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A Cox rate-and-state model for monitoring seismic hazard in the Groningen gas field
Full text linkTo monitor the seismic hazard in the Groningen gas field, this paper modifies the rate-and-state model that relates changes in pore pressure to induced seismic hazard by allowing for noise in pore pressure measurements and by explicitly taking into account gas production volumes. The first and second-moment structures of the resulting Cox process are analysed, an unbiased estimating equation approach for the unknown model parameters is proposed and the conditional distribution of the driving random measure is derived. A parallel Metropolis-adjusted Langevin algorithm is used for sampling from the conditional distribution and to monitor the hazard
Evolutionary Boolean Reaction Systems (EvoBRS)
No full textEvolutionary Boolean Reaction Systems is a new algorithm paradigm to construct bent and highly non linear balanced Boolean functions
Asymptotic behavior for a general class of spreading models
Full text linkGrowing literatures on epidemic and rumor dynamics show that infection and information coevolve. We present a unified framework for modeling the spread of infection and information: a general class of interaction-driven fluid-limit models expressed as coupled ODEs. The class includes the SIR epidemic model, the Daley-Kendall rumor model, and many extensions. For this general class, we derive theoretical results: under explicit graph-theoretic conditions, we obtain a classification of asymptotic behavior and motivate a conjecture of exponential decay for vanishing states. When these conditions are violated, the classification can fail, and decay may become non-exponential (e.g., algebraic). In deriving the main result, we establish asymptotic stability and -integrability properties for state variables. Alongside these results, we introduce the dependency graph that captures outflow dependencies and offers a new angle on the structure of this model class. Finally, we illustrate the results with several examples, including a heterogeneous rumor model and a rumor-dependent SIR model, showing how small changes to the dependency graph can flip asymptotic behavior and reshape epidemic trajectories
