Concentration for norms of infinitely divisible vectors with independent   components
  We obtain dimension-free concentration inequalities for $\ell^p$-norms, $p\geq2$, of infinitely divisible random vectors with independent coordinates and finite exponential moments. Besides such norms, the methods and results extend to some other classes of Lipschitz functions. 
Christian Houdr\'e, Philippe Marchal, Patricia Reynaud-Bouret