Let X be compact metric space and $f$ continuous map from $X$ to $X$. Is it true, that if $f$ is weak mixing, then the entering time $N(U,V) = \{n \in \mathbb{N}| f^n(U) \cap V \neq \emptyset\}$ is thick i.e. contains arbitrary large sequences of consecutive integers. I guess it is true, but I could not find where I read it, if some could send me link to the proof, I would very much appreciate it.

Let $X$ be a compact metric space and $f$ a continuous map from $X$ to $X$. Is it true, that if $f$ is weakly mixing, then the entering time $$N(U,V) = \{n \in \mathbb{N}\mid f^n(U) \cap V \neq \emptyset\}$$ is thick i.e. contains arbitrary large sequences of consecutive integers?

I guess it is true, but I could not find where I read it, if some could send me link to the proof, I would very much appreciate it.