A decomposition for Markov processes at an independent exponential timePerman, Mihael (Avtor) The path of Markov process ▫$X$▫ run up to an independent exponential random time ▫$S_\theta$▫ can be decomposed into the part prior to the last exit time from a point before ▫$S_\theta$▫, and the remainder up to ▫$S_\theta$▫. In this paper the laws of the two segments are identified under suitable assumptions using excursion theory.20172022-01-03 00:50:23Neznano17624sl