2010 31 pages, corrected typos, added ...
openaire +3 more sources
On certain extremal Banach–Mazur distances and Ader's characterization of distance ellipsoids
Mathematika, Volume 72, Issue 1, January 2026.Abstract A classical consequence of the John Ellipsoid Theorem is the upper bound n$\sqrt {n}$ on the Banach–Mazur distance between the Euclidean ball and any symmetric convex body in Rn$\mathbb {R}^n$. Equality is attained for the parallelotope and the cross‐polytope. While it is known that they are unique with this property for n=2$n=2$ but not for n⩾
Florian Grundbacher, Tomasz Kobos
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The unification in an su ̂ 8 k U = 1 $$ \hat{su}{(8)}_{k_U=1} $$ affine Lie algebra
Journal of High Energy PhysicsA flavor-unified theory based on the simple Lie algebra of su $$ \mathfrak{su} $$ (8) was previously proposed to generate the observed three-generational Standard Model quark/lepton mass hierarchies and the Cabibbo-Kobayashi-Maskawa mixing pattern due to
Ning Chen, Zhanpeng Hou, Zhaolong Teng
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