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Temporal inhomogeneities observed in various natural and social phenomena have often been characterized in terms of scaling behaviors in the autocorrelation function with a decaying exponent $\gamma$, the interevent time distribution with a…

物理与社会 · 物理学 2018-08-20 Byoung-Hwa Lee , Woo-Sung Jung , Hang-Hyun Jo

Many human-related activities show power-law decaying interevent time distribution with exponents usually varying between 1 and 2. We study a simple task-queuing model, which produces bursty time series due to the nontrivial dynamics of the…

物理与社会 · 物理学 2013-10-22 Szabolcs Vajna , Bálint Tóth , János Kertész

Temporal correlations in the time series observed in various systems have been characterized by the autocorrelation function. Such correlations can be explained by heavy-tailed interevent time distributions as well as by correlations…

计算物理 · 物理学 2025-06-17 Min-ho Yu , Hang-Hyun Jo

Inhomogeneous temporal processes, like those appearing in human communications, neuron spike trains, and seismic signals, consist of high-activity bursty intervals alternating with long low-activity periods. In recent studies such bursty…

物理与社会 · 物理学 2011-12-01 Márton Karsai , Kimmo Kaski , Albert-László Barabási , János Kertész

Understanding characteristics of temporal correlations in time series is crucial for developing accurate models in natural and social sciences. The burst-tree decomposition method was recently introduced to reveal higher-order temporal…

数据分析、统计与概率 · 物理学 2025-03-21 Tibebe Birhanu , Hang-Hyun Jo

Temporal inhomogeneities in event sequences of natural and social phenomena have been characterized in terms of interevent times and correlations between interevent times. The inhomogeneities of interevent times have been extensively…

物理与社会 · 物理学 2018-03-20 Hang-Hyun Jo , Takayuki Hiraoka

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…

数据分析、统计与概率 · 物理学 2024-08-14 Hang-Hyun Jo , Tibebe Birhanu , Naoki Masuda

Characterizing bursty temporal interaction patterns of temporal networks is crucial to investigate the evolution of temporal networks as well as various collective dynamics taking place in them. The temporal interaction patterns have been…

物理与社会 · 物理学 2019-07-31 Hang-Hyun Jo , Takayuki Hiraoka

Inhomogeneous temporal processes in natural and social phenomena have been described by bursts that are rapidly occurring events within short time periods alternating with long periods of low activity. In addition to the analysis of…

物理与社会 · 物理学 2015-08-26 Hang-Hyun Jo , Juan I. Perotti , Kimmo Kaski , Janos Kertesz

Numerous systems ranging from deformation of materials to earthquakes exhibit bursty dynamics, which consist of a sequence of events with a broad event size distribution. Very often these events are observed to be temporally correlated or…

Comprehensive characterization of non-Poissonian, bursty temporal patterns observed in various natural and social processes is crucial to understand the underlying mechanisms behind such temporal patterns. Among them bursty event sequences…

数据分析、统计与概率 · 物理学 2020-07-24 Hang-Hyun Jo , Takayuki Hiraoka , Mikko Kivelä

Long-term temporal correlations observed in event sequences of natural and social phenomena have been characterized by algebraically decaying autocorrelation functions. Such temporal correlations can be understood not only by heterogeneous…

物理与社会 · 物理学 2019-07-24 Hang-Hyun Jo

The presence of burstiness in temporal social networks, revealed by a power law form of the waiting time distribution of consecutive interactions, is expected to produce aging effects in the corresponding time-integrated network. Here we…

物理与社会 · 物理学 2015-04-24 Antoine Moinet , Michele Starnini , Romualdo Pastor-Satorras

Burstiness, the tendency of interaction events to be heterogeneously distributed in time, is critical to information diffusion in physical and social systems. However, an analytical framework capturing the effect of burstiness on generic…

物理与社会 · 物理学 2020-07-14 Samuel Unicomb , Gerardo Iñiguez , James P. Gleeson , Márton Karsai

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

Spreading dynamics has been considered to take place in temporal networks, where temporal interaction patterns between nodes show non-Poissonian bursty nature. The effects of inhomogeneous interevent times (IETs) on the spreading have been…

物理与社会 · 物理学 2018-10-18 Takayuki Hiraoka , Hang-Hyun Jo

Various time series in natural and social processes have been found to be bursty. Events in the time series rapidly occur within short time periods, forming bursts, which are alternated with long inactive periods. As the timescale defining…

数据分析、统计与概率 · 物理学 2026-04-08 Tibebe Birhanu , Hang-Hyun Jo

The concept of temporal networks provides a framework to understand how the interaction between system components changes over time. In empirical communication data, we often detect non-Poissonian, so-called bursty behavior in the activity…

物理与社会 · 物理学 2020-04-29 Takayuki Hiraoka , Naoki Masuda , Aming Li , Hang-Hyun Jo

Processes involving bursts of activity separated by quiescent periods occur across diverse systems and scales. In human dynamics, these phenomena have been described by power-law inter-event time distributions, $P(t)\sim t^{-\alpha}$, with…

其他凝聚态物理 · 物理学 2026-04-17 Morten Møller , Philipp Rahe , Sadegh Ghaderzadeh , Elena Besley , Philip Moriarty

Event correlation between aftershocks in the coherent noise model is studied by making use of natural time, which has recently been introduced in complex time-series analysis. It is found that the aging phenomenon and the associated scaling…

统计力学 · 物理学 2009-11-10 Ugur Tirnakli , Sumiyoshi Abe
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