Summary
In a previous work, the author obtained the strong Markov property of a process from conditions on its excursion process. The Ray and right properties are obtained here under similar conditions, using the Ray-Knight compactification.
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Salisbury, T.S. Construction of right processes from excursions. Probab. Th. Rel. Fields 73, 351–367 (1986). https://doi.org/10.1007/BF00776238
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DOI: https://doi.org/10.1007/BF00776238