111 citations · 209 across the 4 of their papers we have counts for
6 papers · 1 filter
Inter-arrival time distribution for the non-homogeneous Poisson process
Gleb Yakovlev, John B. Rundle, Robert Shcherbakov +1
We derive an analytical expression of the inter-arrival time distribution for a non-homogeneous Poisson process (NHPP). This expression is exact and is applicable to any time inter…
Simulation of the Burridge-Knopoff Model of Earthquakes with Variable Range Stress Transfer
Junchao Xia, Harvey Gould, W. Klein +1
Simple models of earthquake faults are important for understanding the mechanisms for their observed behavior, such as Gutenberg-Richter scaling and the relation between large and…
Abelian threshold models and forced weakening
Eric F. Preston, Jorge S. Sá Martins, John B. Rundle
Mean field slider block models have provided an important entry point for understanding the behavior of discrete driven threshold systems. We present a method of constructing these…
The Phase Dynamics of Earthquakes: Implications for Forecasting in Southern California
Kristy F. Tiampo, John B. Rundle, Seth McGinnis +2
We analyze the space-time patterns of earthquake occurrence in southern California using a new method that treats earthquakes as a phase dynamical system. The system state vector i…
Precursory dynamics in threshold systems
J. S. Sá Martins, J. B. Rundle, M. Anghel +1
A precursory dynamics, motivated by the analysis of recent experiments on solid-on-solid friction, is introduced in a continuous cellular automaton that mimics the essential physic…
Scaling in a cellular automaton model of earthquake faults
M. Anghel, W. Klein, J. B. Rundle +1
We present theoretical arguments and simulation data indicating that the scaling of earthquake events in models of faults with long-range stress transfer is composed of at least th…