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Just like the degrees of human and animal interaction networks, the distribution of the times between interactions is known to often be right-skewed and fat-tailed. Both these distributions affect epidemic dynamics strongly, but, as we show…

种群与进化 · 定量生物学 2020-05-14 Naoki Masuda , Petter Holme

Recently, increasing empirical evidence indicates the extensive existence of heavy tails in the interevent time distributions of various human behaviors. Based on the queuing theory, the Barab\'asi model and its variations suggest the…

物理与社会 · 物理学 2008-07-26 Xiao-Pu Han , Tao Zhou , Bing-Hong Wang

The interest in non-Markovian dynamics within the complex systems community has recently blossomed, due to a new wealth of time-resolved data pointing out the bursty dynamics of many natural and human interactions, manifested in an…

统计力学 · 物理学 2019-04-25 Antoine Moinet , Michele Starnini , Romualdo Pastor-Satorras

Human activities can play a crucial role in the statistical properties of observables in many complex systems such as social, technological and economic systems. We demonstrate this by looking into the heavy-tailed distributions of…

物理与社会 · 物理学 2009-08-24 Jie-Jun Tseng , Ming-Jer Lee , Sai-Ping Li

Multiclass open queueing networks find wide applications in communication, computer and fabrication networks. Often one is interested in steady-state performance measures associated with these networks. Conceptually, under mild conditions,…

概率论 · 数学 2013-07-24 Sarat Babu Moka , Sandeep Juneja

Social, technological and economic time series are divided by events which are usually assumed to be random albeit with some hierarchical structure. It is well known that the interevent statistics observed in these contexts differs from the…

交易与市场微观结构 · 定量金融 2008-12-02 J. Perello , J. Masoliver , A. Kasprzak , R. Kutner

Current models of human dynamics, used from risk assessment to communications, assume that human actions are randomly distributed in time and thus well approximated by Poisson processes. We provide direct evidence that for five human…

物理与社会 · 物理学 2009-11-11 A. Vazquez , J. Gama Oliveira , Z. Dezso , K. -I. Goh , I. Kondor , A. -L. Barabasi

Temporal sequences of discrete events that describe natural and social processes are often driven by non-Poisson dynamics. In addition to a heavy-tailed interevent time distribution, which primarily captures the deviation from a Poisson…

物理与社会 · 物理学 2025-12-08 Takayuki Hiraoka , Hang-Hyun Jo

Reasoning about graphs evolving over time is a challenging concept in many domains, such as bioinformatics, physics, and social networks. We consider a common case in which edges can be short term interactions (e.g., messaging) or long term…

机器学习 · 统计学 2020-06-22 Boris Knyazev , Carolyn Augusta , Graham W. Taylor

Continuous mixtures of distributions are widely employed in the statistical literature as models for phenomena with highly divergent outcomes; in particular, many familiar heavy-tailed distributions arise naturally as mixtures of…

统计方法学 · 统计学 2017-10-10 Carter T. Butts

We are interested in modeling networks in which the connectivity among the nodes and node attributes are random variables and interact with each other. We propose a probabilistic model that allows one to formulate jointly a probability…

概率论 · 数学 2016-09-07 Haiyan Cai

In temporal networks, both the topology of the underlying network and the timings of interaction events can be crucial in determining how some dynamic process mediated by the network unfolds. We have explored the limiting case of the speed…

物理与社会 · 物理学 2012-05-28 Mikko Kivelä , Raj Kumar Pan , Kimmo Kaski , János Kertész , Jari Saramäki , Márton Karsai

Weighted networks capture the structure of complex systems where interaction strength is meaningful. This information is essential to a large number of processes, such as threshold dynamics, where link weights reflect the amount of…

物理与社会 · 物理学 2021-04-28 Samuel Unicomb , Gerardo Iñiguez , Márton Karsai

Graphical models with heavy-tailed factors can be used to model extremal dependence or causality between extreme events. In a Bayesian network, variables are recursively defined in terms of their parents according to a directed acyclic…

统计方法学 · 统计学 2026-01-14 Johan Segers , Stefka Asenova

Human social interactions are typically recorded as time-specific dyadic interactions, and represented as evolving (temporal) networks, where links are activated/deactivated over time. However, individuals can interact in groups of more…

物理与社会 · 物理学 2022-11-03 Alberto Ceria , Huijuan Wang

It is well-known that many networks follow a power-law degree distribution; however, the factors that influence the formation of their distributions are still unclear. How can one model the connection between individual actions and network…

社会与信息网络 · 计算机科学 2015-11-10 Yang Yang , Jie Tang , Yuxiao Dong , Qiaozhu Mei , Reid A. Johnson , Nitesh V. Chawla

In previous studies, the propagation of extreme events across nodes in monolayer networks has been extensively studied. In this work, we extend this investigation to explore the propagation of extreme events between two distinct layers in a…

混沌动力学 · 物理学 2025-07-23 R. Shashangan , S. Sudharsan , Dibakar Ghosh , M. Senthilvelan

Complex networks have played an important role in describing real complex systems since the end of the last century. Recently, research on real-world data sets reports intermittent interaction among social individuals. In this paper, we pay…

社会与信息网络 · 计算机科学 2025-11-25 Ziyan Zeng , Minyu Feng , Jürgen Kurths

Dynamic networks exhibit temporal patterns that vary across different time scales, all of which can potentially affect processes that take place on the network. However, most data-driven approaches used to model time-varying networks…

物理与社会 · 物理学 2017-12-27 Tiago P. Peixoto , Laetitia Gauvin

Many of the biological, social and man-made networks around us are inherently dynamic, with their links switching on and off over time. The evolution of these networks is often non-Markovian, and the dynamics of their links correlated.…

统计力学 · 物理学 2021-07-23 Oliver E. Williams , Piero Mazzarisi , Fabrizio Lillo , Vito Latora