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$\Gamma$-convergence techniques are used to give a characterization of the behavior of a family of heterogeneous multiple scale integral functionals. Periodicity, standard growth conditions and nonconvexity are assumed whereas a stronger…

偏微分方程分析 · 数学 2007-05-23 Jean-Francois Babadjian , Margarida Baia

We describe how geometrical methods can be applied to a system with explicitly time-dependent second-class constraints so as to cast it in Hamiltonian form on its physical phase space. Examples of particular interest are systems which…

高能物理 - 理论 · 物理学 2007-05-23 Jonathan M. Evans , Philip A. Tuckey

This paper focuses on the study of a mathematical program with equilibrium constraints, where the objective and the constraint functions are all polynomials. We present a method for finding its global minimizers and global minimum using a…

最优化与控制 · 数学 2019-03-25 Liguo Jiao , Jae Hyoung Lee , Tien-Son Pham

We consider a class of self-interacting random walks in deterministic or random environments, known as excited random walks or cookie walks, on the d-dimensional integer lattice. The main purpose of this paper is two-fold: to give a survey…

概率论 · 数学 2013-05-15 Elena Kosygina , Martin P. W. Zerner

We study a phase transition in a 3D lattice gauge theory, a "coarse-grained" version of a classical dimer model. Duality arguments indicate that the dimer lattice theory should be dual to a XY model coupled to a gauge field with geometric…

强关联电子 · 物理学 2009-11-13 D. Charrier , F. Alet , P. Pujol

This note aims at providing a concise and self-contained document that describes a clear and easy-to-understand method, that could be useful for a reader that is approaching the linear-impulsive rendezvous topic for the first time, but that…

最优化与控制 · 数学 2019-12-18 Boris Benedikter , Alessandro Zavoli

This paper describes the mechanism of defect-mediated relaxation in a dodecagonal square-triangle random tiling phase exhibited by a simulated binary mixture of soft discs in 2D. We examine the internal transitions within the elementary…

软凝聚态物质 · 物理学 2015-06-18 Elisabeth Tondl , Malcolm Ramsay , Peter Harrowell , Asaph Widmer-Cooper

In this work, we study the effective behavior of a two-dimensional variational model within finite crystal plasticity for high-contrast bilayered composites. Precisely, we consider materials arranged into periodically alternating thin…

偏微分方程分析 · 数学 2019-02-01 Elisa Davoli , Rita Ferreira , Carolin Kreisbeck

One of the aims of this paper is to provide a short survey on the Z2-graded, the symmetric and the left (right) generalizations of the classical determinant theory for square matrices with entries in an arbitrary (possibly non-commutative)…

环与代数 · 数学 2015-01-07 J. Szigeti , L. van Wyk

A new mechanism for pressure profile relaxations in an edge tokamak plasma is derived from simulations within the two-fluid three-dimensional turbulence code EMEDGE3D. The relaxation is due to diamagnetic coupling in the resistive…

等离子体物理 · 物理学 2022-03-14 Francesco Cianfrani , Guillaume Fuhr , Peter Beyer

The objective of this work is to examine the integrability of Hamiltonian systems in $2D$ spaces with variable curvature of certain types. Based on the differential Galois theory, we announce the necessary conditions of the integrability.…

可精确求解与可积系统 · 物理学 2026-02-26 Wojciech Szumiński , Adel A. Elmandouh

3-D astrophysical atmospheres will have random velocity fields. We seek to combine the methods we have developed for solving the 1-D problem with arbitrary flows to those that we have developed for solving the fully 3-D relativistic…

太阳与恒星天体物理 · 物理学 2015-06-11 E. Baron , Peter H. Hauschildt , Bin Chen , Sebastian Knop

We propose deterministic sampling strategies for compressive imaging based on Delsarte-Goethals frames. We show that these sampling strategies result in multi-scale measurements which can be related to the 2D Haar wavelet transform. We…

信息论 · 计算机科学 2017-02-01 Andrew Thompson , Robert Calderbank

We demonstrate the power of 2D tensor networks for obtaining large deviation functions of dynamical observables in a classical nonequilibrium setting. Using these methods, we analyze the previously unstudied dynamical phase behavior of the…

统计力学 · 物理学 2020-10-07 Phillip Helms , Garnet Kin-Lic Chan

Many vertebrate motor and sensory systems decussate, or cross the midline to the opposite side of the body. The successful crossing of millions of axons during development requires a complex of tightly controlled regulatory processes.…

神经元与认知 · 定量生物学 2024-05-14 Troy Shinbrot , Wise Young

We describe a convex programming framework for pose estimation in 2D/3D point-set registration with unknown point correspondences. We give two mixed-integer nonlinear program (MINP) formulations of the 2D/3D registration problem when there…

计算机视觉与模式识别 · 计算机科学 2016-06-29 Yuehaw Khoo , Ankur Kapoor

In this paper, we provide an overview of development of a structured light 3D-scanner based on combination of binary-coded patterns and sinusoidal phase-shifted fringe patterns called Coded Phase-shift technique. Further, we describe the…

图像与视频处理 · 电气工程与系统科学 2021-10-22 Pranav Kant Gaur , D. M. Sarode , S. K. Bose

Based on geometric intuition, in this paper we are trying to give an idea and visualize the meaning of the determinants for the cubic-matrix. In this paper we have analyzed the possibilities of developing the concept of determinant of…

综合数学 · 数学 2025-10-22 Armend Salihu , Orgest Zaka

With the advent of autonomous vehicles, LiDAR and cameras have become an indispensable combination of sensors. They both provide rich and complementary data which can be used by various algorithms and machine learning to sense and make…

机器人学 · 计算机科学 2017-05-30 Ankit Dhall , Kunal Chelani , Vishnu Radhakrishnan , K. M. Krishna

We extend the results about existence of minimizers, relaxation, and approximation proven by Chambolle et al. in 2002 and 2007 for an energy related to epitaxially strained crystalline films, and by Braides, Chambolle, and Solci in 2007 for…

泛函分析 · 数学 2020-05-20 Vito Crismale , Manuel Friedrich