  In the last ten years, the generalized central limit theorem established by
Paul Levy in the thirties has been found more and more relevant in physics.
Physicists call 'Levy flights' random walks for which the probability density
of the jump lenghts $x$ decays as $1/x^{1+\alpha}$ with $\alpha<2$ for large
$x$. We give here a glimpse of Levy flights in physics through two examples,
without going into technical details. We first introduce a simple toy model,
the Arrhenius cascade. We then present an important physical process, subrecoil
laser cooling of atomic gases, in which Levy flights play an essential role.
