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We derive from first principles an accurate homogenized description of periodic metamaterials made of magnetodielectric inclusions, highlighting and overcoming relevant limitations of standard homogenization methods. We obtain closed-form…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Andrea Alu

A 3-parametric two-sided deformation of Heisenberg algebra (HA), with p,q-deformed commutator in the l.h.s. of basic defining relation and certain deformation of its r.h.s., is introduced and studied. The third deformation parameter \mu…

Mathematical Physics · Physics 2012-07-04 A. M. Gavrilik , I. I. Kachurik

Among several ideas which arose as consequences of modular localization there are two proposals which promise to be important for the classification and construction of QFTs. One is based on the observation that wedge-localized algebras may…

High Energy Physics - Theory · Physics 2008-11-26 Bert Schroer

In this paper we present criteria for the choice of the shape parameter c contained in the famous radial function multiquadric. It may be of interest to RBF people and all people using radial basis functions to do approximation.

Numerical Analysis · Mathematics 2019-02-15 Lin-Tian Luh

A new method is proposed for fitting non-relativistic binary-scattering data and for extracting the parameters of possible quantum resonances in the compound system that is formed during the collision. The method combines the well-known…

Quantum Physics · Physics 2025-04-17 P. Vaandrager , M. L. Lekala , S. A. Rakityansky

For a given discrete decomposable graphical model, we identify several alternative parametrizations, and construct the corresponding reference priors for suitable groupings of the parameters. Specifically, assuming that the cliques of the…

Statistics Theory · Mathematics 2007-07-27 Guido Consonni , Hélène Massam

The method of group quantization described in the preceeding paper I is extended so that it becomes applicable to some parametrized systems that do not admit a global transversal surface. A simple completely solvable toy system is studied…

General Relativity and Quantum Cosmology · Physics 2010-11-01 P. Hajicek , A. Higuchi , J. Tolar

This paper presents a spline-based parameterisation framework for plane graphs. The plane graph is characterised by a collection of curves forming closed loops that fence-off planar faces which have to be parameterised individually. Hereby,…

Numerical Analysis · Mathematics 2024-09-02 Jochen Hinz

In this paper, we study half-densities enhancing the multiplication map on a symplectic groupoid and which satisfy a suitable associativity condition. This is structurally motivated by the expected complete semiclassical-analytic…

Symplectic Geometry · Mathematics 2026-05-21 Alejandro Cabrera , Gabriel Gonzalo Ledesma Valenotti

This paper proposes a regularized pairwise difference approach for estimating the linear component coefficient in a partially linear model, with consistency and exact rates of convergence obtained in high dimensions under mild scaling…

Statistics Theory · Mathematics 2018-01-15 Fang Han , Zhao Ren , Yuxin Zhu

We extend the dipole formalism for massless and massive partons to random polarisations of the external partons. The dipole formalism was originally formulated for spin-summed matrix elements and later extended to individual helicity…

High Energy Physics - Phenomenology · Physics 2013-05-30 Daniel Goetz , Christopher Schwan , Stefan Weinzierl

This letter is an investigation of the pion form factor utilizing recently developed effective field theory techniques. The primary results reported are: Both the transition and electromagnetic form factors are corrected at order…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ira Z. Rothstein

Solving semiparametric models can be computationally challenging because the dimension of parameter space may grow large with increasing sample size. Classical Newton's method becomes quite slow and unstable with intensive calculation of…

Computation · Statistics 2021-08-19 Yucong Lin , Jinhua Su , Yang Liu , Jue Hou , Feifei Wang

Statisticians increasingly face the problem to reconsider the adaptability of classical inference techniques. In particular, divers types of high-dimensional data structures are observed in various research areas; disclosing the boundaries…

Statistics Theory · Mathematics 2017-06-09 Paavo Sattler , Markus Pauly

Using modifications of Lindeberg's interpolation technique, I propose a new identification-robust test for the structural parameter in a heteroskedastic instrumental variables model. While my analysis allows the number of instruments to be…

Econometrics · Economics 2024-12-17 Manu Navjeevan

Explicit harmonic and wave maps are typically available only in highly symmetric or constant-curvature settings, where additional symmetry or integrability structures are present. We develop a reduction framework for pseudo-Riemannian…

Differential Geometry · Mathematics 2026-05-28 Anestis Fotiadis , Giannis Polychrou

There is currently a high demand for theoretical predictions for processes at next-to-next-to-leading order (NNLO) and beyond, mainly due to the large amount of data which has already been collected at LHC. This requires practical methods…

High Energy Physics - Theory · Physics 2022-07-06 B. Z. Felippe , A. P. Baêta Scarpelli , A. R. Vieira , J. C. C. Felipe

We define a hyperbolic renormalizations suitable for maps of small determinant, with uniform bounds for large periods. The techniques involve an improvement of the celebrated Palis-Takens renormalization and normal forms (fibered…

Dynamical Systems · Mathematics 2014-04-09 Pierre Berger

This work addresses more to the technical rather than to the physical problem, how to calculate analytically the form factor $F(Q)$, the associated mean-square radius $<r^2>$, and the distribution function $\Phi(x,Q^2)$ for a given…

High Energy Physics - Phenomenology · Physics 2016-09-06 Hans-Christian Pauli

Topological properties of solid states have sparked considerable recent interest due to their importance in the physics of lattices with a non-trivial basis and their potential in the design of novel materials. Here we describe an…

Applied Physics · Physics 2020-02-19 Henning U. Voss , Douglas J. Ballon
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