We give a description, in terms of ``pseudo-stable increasing process'', of the Lamperti process associated with the inverse local time of a radial Ornstein-Uhlenbeck process. Following Bertoin-Yor, we also express, in two particular cases, the law of the perpetuity associated with this inverse local time.
"On the remarkable Lamperti representation of the inverse local time of a radial Ornstein-Uhlenbeck process." Bull. Belg. Math. Soc. Simon Stevin 20 (3) 435 - 449, august 2013. https://doi.org/10.36045/bbms/1378314508