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math.PR2025
Reach-avoid semi-Markov decision processes with time-varying obstacles
Yanyun Li, Xianping Guo
We consider the maximal reach-avoid probability to a target in finite horizon for semi-Markov decision processes with time-varying obstacles. Since the variance of the obstacle set…
math.PR2024
Decay property of a class of d-dimensional Markov processes
Yanyun Li
In this paper, we consider the decay property of a special class of -dimensional Markov processes, which can be viewed as a stopped network with the external customer being bloc…
math.PR2020
The down/up crossing properties of weighted Markov branching processes
Yanyun Li, Junping Li
We consider the down/up crossing property of weighted Markov branching processes. The joint probability distribution of multi crossing numbers of such processes are obtained. In pa…