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Detrended fluctuation analysis (DFA) has been proposed as a robust technique to determine possible long-range correlations in power-law processes [1]. However, recent studies have reported the susceptibility of DFA to trends [2] which give…

统计力学 · 物理学 2007-05-23 Radhakrishnan Nagarajan , Rajesh G. Kavasseri

The frequency distributions of sizes and fluxes of supra-arcade downflows (SADs) provide information about the process of their creation. For example, a fractal creation process may be expected to yield a power-law distribution of sizes…

太阳与恒星天体物理 · 物理学 2011-06-24 David E. McKenzie , Sabrina L. Savage

Statistical properties of an order book and the effect they have on price dynamics were studied using the high-frequency NASDAQ Level II data. It was observed that the size distribution of marketable orders (transaction sizes) has power law…

统计力学 · 物理学 2009-11-07 Sergei Maslov , Mark Mills

Patterns of deliberate human activity and behavior are of utmost importance in areas as diverse as disease spread, resource allocation, and emergency response. Because of its widespread availability and use, e-mail correspondence provides…

物理与社会 · 物理学 2009-01-08 R. Dean Malmgren , Daniel B. Stouffer , Adilson E. Motter , Luis A. N. Amaral

Long-range correlation in financial time series reflects the complex dynamics of the stock markets driven by algorithms and human decisions. Our analysis exploits ultra-high frequency order book data from NASDAQ Nordic over a period of…

交易与市场微观结构 · 定量金融 2017-11-10 Martin Magris , Jiyeong Kim , Esa Rasanen , Juho Kanniainen

We analyse with simple real-space statistics the Virgo consortium's cosmological N-body simulations. Significant clustering rapidly develops well below the initial mean interparticle separation \Lambda_i, where the gravitational force on a…

天体物理学 · 物理学 2009-11-07 Thierry Baertschiger , Michael Joyce , Francesco Sylos Labini

Fluctuation scaling is observed phenomenon from complex networks through finance to ecology. It means that the variance and the mean of a specific quantity are related as $\ev{\sigma^2|n}\propto \ev{n|A}^{2\alpha}$ with $1/2\geq \alpha \geq…

物理与社会 · 物理学 2008-12-02 Zoltan Eisler , Janos Kertesz

We study the time correlation function of a density field in two-dimensional driven diffusive systems within the framework of fluctuating hydrodynamics. It is found that the time correlation exhibits power-law behavior in an intermediate…

统计力学 · 物理学 2009-03-02 Takenobu Nakamura , Michio Otsuki , Shin-ichi Sasa

Recently increased accessibility of large-scale digital records enables one to monitor human activities such as the interevent time distributions between two consecutive visits to a web portal by a single user, two consecutive emails sent…

物理与社会 · 物理学 2009-11-13 N. Masuda , J. S. Kim , B. Kahng

It has been discovered recently that many social, biological and ecological systems have the so-called small-world and scale-free features, which has provoked new research interest in the studies of various complex networks. Yet, most…

无序系统与神经网络 · 物理学 2007-05-23 Chunguang Li , Guanrong Chen

There is an abundance of literature on complex networks describing a variety of relationships among units in social, biological, and technological systems. Such networks, consisting of interconnected nodes, are often self-organized,…

适应与自组织系统 · 物理学 2011-08-18 Paul J. Laurienti , Karen E. Joyce , Qawi K. Telesford , Jonathan H. Burdette , Satoru Hayasaka

The structure of the turbulence-driven power fluctuations in a wind farm is fundamentally described from basic concepts. A derived tuning-free model, supported with experiments, reveals the underlying spectral content of the power…

数据分析、统计与概率 · 物理学 2018-01-22 Huiwen Liu , Yaqing Jin , Nicloas Tobin , Leonardo P. Chamorro

The purpose of this communication is twofold. First, it clarifies the origin of the power law obtained in the computer simulations presented in A.-L. Barabasi, Nature 435 207-211 (2005) as well as presenting a statistically more sound…

物理与社会 · 物理学 2007-05-23 Anders Johansen

We review recent results on the appearance of long-term persistence in climatic records and their relevance for the evaluation of global climate models and rare events.The persistence can be characterized, for example, by the correlation…

Many recent large-scale studies of interaction networks have focused on networks of accumulated contacts. In this paper we explore social networks of ongoing relationships with an emphasis on dynamical aspects. We find a distribution of…

无序系统与神经网络 · 物理学 2009-11-10 Petter Holme

If one analyzes the effects of electromagnetic vacuum fluctuations upon an electron interference pattern in an approximation in which the electrons follow classical trajectories, an ultraviolet divergence results. It is shown that this…

量子物理 · 物理学 2009-10-30 L. H. Ford

The angular and frequency correlation functions of the transmission coefficient for light propagation through a strongly scattering amplifying medium are considered. It is found that just as in the case of an elastic scattering medium the…

介观与纳米尺度物理 · 物理学 2009-10-31 A. A. Burkov , A. Yu. Zyuzin

Web requests are growing exponentially since the 90s due to the rapid development of the Internet. This process was further accelerated by the introduction of cloud services. It has been observed statistically that memory or web requests…

数据结构与算法 · 计算机科学 2024-01-15 Mathieu Mari , Anish Mukherjee , Runtian Ren , Piotr Sankowski

About two million U.S. corporations and partnerships are linked to each other and human investors by about 15 million owner-subsidiary links. Comparable social networks such as corporate board memberships and socially-built systems such as…

综合经济学 · 经济学 2024-01-23 Ben Klemens

We discuss the estimation of galaxy correlation properties in several volume limited samples, in different sky regions, obtained from the Fourth Data Release of the Sloan Digital Sky Survey. The small scale properties are characterized…

天体物理学 · 物理学 2009-03-19 Francesco Sylos Labini , Nickolay L. Vasilyev , Yurij V. Baryshev