LIMIT LAW FOR SOME MODIFIED ERGODIC SUMS
LIMIT LAW FOR SOME MODIFIED ERGODIC SUMS
An example due to Erdős and Fortet shows that, for a lacunary sequence of integers (q n ) and a trigonometric polynomial φ, the asymptotic distribution of [Formula: see text] can be a mixture of Gaussian laws. Here we give a generalization of their example interpreted as the limiting behavior …