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Large-scale Monte Carlo simulations, together with scaling, are used to obtain the critical behavior of the Hastings long-range model and two corresponding models based on small-world networks. These models have combined short- and…

材料科学 · 物理学 2007-05-23 X. Zhang , M. A. Novotny

Molecular dynamics refers to the computer simulation of a material at the atomic level. An open problem in numerical analysis is to explain the apparent reliability of molecular dynamics simulations. The difficulty is that individual…

数值分析 · 数学 2015-05-13 P. F. Tupper

Correlations in photodetection signals from quantum light sources are conventionally calculated by application of the source master equation and the quantum regression theorem. In this article we show how the conditioned dynamics,…

量子物理 · 物理学 2015-12-09 Qing Xu , Eliska Greplova , Brian Julsgaard , Klaus Mølmer

Multivariate spatial-statistical models are often used when modeling environmental and socio-demographic processes. The most commonly used models for multivariate spatial covariances assume both stationarity and symmetry for the…

统计方法学 · 统计学 2021-05-11 Quan Vu , Andrew Zammit-Mangion , Noel Cressie

Correlations and other collective phenomena in a schematic model of heterogeneous binary agents (individual spin-glass samples) are considered on the complete graph and also on 2d and 3d regular lattices. The system's stochastic dynamics is…

无序系统与神经网络 · 物理学 2014-02-25 Imre Kondor , István Csabai , Gábor Papp , Enys Mones , Gábor Czimbalmos , Máté Csaba Sándor

Measuring comodules are defined and shown to provide a useful generalization of the set of maps between modules with a broad range of applications. Three applications are described. Connections on bundles are described in terms of measuring…

微分几何 · 数学 2007-05-23 Marjorie Batchelor

Cross-correlations between datasets are used in many different contexts in cosmological analyses. Recently, $k$-Nearest Neighbor Cumulative Distribution Functions ($k{\rm NN}$-${\rm CDF}$) were shown to be sensitive probes of cosmological…

宇宙学与河外天体物理 · 物理学 2021-04-28 Arka Banerjee , Tom Abel

Coverage and connectivity both are important in wireless sensor network (WSN). Coverage means how well an area of interest is being monitored by the deployed network. It depends on sensing model that has been used to design the network…

信息论 · 计算机科学 2014-06-06 Ashraf Hossain , Rashmita Mishra

Network theory provides various tools for investigating the structural or functional topology of many complex systems found in nature, technology and society. Nevertheless, it has recently been realised that a considerable number of systems…

数据分析、统计与概率 · 物理学 2012-03-23 Jonathan F. Donges , Hanna C. H. Schultz , Norbert Marwan , Yong Zou , Juergen Kurths

Analyzing ecological data often requires modeling the autocorrelation created by spatial and temporal processes. Many of the statistical methods used to account for autocorrelation can be viewed as regression models that include basis…

Cross-match spatially clusters and organizes several astronomical point-source measurements from one or more surveys. Ideally, each object would be found in each survey. Unfortunately, the observation conditions and the objects themselves…

数据库 · 计算机科学 2007-05-23 Jim Gray , Alex Szalay , Tamas Budavari , Robert Lupton , Maria Nieto-Santisteban , Ani Thakar

Visbal & Loeb (2010) have shown that it is possible to measure the clustering of galaxies by cross correlating the cumulative emission from two different spectral lines which originate at the same redshift. Through this cross correlation,…

宇宙学与河外天体物理 · 物理学 2015-05-28 Eli Visbal , Hy Trac , Abraham Loeb

In recent years, networks with higher-order interactions have emerged as a powerful tool to model complex systems. Comparing these higher-order systems remains however a challenge. Traditional similarity measures designed for pairwise…

物理与社会 · 物理学 2026-02-24 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat

Chromosomal crossovers play a crucial role in meiotic cell division, as they ensure proper chromosome segregation and increase genetic variability. Experiments have consistently revealed two key observations across species: (i) the number…

生物物理 · 物理学 2025-09-12 Marcel Ernst , Riccardo Rossetto , David Zwicker

An important goal across most scientific fields is the discovery of causal structures underling a set of observations. Unfortunately, causal discovery methods which are based on correlation or mutual information can often fail to identify…

计算机视觉与模式识别 · 计算机科学 2021-04-29 Matthew J. Vowels , Necati Cihan Camgoz , Richard Bowden

We develop sampling algorithms to fit Bayesian hierarchical models, the computational complexity of which scales linearly with the number of observations and the number of parameters in the model. We focus on crossed random effect and…

统计计算 · 统计学 2025-01-03 Omiros Papaspiliopoulos , Timothée Stumpf-Fétizon , Giacomo Zanella

This paper presents analytical expressions for the signal-to-interference ratio (SIR) and the spectral efficiency in macrocellular networks with massive MIMO conjugate beamforming, both with a uniform and a channel-dependent power…

信息论 · 计算机科学 2019-04-24 Geordie George , Angel Lozano , Martin Haenggi

Symmetries are widespread in physical, technological, biological, and social systems and networks, including power grids. The swing equation is a classic model for the dynamics of powergrid networks. The main goal of this paper is to…

系统与控制 · 电气工程与系统科学 2021-07-26 Kshitij Bhatta , Majeed Hayat , Francesco Sorrentino

The use of drone base stations to provide wireless connectivity for ground terminals is becoming a promising part of future technologies. The design of such aerial networks is however different compared to cellular 2D networks, as antennas…

网络与互联网体系结构 · 计算机科学 2018-06-29 Mohammad Mahdi Azari , Yuri Murillo , Osama Amin , Fernando Rosas , Mohamed-Slim Alouini , Sofie Pollin

The use of cross-diffusion systems as mathematical models of different image processes is investigated. The present paper is concerned with linear filtering. First, those systems satisfying the most important scale-space properties are…

偏微分方程分析 · 数学 2017-02-21 A. Araujo , S. Barbeiro , E. Cuesta , A. Duran