Ergodicity of a Stress Release Point Process Seismic Model with Aftershocks

P. Bremaud, S.G. Foss

2010, v.16, Issue 2, 389-408

ABSTRACT

We prove ergodicity of a point process earthquake model combining the classical stress release model for primary shocks with the Hawkes model for aftershocks.

Keywords: earthquakes,secondary earthquakes,point process,stochastic intensity,ergodicity,Harris chains,Foster's theorem

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Laboratory of large random systems, Dept. of Mechanics and Mathematics
Moscow State University, Vorobievy Gory, 119952 Moscow Russia
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The journal was founded in 1995 by prof. Malyshev V. A.
Published by Polymat Publishing Company, Moscow, Russia
ISSN 1024-2953
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Markov Processes And Related Fields

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P. Bremaud, S.G. Foss