2018
DOI: 10.1038/s41598-018-23709-4
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Long-range dependence in earthquake-moment release and implications for earthquake occurrence probability

Abstract: Since the beginning of the 1980s, when Mandelbrot observed that earthquakes occur on ‘fractal’ self-similar sets, many studies have investigated the dynamical mechanisms that lead to self-similarities in the earthquake process. Interpreting seismicity as a self-similar process is undoubtedly convenient to bypass the physical complexities related to the actual process. Self-similar processes are indeed invariant under suitable scaling of space and time. In this study, we show that long-range dependence is an in… Show more

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Cited by 16 publications
(7 citation statements)
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“…A3 of the Appendix). Since D app is composed of the recordings of the 2016-2017 central Italy sequence, for which the earthquakes show spatial and temporal clustering (Barani et al 2017(Barani et al , 2018, the actual temporal order of occurrence of the recordings could show a large path-correlation among elements close located in the temporal From top to bottom: model calibrated in this study considering δP2S, without considering δP2S, model of (Caruso et al 2017), model of (Wu et al 2007) and model of (Zollo et al 2010). The mean residual is indicated by the red vertical line, and the normal distributions with mean and standard deviation computed from each histogram are shown in black.…”
Section: A P P L I C At I O N T O N E W E a Rt H Q Ua K E S A N D S Tmentioning
confidence: 99%
“…A3 of the Appendix). Since D app is composed of the recordings of the 2016-2017 central Italy sequence, for which the earthquakes show spatial and temporal clustering (Barani et al 2017(Barani et al , 2018, the actual temporal order of occurrence of the recordings could show a large path-correlation among elements close located in the temporal From top to bottom: model calibrated in this study considering δP2S, without considering δP2S, model of (Caruso et al 2017), model of (Wu et al 2007) and model of (Zollo et al 2010). The mean residual is indicated by the red vertical line, and the normal distributions with mean and standard deviation computed from each histogram are shown in black.…”
Section: A P P L I C At I O N T O N E W E a Rt H Q Ua K E S A N D S Tmentioning
confidence: 99%
“…The Hurst exponent H is a measure of the secular memory of a time series. It has been widely used in the study of many natural phenomena, such as geology (Barani et al 2018), geomagnetism (Wanliss & Reynolds 2003), solar activity (Oliver & Ballester 1996;Lepreti et al 2000;Zhou et al 2014), and so on. A value of H = 0.5 indicates that the behavior of the time series corresponds to a stochastic process with no memory.…”
Section: Introductionmentioning
confidence: 99%
“…The Hurst exponent H is a measure of the secular memory of a time series. It has been widely used in the study of the memory of many natural phenomena, such as geology (Barani et al 2018), geomagnetism (Wanliss & Reynolds 2003), solar activity (Oliver & Ballester 1996;Lepreti et al 2000;Zhou et al 2014) and so on. A value of H = 0.5 indicates that the behavior of the time series corresponds to a stochastic process with no memory.…”
Section: Introductionmentioning
confidence: 99%