Levy Systems for Time-Changed Processes

After a study of the process $Y$, obtained from a right process $X$ by time-changing it with respect to a continuous additive functional $A$, we relate the jumps of $Y$ in $\Phi = \operatorname{sup} A$ to the excursions of $X$ out of $\Phi$ and to the jumps of $X$ inside $\Phi$.