Ergodicity of a stress release point process seismic model with aftershocks

TL;DR

This paper proves the ergodicity of a combined earthquake model that integrates stress release for main shocks with Hawkes process for aftershocks, enhancing understanding of seismic activity patterns.

Contribution

It introduces a novel combined model and establishes its ergodic properties, bridging stress release and Hawkes processes in seismic modeling.

Findings

Proves ergodicity of the combined earthquake model.

Provides mathematical foundation for long-term behavior analysis.

Enhances modeling of seismic activity with integrated processes.

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.