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相关论文: Universality of rain event size distributions

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Election data represent a precious source of information to study human behavior at a large scale. In proportional elections with open lists, the number of votes received by a candidate, rescaled by the average performance of all…

物理与社会 · 物理学 2013-01-25 Arnab Chatterjee , Marija Mitrović , Santo Fortunato

Turbulence is generally associated with universal power-law spectra in scale ranges without significant drive or damping. Although many examples of turbulent systems do not exhibit such an inertial range, power-law spectra may still be…

流体动力学 · 物理学 2015-06-16 Vasil Bratanov , Frank Jenko , David Hatch , Michael Wilczek

We analyze about two hundred naturally occurring networks with distinct dynamical origins to formally test whether the commonly assumed hypothesis of an underlying scale-free structure is generally viable. This has recently been questioned…

In this paper the generalization of the Poisson distribution is derived for the case when each consecutive event changes event rate. A simple formula for the probability of observing of a given number of events for the selected period of…

数据分析、统计与概率 · 物理学 2014-01-06 E. A. Kushnirenko

Power law distributions of macroscopic observables are ubiquitous in both the natural and social sciences. They are indicative of correlated, cooperative phenomena between groups of interacting agents at the microscopic level. In this paper…

凝聚态物理 · 物理学 2009-11-07 P Ormerod , C Mounfield

A mass ejection model in a time-dependent random environment with both temporal and spatial correlations is introduced. When the environment has a finite correlation length, individual particle trajectories are found to diffuse at large…

混沌动力学 · 物理学 2012-03-28 Giorgio Krstulovic , Rehab Bitane , Jeremie Bec

Evidence of azimuthal asymmetries in the time structure and signal size has been found in non-vertical showers as a function of zenith angle. These asymmetries arise because of the different paths traveled by particles in the upper and…

天体物理学 · 物理学 2019-08-14 Maria Teresa Dova

Interevent times have been studied across various disciplines in search for correlations. In this paper we show analytical and numerical evidence that at the population level a power-law can be obtained by assuming poissonian agents with…

统计力学 · 物理学 2009-11-11 Cesar A. Hidalgo R

Extreme events have an important role which is sometime catastrophic in a variety of natural phenomena including climate, earthquakes and turbulence, as well as in man-made environments like financial markets. Statistical analysis and…

混沌动力学 · 物理学 2009-10-31 Victor S. L'vov , Anna Pomyalov , Itamar Procaccia

On the basis of the scaling approach and CORSIKA simulations data the radial scale factor of lateral distribution of electrons in extensive air showers is confirmed as potentially effective primary mass estimator, and its sensitivity to…

高能天体物理现象 · 物理学 2018-08-29 R. Raikin , T. Serebryakova , A. Lagutin , N. Volkov

We find that watersheds in real and artificial landscapes can be strongly affected by small, local perturbations like landslides or tectonic motions. We observe power-law scaling behavior for both the distribution of areas enclosed by the…

无序系统与神经网络 · 物理学 2011-02-01 E. Fehr , D. Kadau , J. S. Andrade , H. J. Herrmann

We present new theoretical and empirical results on the probability distributions of species persistence times in natural ecosystems. Persistence times, defined as the timespans occurring between species' colonization and local extinction…

种群与进化 · 定量生物学 2012-03-21 S. Suweis , E. Bertuzzo , L. Mari , I. Rodriguez-Iturbe , A. Maritan , A. Rinaldo

It is shown that the characteristics of the mesoscopic fluctuations in the conventional quantum-diffusion model and the model of the non-coherent (`classical') diffusion in media with long-range correlated disorder are quite similar in the…

凝聚态物理 · 物理学 2007-05-23 Igor V. Lerner

The properties of scale-free random trees are investigated using both preconditioning on non-extinction and fixed size averages, in order to study the thermodynamic limit. The scaling form of volume probability is found, the connectivity…

其他凝聚态物理 · 物理学 2009-11-10 Luca Donetti , Claudio Destri

Statistical models that include random effects are commonly used to analyze longitudinal and correlated data, often with strong and parametric assumptions about the random effects distribution. There is marked disagreement in the literature…

统计方法学 · 统计学 2012-01-11 Charles E. McCulloch , John M. Neuhaus

The number of free sites next to the end of a self-avoiding walk is known as the atmosphere. The average atmosphere can be related to the number of configurations. Here we study the distribution of atmospheres as a function of length and…

统计力学 · 物理学 2009-11-13 A. L. Owczarek , T. Prellberg

Aggregation of ice crystals is a key process governing precipitation. Individual ice crystals exhibit considerable diversity of shape, and a wide range of physical processes could influence their aggregation; despite this we show that a…

大气与海洋物理 · 物理学 2015-06-26 C. D. Westbrook , R. C. Ball , P. R. Field , A. J. Heymsfield

One measurement modality for rainfall is a fixed location rain gauge. However, extreme rainfall, flooding, and other climate extremes often occur at larger spatial scales and affect more than one location in a community. For example, in…

统计方法学 · 统计学 2024-05-02 Carlynn Fagnant , Julia C. Schedler , Katherine B. Ensor

I discuss the size distribution ${\cal N}(S)$ of avalanches occurring at the yielding transition of mean field (i.e., Hebraud-Lequeux) models of amorphous solids. The size distribution follows a power law dependence of the form: ${\cal…

统计力学 · 物理学 2015-10-21 E. A. Jagla

The concepts of variability and uncertainty, both epistemic and alleatory, came from experience and coexist with different connotations. Therefore this article attempts to express their relation by analytic means firstly setting sights on…

其他统计学 · 统计学 2013-01-15 Kalman Ziha