I guess that the following statemant is correct (maybe it is trivial for an expert about Pseudo-Anosov map).

"For a given $n\in N$, there exists a closed orientbale surface $\Sigma^n$ such that there exists a pseudo-Anosov diffeomorphism $f_n$ on $\Sigma^n$ with an $n$-prong singularity. "

Could you pleae provide me some references or comments? Thank you.

Whether the following statemant is correct (I guess the answer is "Yes" and I guess that maybe it is trivial for an expert about Pseudo-Anosov map)?

"For a given $n\in N$, there exists a closed orientbale surface $\Sigma^n$ such that there exists a pseudo-Anosov diffeomorphism $f_n$ on $\Sigma^n$ with an $n$-prong singularity. "

Could you pleae provide me some references or comments? Thank you.