Law for the distance between successive earthquakes

Abstract

Discovery of a new law for three dimensional spatial distance between the foci of successive earthquakes is reported. Analyzing the seismic data taken between 1984 and 2001 in southern California, it is found that the cumulative distribution of the distances follows the modified Zipf-Mandelbrot law, showing complexity of geometry of the events.

15 pages, 2 figures, published version

References in corpus (6)

• Unified Scaling Law for Earthquakes
• Stability of Tsallis antropy and instabilities of Renyi and normalized Tsallis entropies: A basis for q-exponential distributions
• Artifactual log-periodicity in finite size data: Relevance for earthquake aftershocks
• Microcanonical Foundation for Systems with Power-Law Distributions
• Rates of convergence of nonextensive statistical distributions to Levy distributions in full and half spaces
• Zipf-Mandelbrot Law for Time Intervals of Earthquakes

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• Complex earthquake networks: Hierarchical organization and assortative mixing
• Nonextensivity in Geological Faults?
• Earthquake networks based on similar activity patterns
• Scale-invariant statistics of period in directed earthquake network
• Evidence of $q$-exponential statistics in Greek seismicity
• Dynamical evolution of clustering in complex network of earthquakes
• Finite data-size scaling of clustering in earthquake networks
• Aging and scaling of aftershocks
• Empirical nonextensive laws for the county distribution of total personal income and gross domestic product
• Olami-Feder-Christensen Model on different Networks
• Determination of the scale of coarse graining in earthquake network
• Hypocenter interval statistics between successive earthquakes in the two-dimensional Burridge-Knopoff model
• Small World Picture of Worldwide Seismic Events
• Universal law for waiting internal time in seismicity and its implication to earthquake network
• Towards Evidence of Long-Range Correlations in Shallow Seismic Activities
• Aftershocks in Modern Perspectives: Complex Earthquake Network, Aging, and Non-Markovianity
• Anomalous diffusion of volcanic earthquakes
• Scale-free and small-world properties of earthquake network in Chile
• Subdiffusion of volcanic earthquakes
• Earthquake Networks, Complex