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Two constructions of two-dimensional Golay complementary array sets with flexible sizes in two dimensions
Two-dimensional (2-D) Golay complementary array sets (GCASs) have many practical applications such as massive multiple-input multiple-output (MIMO)...
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Equivalence with an Optimal Transport Problem in Two Dimensions
In two dimensions, the least gradient problem can be interpreted in several different ways. In this Chapter, we focus on the equivalence between the...
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Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions
We present two approaches to establish the exponential decay of correlation functions of Euclidean quantum field theories (EQFTs) via stochastic...
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Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions
This paper presents a quadrature method for evaluating layer potentials in two dimensions close to periodic boundaries, discretized using the...
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Strichartz estimates for Maxwell equations in media: the structured case in two dimensions
We prove Strichartz estimates for the two dimensional Maxwell equations with diagonal Lipschitz permittivity of special structure. The estimates have...
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Finite Difference Schemes for Time-Space Fractional Diffusion Equations in One- and Two-Dimensions
In this paper, finite difference schemes for solving time-space fractional diffusion equations in one dimension and two dimensions are proposed. The...
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Numerical Stability and Convergence for Delay Space-Fractional Fisher Equations with Mixed Boundary Conditions in Two Dimensions
In this paper, for generalized two-dimensional delay space-fractional Fisher equations with mixed boundary conditions, we present the stability and...
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Spectral structure of the Neumann–Poincaré operator on thin domains in two dimensions
We consider the spectral structure of the Neumann–Poincaré operators defined on the boundaries of thin domains of rectangular shape in two...
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The asymptotics of the area-preserving mean curvature and the Mullins–Sekerka flow in two dimensions
We provide the first general result for the asymptotics of the area preserving mean curvature flow in two dimensions showing that flat flow...
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Parameter estimation for a linear parabolic SPDE model in two space dimensions with a small noise
We study parameter estimation for a linear parabolic second-order stochastic partial differential equation (SPDE) in two space dimensions with a...
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Heat Kernel in Two Dimensions
In this chapter we compute the heat kernel and the resolvent on arbitrary spin-tensor vector bundles over the sphere S2 and the hyperbolic plane H2.
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Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation
Optimal quadratic spline collocation (QSC) method has been widely used in various problems due to its high-order accuracy, while the corresponding...
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Numerical study of two-parameter singularly perturbed problem in two dimensions on an exponentially graded mesh
In this article, we construct a numerical method to solve a two-parameter singularly perturbed problem in two dimensions on a tensor product mesh of...
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Intermediate dimensions under self-affine codings
Intermediate dimensions were recently introduced by Falconer et al. (Math Z 296:813–830, 2020) to interpolate between the Hausdorff and box-counting...
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Constrained many-to-many point matching in two dimensions
In the minimum-weight many-to-many point matching problem, we are given a set R of red points and a set B of blue points in the plane, of total size N ...
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Dimensions
Let F be a nonarchimedean local field of characteristic zero. Let...
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Generalized Dimensions and Dynamics
Recent findings of the dynamics of pure point operators are presented, with emphasis on generic behaviors. The underlying technicalities are related...