The clock advance description of the Epidemic Type Aftershock Sequence (ETAS) model
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915091888209920 |
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| author | Holschneider, Matthias |
| author_facet | Holschneider, Matthias |
| contents | In this short paper we propose to extend the ETAS model to micro-seismic events. For that we interpret the triggered events in an ETAS model as individual local clock advances of an independent background process. The solution of the ETAS model thus becomes the sum of an infinite Markov chain of independent time adjusted background processses. This allows the incorporation of events at all scales. No artificial small magnitude cutoff is needed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01233 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The clock advance description of the Epidemic Type Aftershock Sequence (ETAS) model Holschneider, Matthias Geophysics Mathematical Physics Probability Adaptation and Self-Organizing Systems In this short paper we propose to extend the ETAS model to micro-seismic events. For that we interpret the triggered events in an ETAS model as individual local clock advances of an independent background process. The solution of the ETAS model thus becomes the sum of an infinite Markov chain of independent time adjusted background processses. This allows the incorporation of events at all scales. No artificial small magnitude cutoff is needed. |
| title | The clock advance description of the Epidemic Type Aftershock Sequence (ETAS) model |
| topic | Geophysics Mathematical Physics Probability Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2501.01233 |