The automorphism group of $M_{0,n}^\text{trop}$ and   $\overline{M}_{0,n}^{\text{trop}}$
  In this paper we show that the automorphism groups of $M_{0,n}^{\text{trop}}$ and $\overline{M}_{0,n}^{\text{trop}}$ are isomorphic to the permutation group $S_n$ for $n\geq5$, while the automorphism groups of $M_{0,4}^{\text{trop}}$ and $\overline{M}_{0,4}^{\text{trop}}$ are isomorphic to the permutation group $S_3$. 
Alex Abreu, Marco Pacini
math.AG