A pushforward-based weak formulation provides a unified description of probability transfer for dimension-varying resets in stochastic hybrid systems, producing interior source densities or singular sources on lower-dimensional subsets.
Uncertainty propagation of stochastic hybrid systems: a case study for types of jump,
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Uncertainty Propagation in Stochastic Hybrid Systems with Dimension-Varying Resets
A pushforward-based weak formulation provides a unified description of probability transfer for dimension-varying resets in stochastic hybrid systems, producing interior source densities or singular sources on lower-dimensional subsets.