Results 61 to 70 of about 386 (180)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, Volume 299, Issue 8, Page 1894-1916, August 2026.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
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Kinematics Analysis of Industrial Robot Based on Conformal Geometry Algebra
Jixie chuandong, 2023 In order to solve the problem of high complexity and large amount of computation for kinematics of industrial robots, Conformal geometric algebra （CGA） was introduced to the construction of kinematics model of industrial robots. In the forward kinematics
Yu Yang +4 more
doaj
Fortschritte der Physik, Volume 74, Issue 8, August 2026.ABSTRACT We apply the boundary‐only isothermal formulation of finite‐distance weak gravitational deflection to regular black holes, black‐bounces, traversable wormholes, non‐asymptotically flat backgrounds, and static quadrupolar spacetimes. The methodological advance is not a new value for a known bending angle.
Reggie C. Pantig, Ali Övgün
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Applications of Conformal Geometric Algebra in Computer Vision and Graphics [PDF]
, 2005 This paper introduces the mathematical framework of conformal geometric algebra (CGA) as a language for computer graphics and computer vision. Specifically it discusses a new method for pose and position interpolation based on CGA which firstly allows for existing interpolation methods to be cleanly extended to pose and position interpolation, but also
Rich Wareham +2 more
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The Chemical Record, Volume 26, Issue 8, August 2026.This publication describes how R. B. Woodward and Roald Hoffmann crafted their masterpiece publications. Illustrations include Woodward's first draft of the famous “Violations There are none. Nor can violations be expected of so fundamental a principle of maximum bonding.” Original but discarded text shows the stepwise paths toward the W‐H masterpieces.
Jeffrey I. Seeman
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Wind Turbine Control for Spatially Varying Turbulence
Wind Energy, Volume 29, Issue 8, August 2026.ABSTRACT This study investigates the influence of inflow turbulence generation simulation methods and blade pitch control strategies on the performance and blade structure loading of a large offshore wind turbine. Two inflow representations were considered: synthetic Kaimal turbulence generated in accordance with IEC design standards and large‐eddy ...
Hannah Mullings +5 more
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On T T ¯ $$ \sqrt{T\overline{T}} $$ deformed pathways: CFT to CCFT
Journal of High Energy PhysicsWe discuss the marginal T T ¯ $$ \sqrt{T\overline{T}} $$ deformation of massless scalar field theories in two dimensions from a dynamical perspective. The operator flow equations for such deformations induce a particular Legendre Transformation between ...
Aritra Banerjee +2 more
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Journal of Applied Crystallography, Volume 59, Issue 4, Page 1282-1293, August 2026.A neutron microscope is presented comprising a Wolter‐I nested mirror optic as condenser and a 2D array of neutron achromats as objective.We present a nested Wolter‐I mirror design for a neutron condenser, which is based on established X‐ray telescope technology.
H. F. Poulsen +12 more
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The Role of Dice in the Emergence of the Probability Calculus
International Statistical Review, Volume 94, Issue 2, Page 464-483, August 2026.Summary The early development of the probability calculus was clearly influenced by the roll of dice. However, while dice have been cast since time immemorial, documented calculations on the frequency of various dice throws date back only to the mid‐13th century.
David R. Bellhouse, Christian Genest
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