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Abstract
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In this talk, we present some of our recent work on switching diffusions, in which continuous dynamics and discrete events coexist. We focus on asymptotic properties of such processes. First, motivational examples arising from finance, singular perturbed Markovian systems, and manufacturing will be mentioned. Then, we will recall the notion of recurrence and regularity, present necessary and sufficient conditions for recurrence, delineate the ergodic measures, and study stability and instability. |
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