Note on the Transition to Intermittency for the exponential of the Square of a Steinhaus Series

Philippe Mounaix, Pierre Collet

Intermittency of ${\mathcal{E}}_N(x,g)=\exp [g|S_N(x){|}^2]$ as $N\to +\infty$ is investigated on a $d$-dimensional torus $\Lambda$, when $S_N(x)$ is a finite Steinhaus series o…