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Binary decision theory has been applied to the general interferometric problem. Optimal detection scheme-according to the Neyman-Pearson criterion-has been considered for different phase-enhanced states of radiation field, and the…

量子物理 · 物理学 2016-09-08 Matteo G. A. Paris

Roughening of interfaces implies the divergence of the interface width $w$ with the system size $L$. For two-dimensional systems the divergence of $w^2$ is linear in $L$. In the framework of a detailed capillary wave approximation and of…

统计力学 · 物理学 2021-03-16 Gernot Münster , Manuel Cañizares Guerrero

The procedure to find gauge invariant variables for two-parameter nonlinear perturbations in general relativity is considered. For each order metric perturbation, we define the variable which is defined by the appropriate combination with…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Kouji Nakamura

In this paper, we discuss problems arising when computing resonances with a finite element method. In the pre-asymptotic regime, we detect for the one dimensional case, spurious solutions in finite element computations of resonances when…

数值分析 · 数学 2017-04-11 Juan Carlos Araujo-Cabarcas , Christian Engström

Stubbed plates, i.e., thin elastic sheets endowed with pillar-like resonators, display subwavelength, locally-resonant bandgaps that are primarily controlled by the intrinsic resonance properties of the pillars. In this work, we…

材料科学 · 物理学 2020-06-30 Paolo Celli , Behrooz Yousefzadeh , Chiara Daraio , Stefano Gonella

Considered two linear regression models of a given response variable with some predictor set and its subset. It is shown that there is a linear relationship between coefficients of these models. Some corollaries of the proved theorem is…

统计理论 · 数学 2011-09-15 V. G. Panov

In this work, we investigate resonance and antiresonance behaviour in forced coupled Duffing oscillators with nonlinear damping. Further, we will analyse the parameter dependence of the frequency response and stability. In the course of all…

混沌动力学 · 物理学 2019-09-26 Ankan Pandey

Collinear laser spectroscopy of fast atomic beams has been established as one of the main tools to perform precision experiments with atoms containing short-lived nuclei. Although highly sensitive, the spectral resolution of these…

原子物理 · 物理学 2023-01-25 Jovan Jovanovic , Ronald Fernando Garcia Ruiz

It is proved that the width of a function and the width of the distribution of its values cannot be made arbitrarily small simultaneously. In the case of ergodic stochastic processes, an ensuing uncertainty relationship is demonstrated for…

Time-harmonic far-field source array imaging in a two-dimensional waveguide is analyzed. A low-frequency situation is considered in which the diameter of the waveguide is slightly larger than the wavelength, so that the waveguide supports a…

偏微分方程分析 · 数学 2020-12-02 Josselin Garnier

In this article, we investigate the effects of the interplay between quadratic and cubic nonlinearities on the propagation of elastic waves in periodic waveguides. Through this framework, we unveil an array of wave control strategies that…

斑图形成与孤子 · 物理学 2019-05-31 Weijian Jiao , Stefano Gonella

We investigate the nonlinear equations governing wave propagation across a metamaterial consisting of a cellular periodic structure hosting resonators with linear and cubic springs. The resulting system of two coupled equations with cubic…

动力系统 · 数学 2025-03-18 Laura Di Gregorio , Walter Lacarbonara

The problem of identifying the most discriminating features when performing supervised learning has been extensively investigated. In particular, several methods for variable selection in model-based classification have been proposed.…

应用统计 · 统计学 2020-12-16 Andrea Cappozzo , Francesca Greselin , Thomas Brendan Murphy

Additive or multiplicative stationary noise recently became an important issue in applied fields such as microscopy or satellite imaging. Relatively few works address the design of dedicated denoising methods compared to the usual white…

计算机视觉与模式识别 · 计算机科学 2013-07-18 Jérôme Fehrenbach , Pierre Weiss

It is shown that the single-step periodic signal (periodic telegraph signal) can not produce coherent stochastic resonance for diffusion on a segment with one absorbing and one reflecting end points while the multi-step periodic signal…

统计力学 · 物理学 2007-05-23 Asish K. Dhara , Tapan Mukhopadhya

In the framework of the signal processing approach to single-atom resonance fluorescence with spectral resolution, we diagrammatically derive an analytical formula for arbitrary-order spectral correlation functions of the scattered fields…

量子物理 · 物理学 2016-09-21 Vyacheslav N. Shatokhin , Sergei Ya. Kilin

We examine the effect of inhomogeneous broadening on the collective response of a planar metamaterial consisting of asymmetric split ring resonators. We show that such a response leads to a transmission resonance that can persist when the…

光学 · 物理学 2012-12-11 Stewart D. Jenkins , Janne Ruostekoski

A mathematical model describing the initial stage of the capture of oscillatory systems into autoresonance under the action of slowly varying pumping is considered. Solutions with an infinitely growing amplitude are associated with the…

数学物理 · 物理学 2017-02-07 Oskar Sultanov

The two-dimensional Hubbard model at finite doping hosts competing or intertwined orders, resulting in conflicting conclusions from different computational approaches regarding its ground state. We show that a key source of such…

This Letter presents an investigation on the effects of mutual coupling in a metamaterial comprising two sets of electric-LC (ELC) resonators with different resonance frequencies. Through simulation and experiment, it is found that the two…

光学 · 物理学 2011-09-02 Withawat Withayachumnankul , Christophe Fumeaux , Derek Abbott