  The objective of this paper is to prove a functional weak invariance
principle for a local time of a process of the form $X_{n}=\varphi\circ T^{n}$
where $\left(X,\mathcal{B},T,m\right)$ is a measure preserving system with a
transfer operator acting quasi-compactly on a large enough Banach space of
functions and $\varphi\in L^{2}\left(m\right)$ is an aperiodic observable.
