Minoration of the complexity function associated to a translation on the   torus
  We show that the complexity function $p_k(n)$ of a piecewise translation map conjugated to a minimal translation on the torus $\TT^k = \RR^k / \ZZ^k$ is at least $kn+1$ for every integer $n$. 
Nicolas B\'edaride and Jean Fran\c{c}ois Bertazzon
math.DS math.CO