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We analyze the time series of the power loads of the 35 separated countries publicly sharing hourly data through ENTSO-E platform for more than 5 years. We apply the Multifractal Detrended Fluctuation Analysis for the demonstration of the…

Statistical Finance · Quantitative Finance 2017-06-05 Hynek Lavicka , Jiri Kracik

Bid-ask spread is taken as an important measure of the financial market liquidity. In this article, we study the dynamics of the spread return and the spread volatility of four liquid stocks in the Chinese stock market, including the memory…

Statistical Finance · Quantitative Finance 2015-05-30 Tian Qiu , Guang Chen , Li-Xin Zhong , Xiao-Run Wu

The so-called partition function is a sample moment statistic based on blocks of data and it is often used in the context of multifractal processes. It will be shown that its behaviour is strongly influenced by the tail of the distribution…

Methodology · Statistics 2013-10-02 Danijel Grahovac , Mofei Jia , Nikolai N. Leonenko , Emanuele Taufer

Intertrade duration of equities is an important financial measure characterizing the trading activities, which is defined as the waiting time between successive trades of an equity. Using the ultrahigh-frequency data of a liquid Chinese…

Statistical Finance · Quantitative Finance 2011-04-01 Yong-Ping Ruan , Wei-Xing Zhou

Detailed study of multifractal characteristics of the financial time series of asset values and of its returns is performed using a collection of the high frequency Deutsche Aktienindex data. The tail index ($\alpha$), the Renyi exponents…

Statistical Mechanics · Physics 2009-11-07 A. Z. Gorski , S. Drozdz , J. Speth

Long-term temporal correlations in time series in a form of an event sequence have been characterized using an autocorrelation function (ACF) that often shows a power-law decaying behavior. Such scaling behavior has been mainly accounted…

Data Analysis, Statistics and Probability · Physics 2024-08-14 Hang-Hyun Jo , Tibebe Birhanu , Naoki Masuda

The dynamics of many social, technological and economic phenomena are driven by individual human actions, turning the quantitative understanding of human behavior into a central question of modern science. Current models of human dynamics,…

Statistical Mechanics · Physics 2009-11-11 Albert-László Barabási

In this thesis we contribute to the understanding of the pivotal role of the temporal dimension in networked social systems, previously neglected and now uncovered by the data revolution recently blossomed in this field. To this aim, we…

Physics and Society · Physics 2016-08-15 Michele Starnini

In order to account for large variance and fat tail of damage by natural disaster, we study a simple model by combining distributions of disaster and population/property with their spatial correlation. We assume fat-tailed or power-law…

Physics and Society · Physics 2014-07-24 Hang-Hyun Jo , Yu-li Ko

The presence of large-scale real-world networks with various architectures has motivated an active research towards a unified understanding of diverse topologies of networks. Such studies have revealed that many networks with the scale-free…

Physics and Society · Physics 2023-08-16 Jun Yamamoto , Kousuke Yakubo

In the era of social media, every day billions of individuals produce content in socio-technical systems resulting in a deluge of information. However, human attention is a limited resource and it is increasingly challenging to consume the…

Physics and Society · Physics 2023-10-27 Manlio De Domenico , Eduardo G. Altmann

Similar to charitable giving in real world, donation behaviors play an important role in the complex interactions among individuals in virtual worlds. However, it is not clear if the donation process is random or not. We investigate this…

Physics and Society · Physics 2022-08-23 Yan-Hong Yang , Ming-Xia Li , Wei-Xing Zhou , H. E. Stanley

Federated Learning enables decentralized training by aggregating model updates across clients without sharing raw data, while Split Federated Learning further partitions the model between clients and a server to reduce computation and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-07 Chamani Shiranthika , Hadi Hadizadeh , Parvaneh Saeedi

It is argued that there is a need for fat-tailed distributions that become thin in the extreme tail. A 3-parameter distribution is introduced that visually resembles the t-distribution and interpolates between the normal distribution and…

Statistics Theory · Mathematics 2022-02-08 Rose D Baker

Funnelling effect, in the context of searching on networks, precisely indicates that the search takes place through a few specific nodes. We define the funnelling capacity $f$ of a node as the fraction of successful dynamic paths through it…

Disordered Systems and Neural Networks · Physics 2010-03-09 Parongama Sen

The multifractal spectra of daily foreign exchange rates for US dollar (USD), the British Pound (GBP), the Euro (Euro) and the Japanese Yen (Yen) with respect to the Indian Rupee are analysed for the period 6th January 1999 to 24th July…

Statistical Finance · Quantitative Finance 2023-06-29 R. P. Datta

We consider the problem of inferring the functional connectivity of a large-scale computer network from sparse time series of events emitted by its nodes. We do so under the following three domain-specific constraints: (a) non-stationarity…

Machine Learning · Computer Science 2018-02-13 Antoine Messager , George Parisis , Istvan Z Kiss , Robert Harper , Phil Tee , Luc Berthouze

The multifractal characterization of the distribution over disorder of the mean first-passage time in a finite chain is revisited. Both, absorbing-absorbing and reflecting-absorbing boundaries are considered. Two models of dichotomic…

Statistical Mechanics · Physics 2009-11-10 Pedro A. Pury , Manuel O. Caceres

In this work, a multifractal framework is proposed to investigate the effects of current sheets in solar wind turbulence. By using multifractal detrended fluctuation analysis coupled with surrogate methods and volatility, two solar wind…

Solar and Stellar Astrophysics · Physics 2023-01-18 Leonardo F. Gomes , Tiago F. P. Gomes , Erico L. Rempel , Silvio Gama

Over the past three decades, describing the reality surrounding us using the language of complex networks has become very useful and therefore popular. One of the most important features, especially of real networks, is their complexity,…

Physics and Society · Physics 2024-10-16 Rafal Rak , Ewa Rak