We give a simpler and shorter proof of Kesten's result for the probabilities with which a subordinator hits points.
Peter Andrew. "A Proof from `First Principles' of Kesten's Result for the Probabilities with which a Subordinator Hits Points.." Electron. Commun. Probab. 11 58 - 63, 2006. https://doi.org/10.1214/ECP.v11-1193