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We obtain the statistics of the intensity, transmission and conductance for scalar electromagnetic waves propagating through a disordered collection of scatterers. Our results show that the probability distribution for these quantities, x,…

无序系统与神经网络 · 物理学 2007-05-23 Gabriel A. Cwilich , Fredy R. Zypman

This paper focuses on the comparison of networks on the basis of statistical inference. For that purpose, we rely on smooth graphon models as a nonparametric modeling strategy that is able to capture complex structural patterns. The graphon…

统计方法学 · 统计学 2025-05-21 Benjamin Sischka , Göran Kauermann

Within the scattering matrix approach to electronic transport, the scattering and transport properties of tight-binding random graphs are analyzed. In particular, we compute the scattering matrix elements, the transmission, the…

无序系统与神经网络 · 物理学 2023-10-09 A. M. Martínez-Argüello , K. B. Hidalgo-Castro , J. A. Méndez-Bermúdez

With the goal of enabling ultrareliable and low-latency wireless communications for industrial internet of things (IIoT), this paper studies the use of energy-based modulations in noncoherent massive single-input multiple-output (SIMO)…

信息论 · 计算机科学 2024-06-19 Marc Vilà-Insa , Aniol Martí , Jaume Riba , Meritxell Lamarca

We study nonparametric methods for the setting where multiple distinct networks are observed on the same set of nodes. Such samples may arise in the form of replicated networks drawn from a common distribution, or in the form of…

统计方法学 · 统计学 2020-01-15 Swati Chandna , Pierre-Andre Maugis

We report on experimental evidence of directed electron transport, induced by external linear-polarized microwave irradiation, in a two-dimensional spatially-periodic asymmetrical system called ratchet. The broken spatial symmetry was…

介观与纳米尺度物理 · 物理学 2009-11-13 S. Sassine , Yu. Krupko , J. -C. Portal , Z. D. Kvon , R. Murali , K. P. Martin , G. Hill , A. D. Wieck

The edges in networks are not only binary, either present or absent, but also take weighted values in many scenarios (e.g., the number of emails between two users). The covariate-$p_0$ model has been proposed to model binary directed…

统计理论 · 数学 2021-07-24 MengXu , Qiuping Wang

Given a random sample extracted from a Multivariate Bernoulli Variable (MBV), we consider the problem of estimating the structure of the undirected graph for which the distribution is pairwise Markov and the parameters' vector of its…

统计方法学 · 统计学 2024-11-26 Daniela De Canditiis

In this paper, the statistical properties of the product of independent and non-identically distributed mixture Gamma (MG) random variables (RVs) are provided first. Specifically, simple exact closed-form expressions for the probability…

信息论 · 计算机科学 2023-03-07 Hussien Al-Hmood , Rafed Sabbar Abbas , H. S. Al-Raweshidy

In this paper we extend to two-dimensional data two recently introduced one-dimensional compressibility measures: the $\gamma$ measure defined in terms of the smallest string attractor, and the $\delta$ measure defined in terms of the…

数据结构与算法 · 计算机科学 2024-05-21 Lorenzo Carfagna , Giovanni Manzini

This paper is devoted to the algorithmic development of inverse elastic scattering problems. We focus on reconstructing the locations and shapes of elastic scatterers with known dictionary data for the nearly incompressible materials. The…

偏微分方程分析 · 数学 2017-11-02 Li Jingzhi , Liu Hongyu , Sun Hongpeng

Let $(X,\mathcal{R})$ be a commutative association scheme and let $\Gamma=(X,R\cup R^\top)$ be a connected undirected graph where $R\in \mathcal{R}$. Godsil (resp., Brouwer) conjectured that the edge connectivity (resp., vertex…

组合数学 · 数学 2017-09-25 Brian G. Kodalen , William J. Martin

We investigate the statistical properties of the scattering matrix $S$ describing the electron transport through quasi-one dimensional disordered systems. For weak disorder (metallic regime), the energy dependence of the phase shifts of $S$…

介观与纳米尺度物理 · 物理学 2009-10-30 E. R. Mucciolo , R. A. Jalabert , J. -L. Pichard

Dynamic and steady state aspects of wave propagation are deeply connected in lossless open systems in which the scattering matrix is unitary. There is then an equivalence among the energy excited within the medium, the Wigner time delay,…

无序系统与神经网络 · 物理学 2021-06-25 Yiming Huang , Yuhao Kang , Azriel Z. Genack

Random geometric graphs consist of randomly distributed nodes (points), with pairs of nodes within a given mutual distance linked. In the usual model the distribution of nodes is uniform on a square, and in the limit of infinitely many…

无序系统与神经网络 · 物理学 2018-09-27 Carl P. Dettmann

An accurate and efficient numerical simulation approach to electromagnetic wave scattering from two-dimensional, randomly rough, penetrable surfaces is presented. The use of the M\"uller equations and an impedance boundary condition for a…

光学 · 物理学 2010-06-03 Ingve Simonsen , Alexei A. Maradudin , Tamara A. Leskova

Statistical fluctuations in the eigenvalues of the scattering, impedance and admittance matrices of 2-Port wave-chaotic systems are studied experimentally using a chaotic microwave cavity. These fluctuations are universal in that their…

无序系统与神经网络 · 物理学 2009-09-15 Sameer Hemmady , Xing Zheng , James Hart , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

Upon a matrix representation of a binary bipartite network, via the permutation invariance, a coupling geometry is computed to approximate the minimum energy macrostate of a network's system. Such a macrostate is supposed to constitute the…

应用统计 · 统计学 2018-02-02 Jiahui Guan , Hsieh Fushing

Twisted van der Waals materials provide a tunable platform for investigating two-dimensional superconductivity and quantum phases. Using spectra-imaging scanning tunneling microscopy, we study the superconducting states in twisted bilayer…

The effective Hamiltonian formalism is extended to vectorial electromagnetic waves in order to describe statistical properties of the field in reverberation chambers. The latter are commonly used in electromagnetic compatibility tests. As a…

介观与纳米尺度物理 · 物理学 2016-03-09 J. -B. Gros , U. Kuhl , O. Legrand , F. Mortessagne