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Interpolation on the cubed sphere with spherical harmonics
We consider Lagrange interpolation with Spherical Harmonics of data located at the equiangular Cubed Sphere nodes. An approach based on a suitable...
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Asymptotical Separation of Harmonics by Singular Spectrum Analysis
AbstractThe paper is devoted to studying the sufficient conditions for the asymptotical separability of distinct terms in the linear combination of...
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On the Correlation of Critical Points and Angular Trispectrum for Random Spherical Harmonics
We prove a Central Limit Theorem for the critical points of random spherical harmonics, in the high-energy limit. The result is a consequence of a...
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On the Asymptotical Separation of Linear Signals from Harmonics by Singular Spectrum Analysis
AbstractThe general theoretical approach to the asymptotic extraction of the signal series from the additively perturbed signal with the help of...
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Relations between Spheroidal Harmonics and the Rayleigh Approximation for Multilayered Nonconfocal Spheroids
Relations between Laplace’s spheroidal harmonics associated with different spheroidal coordinates are derived. The transition matrices for the...
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The Newton polytope and Lorentzian property of chromatic symmetric functions
Chromatic symmetric functions are well-studied symmetric functions in algebraic combinatorics that generalize the chromatic polynomial and are...
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Combinatorics of the Diagonal Harmonics
The Shuffle Theorem, recently proven by Carlsson and Mellit, states that the bigraded Frobenius characteristic of the diagonal harmonics is equal to...
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On the T-Matrix in the Electrostatic Problem for the Spheroidal Particle with a Spherical Core
A solution to the electrostatic problem for the spheroidal particle with a spherical core is constructed. To involve the problem geometry in a full...
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On the Stability of a Central Difference Scheme with a Stabilizing Correction for the 3D Transport Equation
AbstractIt is generally accepted that the central differences scheme with a stabilizing correction for the transport equation in the 3D case is...
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Celebrating Loday’s associahedron
We survey Jean-Louis Loday’s vertex description of the associahedron, and its far reaching influence in combinatorics, discrete geometry, and...
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Strict Positive Definiteness of Convolutional and Axially Symmetric Kernels on d-Dimensional Spheres
The paper introduces new sufficient conditions of strict positive definiteness for kernels on d -dimensional spheres which are not radially symmetric...
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On Robustly Convergent and Efficient Iterative Methods for Anisotropic Radiative Transfer
This paper considers the iterative solution of linear systems arising from discretization of the anisotropic radiative transfer equation with...
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Maximality of Laplacian algebras, with applications to Invariant Theory
We show Laplacian algebras are maximal, and give applications to the Classical Invariant Theory of real orthogonal representations of compact groups,...
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Modeling the Buck Converter from Measurements of Its Harmonic Transfer Function
Buck converters are DC-DC converters which provide a step-down of the input voltage produced by the supply to the output voltage delivered to the...
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Compressed Sensing in the Spherical Near-Field to Far-Field Transformation
A way to improve the measurement speed of spherical near-field antenna measurements is by reducing the number of acquisition samples, since the...
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On the nodal structures of random fields: a decade of results
We survey a decade worth of work pertaining to the nodal structures of random fields, with emphasis on the transformative techniques that shaped the...
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Mathematical Substantiation of Pulsed Electromagnetic Soundings for New Problems of Petroleum Geophysics
AbstractThis paper is devoted to the development of a fundamental theory and the creation of algorithms and software for pulsed electromagnetic...
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Bifractional Brownian Motions on Metric Spaces
Fractional and bifractional Brownian motions can be defined on a metric space if the associated metric or distance function is conditionally negative...
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Convergence Bounds for Parareal with Spatial Coarsening
In the times of exascale computing, very efficient algorithms for space parallelism exist and communication between processors has become a...