Growth and intermittency of supOU processes.

SupOU processes can satisfy limit theorems while also exhibiting an unusual growth of moments. This unusual growth, which is measured using the scaling function, is referred to as "intermittency". For ordinary processes the growth is associated to only one scale and therefore there is no intermittency. SupOU processes, however, can be intermittent displaying a multiscale behavior. To analyze these scales we focus on limit theorems, large deviation principles and pathwise asymptotics as in the law of iterated logarithm.