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In the following work we will introduce and discuss in detail a particular model of complex $\kappa$-deformed scalar field, whose behaviour under C, P , T transformation is particularly transparent from both a formal and phenomenological…

High Energy Physics - Theory · Physics 2023-11-02 Andrea Bevilacqua

The paper explores the differential inclusion of a special form. It is supposed that the support function of the set in the right-hand side of an inclusion may contain the maximum of the finite number of continuously differentiable (in…

Optimization and Control · Mathematics 2023-05-04 Alexander Fominyh

This paper introduces an automatic debugging framework that relies on model-based reasoning techniques to locate faults in programs. In particular, model-based diagnosis, together with an abstract interpretation based conflict detection…

Software Engineering · Computer Science 2007-05-23 Wolfgang Mayer , Markus Stumptner

There are many situations when modelling environmental phenomena for which it is not appropriate to assume a stationary dependence structure. \cite{sampson1992} proposed an approach to allowing nonstationarity in dependence based on a…

Methodology · Statistics 2020-01-22 Benjamin D. Youngman

A Batalin-Vilkovisky formalism is most general framework to construct consistent quantum field theories. Its mathematical structure is called {\it a Batalin-Vilkovisky structure}. First we explain rather mathematical setting of a…

Symplectic Geometry · Mathematics 2017-08-23 Noriaki Ikeda

We introduce an orbifold induction procedure which provides a systematic construction of cyclic orbifolds, including their twisted sectors. The procedure gives counterparts in the orbifold theory of all the current-algebraic constructions…

High Energy Physics - Theory · Physics 2014-11-18 L. Borisov , M. B. Halpern , C. Schweigert

We develop a general framework for working with structured lifting problems, establishing closure and uniqueness properties of their solutions. In a subsequent paper, we apply these results to axiomatize computation rules of cubical type…

Category Theory · Mathematics 2025-12-18 Chris Kapulkin , Yufeng Li

An adapted deflation preconditioner is employed to accelerate the solution of linear systems resulting from the discretization of fracture mechanics problems with well-conditioned extended/generalized finite elements. The deflation space…

Computational Engineering, Finance, and Science · Computer Science 2022-05-11 Konstantinos Agathos , Tim Dodwell , Eleni Chatzi , Stephane P. A. Bordas

In this work we define a deformation theory for the Coupled K\"ahler-Yang-Mills equations in arXiv:1102.0991, generalizing work of Sz\'ekelyhidi on constant scalar curvature K\"ahler metrics. We use the theory to find new solutions of the…

Differential Geometry · Mathematics 2017-05-17 Mario Garcia-Fernandez , Carl Tipler

A continuum field theory approach is presented for modeling elastic and plastic deformation, free surfaces and multiple crystal orientations in non-equilibrium processing phenomena. Many basic properties of the model are calculated…

Soft Condensed Matter · Physics 2009-11-10 K. R. Elder , Martin Grant

After sketching recent advances and subtleties in classical relativistically covariant field theories, we give in this short Note some indications as to how the deformation quantization approach can be used to solve or at least give a…

Quantum Algebra · Mathematics 2007-05-23 Giuseppe Dito

Multimodal human action understanding is a significant problem in computer vision, with the central challenge being the effective utilization of the complementarity among diverse modalities while maintaining model efficiency. However, most…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Hongsong Wang , Heng Fei , Bingxuan Dai , Jie Gui

Deformed correlated Gaussian basis functions are introduced and their matrix elements are calculated. These basis functions can be used to solve problems with nonspherical potentials. One example of such potential is the dipole…

Chemical Physics · Physics 2021-12-22 Matthew Beutel , Alexander Ahrens , Chenhang Huang , Yasuyuki Suzuki , Kalman Varga

Shape deformation is an important component in any geometry processing toolbox. The goal is to enable intuitive deformations of single or multiple shapes or to transfer example deformations to new shapes while preserving the plausibility of…

Graphics · Computer Science 2020-09-04 Minhyuk Sung , Zhenyu Jiang , Panos Achlioptas , Niloy J. Mitra , Leonidas J. Guibas

In this paper the deformation quantization is constructed in the case of scalar fields on Minkowski space-time. We construct the star products at three level concerning fields, Hamiltonian functionals and their underlying structure called…

Mathematical Physics · Physics 2019-02-15 Jie Wu , Mai Zhou

We present some relaxation and integral representation results for energy functionals in the setting of structured deformations, with special emphasis given to the case of multi-level structured deformations. In particular, we present an…

Analysis of PDEs · Mathematics 2025-04-23 A. C. Barroso , J. Matias , E. Zappale

Skeleton-based and cage-based deformation techniques represent the two most popular approaches to control real-time deformations of digital shapes and are, to a vast extent, complementary to one another. Despite their complementary roles,…

Graphics · Computer Science 2019-09-09 Fabrizio Corda , Jean-Marc Thiery , Marco Livesu , Enrico Puppo , Tamy Boubekeur , Riccardo Scateni

We propose a method to recover the structure of a compound object from multiple silhouettes. Structure is expressed as a collection of 3D primitives chosen from a pre-defined library, each with an associated pose. This has several…

Computer Vision and Pattern Recognition · Computer Science 2014-02-27 Anton van den Hengel , John Bastian , Anthony Dick , Lachlan Fleming

We formulate and analyze a multiscale method for an elliptic problem with an oscillatory coefficient based on a skeletal (hybrid) formulation. More precisely, we employ hybrid discontinuous Galerkin approaches and combine them with the…

Numerical Analysis · Mathematics 2025-02-03 Peipei Lu , Roland Maier , Andreas Rupp

We construct integrability-preserving deformations of the integrable $\sigma$-model coupling together $N$ copies of the Principal Chiral Model. These deformed theories are obtained using the formalism of affine Gaudin models, by applying…

High Energy Physics - Theory · Physics 2020-05-19 Cristian Bassi , Sylvain Lacroix