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Order parameter fluctuations in natural time and b-value variation before large earthquakes
Order parameter fluctuations natural time b-value variation large earthquakes Geophysics
2012/5/29
Self-similarity may stem from two origins: the process' increments infinite variance and/or process' memory. The $b$-value of the Gutenberg-Richter law comes from the first origin. In the frame of nat...
Many Roads to Synchrony: Natural Time Scales and Their Algorithms
Chaotic Dynamics (nlin.CD) Formal Languages and Automata Theory (cs.FL) Information Theory (cs.IT) Dynamical Systems (math.DS)
2010/11/10
We survey the variety of ways in which one synchronizes to a stochastic process. We define associated length scales, providing characterization theorems and efficient algorithms for their calculation....