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arXiv · 2606.25135

Convergence Rates for Semistochastic Processes

James Broda·Alexander Grigo·Nikola P. Petrov
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Abstract

We study processes that consist of deterministic evolution punctuated at random times by disturbances with random severity; we call such processes semistochastic. Under appropriate assumptions such a process admits a unique stationary distribution. We develop a technique for establishing bounds on the rate at which the distribution of the random process approaches the stationary distribution. An important example of such a process is the dynamics of the carbon content of a forest whose deterministic growth is interrupted by natural disasters (fires, droughts, insect outbreaks, etc.).

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James Broda, Alexander Grigo, Nikola P. Petrov. 2026-06-23. Convergence Rates for Semistochastic Processes. https://doi.org/10.3934/dcdsb.2019001

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