  Results about the laws of the perpetuity and remainder variables associated
to a subordinator are presented, with particular emphasis on their Mellin
transforms, and multiplicative infinite divisibility property. Previous results
by Bertoin-Yor (Electron. Commun. Probab. 6 (2001) 95-106) are incorporated in
our discussion; important examples when the subordinator is the inverse local
time of a diffusion are exhibited. Results of Urbanik (Probab. Math. Statist.
15 (1995) 493-513) are also discussed in detail; they appear to be too little
known, despite the fact that quite a few of them have priority upon other works
in this area.
