Title: Cutoff for $n$-tuples of exponentially converging processes. Authors: J. Barrera, B. Lachaud, and B. Ycart Abstract: Given a $n$-tuple of independent processes, each converging at exponential rate, conditions are given under which a cutoff occurs for the $n$-tuple, when the convergence is measured by different distances between probability distributions. More precise estimates and explicit examples are given for the case of i.i.d. coordinates. R\'esum\'e : Etant donn\'e un $n$-uplet de processus ind\'ependants, convergeant chacun exponentiellement, des conditions sont donn\'ees pour l'existence d'un ph\'enom\`ene de cutoff, quand la convergence est mesur\'ee par diff\'erents types de distances entre lois de probabilit\'e. Des estimations plus pr\'ecises et des exemples explicites sont donn\'es dans le cas i.i.d. AMS 2000 subject classification: 60F05 (primary) 60J25 (secondary) Key words and phrases: Cutoff, total variation distance, Hellinger distance, chi-square distance, Kullback distance, exponential convergence.