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Abstract: An example due to Erdos and Fortet shows that, for a lacunary sequence ofintegers q n and a trigonometric polynomial f, the asymptotic distribution ofnormalized sums of fq k x can be a mixture of gaussian laws. Here we give ageneralization of their example interpreted as the limiting behavior of somemodified ergodic sums in the framework of dynamical systems.



Author: Jean-Pierre Conze IRMAR, Stéphane Le Borgne IRMAR

Source: https://arxiv.org/







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