Persistence problems for additive functionals of one-dimensional Markov processes

Quentin Berger, Loïc Béthencourt, Camille Tardif

In this article, we consider additive functionals ${\zeta }_t={\int }_0^{t}f(X_s)\mathrm{d}s$ of a càdlàg Markov process $(X_t{)}_{t\ge 0}$ on $\mathbb{R}$. Under some general conditions on…