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Mode-resolved first passage in catastrophe processes with imperfect absorption
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DOI：10.1016/j.rinp.2026.108698.png)
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Abstract
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• Develops an exact killed-generator framework for mode-resolved first passage. • Derives formulas for survival, first-passage densities, MFPTs, and moments. • Links long-time survival and mode selection to quasi-stationary spectra. • Shows how catastrophes, rescue, and absorption jointly shape lifetimes. • Validates predictions and tests robustness across rescue maps and spectra.
Keywords:
First-passage processes
Quasi-stationary distributions
Catastrophe processes
Imperfect absorption
Heavy-tailed jumps
Metastability
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