First passage times over stochastic boundaries for subdiffusive processes

C. Constantinescu, R. Loeffen, P. Patie

Let $\mathbb{X}=({\mathbb{X}}_t{)}_{t\ge 0}$ be the subdiffusive process defined, for any $t\ge 0$, by ${\mathbb{X}}_t=X_{{\ell }_t}$ where $X=(X_t{)}_{t\ge 0}$ is a Lévy process and $\…