Uncommon Suffix Tries
  Common assumptions on the source producing the words inserted in a suffix trie with $n$ leaves lead to a $\log n$ height and saturation level. We provide an example of a suffix trie whose height increases faster than a power of $n$ and another one whose saturation level is negligible with respect to $\log n$. Both are built from VLMC (Variable Length Markov Chain) probabilistic sources; they are easily extended to families of sources having the same properties. The first example corresponds to a "logarithmic infinite comb" and enjoys a non uniform polynomial mixing. The second one corresponds to a "factorial infinite comb" for which mixing is uniform and exponential. 
Peggy C\'enac (IMB), Brigitte Chauvin (LM-Versailles), Fr\'ed\'eric   Paccaut (LAMFA), Nicolas Pouyanne (LM-Versailles)
math.PR cs.DS