Earthquake recurrence as a record breaking process
arXiv:physics/0507082 · doi:10.1029/2006GL026122
Abstract
Extending the central concept of recurrence times for a point process to recurrent events in space-time allows us to characterize seismicity as a record breaking process using only spatiotemporal relations among events. Linking record breaking events with edges between nodes in a graph generates a complex dynamical network isolated from any length, time or magnitude scales set by the observer. For Southern California, the network of recurrences reveals new statistical features of seismicity with robust scaling laws. The rupture length and its scaling with magnitude emerges as a generic measure for distance between recurrent events. Further, the relative separations for subsequent records in space (or time) form a hierarchy with unexpected scaling properties.
References in corpus (4)
Cited by in corpus (22)
- Recurrence networks - A novel paradigm for nonlinear time series analysis
- Universal Earthquake-Occurrence Jumps, Correlations with Time, and Anomalous Diffusion
- Networks of Recurrent Events, a Theory of Records, and an Application to Finding Causal Signatures in Seismicity
- Intermittency and roughening in the failure of brittle heterogeneous materials
- Earthquake networks based on similar activity patterns
- Clustering Phase Transitions and Hysteresis: Pitfalls in Constructing Network Ensembles
- Record-Breaking Avalanches in Driven Threshold Systems
- Record breaking bursts during the compressive failure of porous materials
- Statistical Physics Approaches to Seismicity
- Network of recurrent events for the Olami-Feder-Christensen model
- Link and subgraph likelihoods in random undirected networks with fixed and partially fixed degree sequence
- Record statistics of bursts signals the onset of acceleration towards failure
- Statistical Tests for Scaling in the Inter-Event Times of Earthquakes in California
- Recurrence measures and transitions in stock market dynamics
- Spatiotemporal correlations of aftershock sequences
- Complex Network Analysis of State Spaces for Random Boolean Networks
- Extreme value and record statistics in heavy-tailed processes with long-range memory
- Records in Fractal Stochastic Processes
- Network of Earthquakes and Recurrences Therein
- Earthquake Correlations and Networks- A Comparative Study
- Reply to Comment on ``Analysis of the spatial distribution between successive earthquakes''
- Network of Recurrent events - A case study of Japan