Results 91 to 100 of about 60,017 (247)

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
wiley   +1 more source

A Hybrid‐High Order Method for Fracture Modelling

International Journal for Numerical Methods in Engineering, Volume 127, Issue 13, 15 July 2026.
ABSTRACT In this work we introduce a new Hybrid High‐Order method for the numerical simulation of fracture propagation based on phase‐field models. The proposed method: supports general meshes made of polygonal/polyhedral elements, which provides great flexibility in mesh design and adaptation; can accommodate large variations of both the displacement ...
Alessandra Crippa, Julien Coatléven, Daniele A. Di Pietro, Nicolas Guy, Soleiman Yousef   +4 more
wiley   +1 more source

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, Wei Mengdi, Xu Guipeng, Ren Simin, Wei Yaxin   +4 more
doaj  

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, Jonathan Cameron, Joan Lasenby   +2 more
openaire   +1 more source

Sensitivity of Double‐Diffusive Mixed Convection in an Enclosure With a Zigzag Bottom Wall and a Torsionally Oscillating Lid Using Hybrid Nanofluid

Engineering Reports, Volume 8, Issue 7, July 2026.
This study investigates the nature of sensitivity of an unsteady double‐diffusive mixed convective analysis in a trapezoidal enclosure featuring a zigzag bottom wall and a torsionally oscillating lid. This cavity is filled by a hybrid nanofluid (Ag‐MgO‐H2O). The cavity also contains internal heat generation.
Romana Sultana, Md. Arafat Hossain, Saiful Islam, Badhan Neogi, Md. Mamun Molla, M. M. Rahman   +5 more
wiley   +1 more source

Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature

Mathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.
ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río, R. Rodríguez‐Gigirey, R. Vázquez‐Lorenzo   +2 more
wiley   +1 more source

Efficient inverse kinematics algorithm based on conformal geometric algebra [PDF]

, 2022
S.300-307This paper presents a very efficient approach for algorithms developed based on conformal geometric algebra using reconfigurable hardware. We use the inverse kinematics of the arm of a virtual human as an example, but we are convinced that this ...
Koch, Andreas, Lange, Holger, Stock, Florian, Hildenbrand, Dietmar   +3 more
core  

Surface‐guided analysis of breast shape changes during postoperative radiotherapy by using a functional map framework

Medical Physics, Volume 53, Issue 7, July 2026.
Abstract BackgroundWhile positioning errors during radiotherapy are increasingly well‐characterized and accounted for in the Planning Target Volume (PTV), little is known about the shape and volume changes of the breast in the course of radiotherapy. Yet they represent an unknown factor that may impact treatment effectiveness, highlighting the need to ...
Pierre Galmiche, Hyewon Seo, Yvan Pin, Philippe Meyer, Georges Noël, Michel De Mathelin   +5 more
wiley   +1 more source

Tutorial Appendix: Structure Preserving Representation of Euclidean Motions Through Conformal Geometric Algebra [PDF]

, 2011
Using conformal geometric algebra, Euclidean motions in n-D are represented as orthogonal transformations of a representational space of two extra dimensions, and a well-chosen metric. Orthogonal transformations are representable as multiple reflections,
Dorst, L., Leo Dorst
core   +1 more source

On T T ¯ $$ \sqrt{T\overline{T}} $$ deformed pathways: CFT to CCFT

Journal of High Energy Physics
We 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, Pulastya Parekh, Robin Raj   +2 more
doaj   +1 more source