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Switching Diffusion Systems with Past-Dependent Switching and Countable State Space: Successful Couplings and Strong Ergodicity

Xi, Fubao et al.
arXiv (OAI Expanded) · Papers
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Motivated by applications in biology, ecology, and finance, this paper investigates a class of switching diffusion systems where the discrete component takes values in a countable state space with transition rates dependent on the history of the continuous component. While history-dependent transiti
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