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The Numerical Assembly Technique is extended to investigate arbitrary planar frame structures with the focus on the computation of natural frequencies. This allows us to obtain highly accurate results without resorting to spatial…

Numerical Analysis · Mathematics 2022-04-26 Thomas Kramer , Michael Helmut Gfrerer

Making predictions in an unseen environment given data from multiple training environments is a challenging task. We approach this problem from an invariance perspective, focusing on binary classification to shed light on general nonlinear…

Methodology · Statistics 2024-07-08 Austin Goddard , Kang Du , Yu Xiang

We propose to homogenize a periodic (along one direction) structure, first in order to verify the quasi-static prediction of its response to an acoustic wave arising from mixing theory, then to address the question of what becomes of this…

Applied Physics · Physics 2018-03-14 Armand Wirgin

For models whose evolution takes place on a network it is often necessary to augment the mean-field approach by considering explicitly the degree dependence of average quantities (heterogeneous mean-field). Here we introduce the degree…

Statistical Mechanics · Physics 2015-05-13 Emanuele Pugliese , Claudio Castellano

Eclipsing binaries provide one of the most direct mechanisms for measuring stellar properties such as mass and radius, but historically, determining these properties has been non-trivial and computationally prohibitive. As such, only a…

Optical two-dimensional (2D) coherent spectroscopy excels in studying coupling and dynamics in complex systems. The dynamical information can be learned from lineshape analysis to extract the corresponding linewidth. However, it is usually…

Optics · Physics 2020-06-24 Srikanth Namuduri , Michael Titze , Shekhar Bhansali , Hebin Li

We propose a new method for determining the stochastic or ordered nature of trajectories in non-integrable Hamiltonian dynamical systems. The method consists of constructing a time-series from the divergence of nearby trajectories and then…

Chaotic Dynamics · Physics 2007-05-23 Ch. L. Vozikis , H. Varvoglis , K. Tsiganis

As we enter the era of gravitational wave astronomy, we are beginning to collect observations which will enable us to explore aspects of astrophysics of massive stellar binaries which were previously beyond reach. In this paper we describe…

High Energy Astrophysical Phenomena · Physics 2017-06-14 Jim W. Barrett , Ilya Mandel , Coenraad J. Neijssel , Simon Stevenson , Alejandro Vigna-Gomez

In this article we review a theoretical framework for pair production from strong external electromagnetic fields. We propose a numerical method to solve the resulting equations of motion and present results for both cases of spatially…

Plasma Physics · Physics 2012-07-19 Dániel Berényi , Péter Lévai , Vladimir Skokov

We consider a model of strong electroweak symmetry breaking in which the expectation value of an additional, possibly composite, scalar field is responsible for the generation of fermion masses. The dynamics of the strongly coupled sector…

High Energy Physics - Phenomenology · Physics 2015-03-13 Christopher D. Carone , Reinard Primulando

A numerical solution scheme for the Einstein field equations based on generalized harmonic coordinates is described, focusing on details not provided before in the literature and that are of particular relevance to the binary black hole…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Frans Pretorius

The paper considers a paired data framework and discuss the question of marginal homogeneity of bivariate high dimensional or functional data. The related testing problem can be endowed into a more general setting for paired random…

Methodology · Statistics 2021-05-04 Marc Ditzhaus , Daniel Gaigall

The constitutive characterization of the uniformity and homogeneity of binary elastic composites is presented in terms of a combination of the material groupoids of the individual constituents. The incorporation of these two groupoids…

Mathematical Physics · Physics 2021-05-04 Marcelo Epstein

The photonic crystal fiber (PCF) is one of the excellent media for generating photon pairs via spontaneous four wave mixing. Here we study how the inhomogeneity of PCFs affect the spectral properties of photon pairs from both the…

Quantum Physics · Physics 2015-06-04 Liang Cui , Xiaoying Li , Ningbo Zhao

Basic aspects of the background of gravitational waves and its mathematical characterization are reviewed. The spectral energy density parameter $\Omega(f)$, commonly used as a quantifier of the background, is derived for an ensemble of…

General Relativity and Quantum Cosmology · Physics 2011-10-05 Pablo A. Rosado

We present our models of the effect of binaries on high-resolution spectroscopic surveys. We want to determine how many binary stars will be observed, whether unresolved binaries will contaminate measurements of chemical abundances, and how…

Solar and Stellar Astrophysics · Physics 2018-08-22 Edita Stonkute , Ross P. Church , Sofia Feltzing , Jennifer A. Johnson

We introduce topological gauge fields as nontrivial field configurations enforced by topological currents. These fields crucially determine the form of statistical gauge fields that couple to matter and transmute their statistics. We…

Quantum Gases · Physics 2023-01-04 Gerard Valentí-Rojas , Aneirin J. Baker , Alessio Celi , Patrik Öhberg

We describe a scheme into which a camera is turned into an efficient tunable frequency filter of a few Hertz bandwidth in an off-axis, heterodyne optical mixing configuration, enabling to perform parallel, high-resolution coherent spectral…

Optics · Physics 2009-09-01 Michael Atlan , Michel Gross

Density (or state) dependent pair potentials arise naturally from coarse-graining procedures in many areas of condensed matter science. However, correctly using them to calculate physical properties of interest is subtle and cannot be…

Soft Condensed Matter · Physics 2007-05-23 A. A. Louis

The characterization of a binary function by partial frequency information is considered. We show that it is possible to reconstruct binary signals from incomplete frequency measurements via the solution of a simple linear optimization…

Information Theory · Computer Science 2012-04-19 Yu Mao