Fractals and Dynamic Systems in Geoscience 2000
DOI: 10.1007/978-3-0348-8430-3_7
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Scale-invariance Properties in Seismicity of Southern Apennine Chain (Italy)

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Cited by 6 publications
(4 citation statements)
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“…According to these ideas, in the deformed region, as the time progresses there is an increase in the number of events Volume 58 usually with moderate magnitudes, which leads to a critical point, which is the completion of this preparation process (Sornette and Sornette, 1990;Jaume, S.C., Sykes, L.R., 1999;Rundle et al, 2000). Several studies have been focused on the fractal structure and properties of the faults and the fracture process have been correlated with hierarchical scaling laws (Lapenna et al, 2000;Di Giovambattista and Tyupkin, 2001;Scholz and Aviles 2013;Vallianatos and Chatzopoulos, 2018). An innovative approach to study the collective properties of earthquakes based on Tsallis entropy (Tsallis, 2009;Vallianatos et al, 2016) who used a generalized concept of the Boltzmann-Gibbs statistical mechanics.…”
Section: Fig1mentioning
confidence: 99%
“…According to these ideas, in the deformed region, as the time progresses there is an increase in the number of events Volume 58 usually with moderate magnitudes, which leads to a critical point, which is the completion of this preparation process (Sornette and Sornette, 1990;Jaume, S.C., Sykes, L.R., 1999;Rundle et al, 2000). Several studies have been focused on the fractal structure and properties of the faults and the fracture process have been correlated with hierarchical scaling laws (Lapenna et al, 2000;Di Giovambattista and Tyupkin, 2001;Scholz and Aviles 2013;Vallianatos and Chatzopoulos, 2018). An innovative approach to study the collective properties of earthquakes based on Tsallis entropy (Tsallis, 2009;Vallianatos et al, 2016) who used a generalized concept of the Boltzmann-Gibbs statistical mechanics.…”
Section: Fig1mentioning
confidence: 99%
“…Several papers are related to this item (Sadovsky et al, 1984;Okubo and Aki, 1987;Geilikman et. al, 1990;Hirata and Imoto, 1991;Hirakashi et al, 1992;Turcotte, 1993;Wang and Lee, 1996;Lapenna et al, 2000). However, only few papers are reported, where the dynamics of fractal properties of seismicity were studied before strong earthquakes.…”
Section: Introductionmentioning
confidence: 99%
“…The study in our paper also creates directed weighted networks of earthquakes with the purpose of assessing relationships between them. Given the ubiquity of power laws governing earthquake distributions (Nanjo and Nagahama, 2000;Lapenna et al, 2000;Shcherbakov et al, 2004Shcherbakov et al, , 2006Carbone et al, 2005;Felzer and Brodsky, 2006;Bunde and Lennartz, 2012;Lippiello et al, 2012a, b), power law forms are used to estimate quantitatively the relationships between events in a space-time-size perspective. However, there are major differences between Baiesi and Paczuski's model and the work presented in this paper.…”
Section: Introductionmentioning
confidence: 99%