Strong disorder for a certain class of directed polymers in a random   environment
  We study a model of directed polymers with an exponentially recurrent Markov chain and an indefinitely divisible random environment. We prove that the normalized partition function converges exponentially fast towards zero at all temperatures. 
Philippe Carmona (Nantes) Francesco Guerra (Roma La Sapienza) Yueyun   Hu (Paris VI) Olivier Mejane (Toulouse III)