Results 61 to 70 of about 2,041 (214)

Renormalization techniques for inflation systems and some of their applications

Acta Crystallographica Section A, Volume 82, Issue 4, Page 294-304, July 2026.
In this work, renormalization methods for quantities related to the diffraction of inflation systems are surveyed.Exact renormalization techniques are important and powerful, particularly for inflation‐generated systems. We review recent results in this direction.
Michael Baake, Franz Gähler, Anna Klick, Neil Mañibo, Jan Mazáč   +4 more
wiley   +1 more source

Proof of an inequality for trigonometric polynomials [PDF]

Proceedings of the American Mathematical Society, 1974
Let a trigonometric polynomial have only real roots. An inequality is proved, relating the average value of the trigonometric polynomial between two consecutive roots to its maximal absolute value.
openaire   +1 more source

Automated Bandwidth Selection for Inference in Linear Models With Time‐Varying Coefficients

Journal of Time Series Analysis, Volume 47, Issue 4, Page 854-875, July 2026.
ABSTRACT The problem of selecting the smoothing parameter, or bandwidth, for kernel‐based estimators of time‐varying coefficients in linear models with possibly endogenous explanatory variables is considered. We examine automated bandwidth selection by means of cross‐validation, a nonparametric variant of Akaike's information criterion, and bootstrap ...
Charisios Grivas, Zacharias Psaradakis
wiley   +1 more source

Generalised spin Calogero–Moser systems from Cherednik algebras

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Integrable spin Calogero–Moser type systems with non‐symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko and Veselov in 1999. We obtain various generalisations of these examples by making use of the representation theory of Cherednik algebras.
Misha Feigin, Mikhail Vasilev, Martin Vrabec   +2 more
wiley   +1 more source

Quantitative asymptotics for polynomial patterns in the primes

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen, Joni Teräväinen, Mengdi Wang   +2 more
wiley   +1 more source

Upscaling the Strength Domain of Heterogeneous Cohesive‐Frictional Materials via a General FFT‐Based Limit Analysis Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.
ABSTRACT Limit analysis and yield design provide a well‐defined mathematical framework for upscaling the strength properties of heterogeneous materials. These techniques can be incorporated into an FFT‐based computational micromechanics framework to evaluate the strength of heterogeneous materials, based on images of their microstructure.
Elodie Donval, Matti Schneider
wiley   +1 more source

Anti-Gaussian quadrature rule for trigonometric polynomials

, 2019
We investigate an anti-Gaussian quadrature rule with maximal trigonometric degree of exactness with respect to an even weight function on [π, π). Its error is equal in magnitude but of opposite sign to corresponding Gaussian formula.
Petrovic, Nevena, Stanić, Marija, Tomović, Tatjana   +2 more
core   +2 more sources

Trigonometric Polynomial Interpolation of Images [PDF]

Image Processing On Line, 2019
For 1D and 2D signals, the Shannon-Whittaker interpolation with periodic extension can be formulated as a trigonometric polynomial interpolation (TPI). In this work, we describe and discuss the theory of TPI of images and some of its applications. First, the trigonometric polynomial interpolators of an image are characterized and it is shown that there
openaire   +2 more sources

Developing a Heterogeneous Attenuation Model for Fiber Reinforced Thermoplastic Composites in the Kilohertz Region of the Ultrasonic Spectrum

Polymer Composites, Volume 47, Issue S2, Page S85-S95, 20 June 2026.
Acquisition, filtering and modeling by genetic programming (tree pattern) of the acoustic signal for fiber‐filled composites. ABSTRACT This study experimentally investigated the discrete phase contributions of fibers and entrapped air on the attenuation spectrum of a fiber‐filled thermoplastic composite and derives a mathematical expression for sound ...
Austin D. Bedrosian, Andrew Hrymak, Gisela Lanza, Michael R. Thompson   +3 more
wiley   +1 more source

A note on some extremal problems for trigonometric polynomials [PDF]

n.a.
Dette, Holger, Melas, Viatcheslav B.
core