Limit law for some modified ergodic sums
Dynamical Systems
2010-01-28 v1 Probability
Abstract
An example due to Erdos and Fortet shows that, for a lacunary sequence of integers (q_n) and a trigonometric polynomial f, the asymptotic distribution of normalized sums of f(q_k x) can be a mixture of gaussian laws. Here we give a generalization of their example interpreted as the limiting behavior of some modified ergodic sums in the framework of dynamical systems.
Keywords
Cite
@article{arxiv.1001.4862,
title = {Limit law for some modified ergodic sums},
author = {Jean-Pierre Conze and Stéphane Le Borgne},
journal= {arXiv preprint arXiv:1001.4862},
year = {2010}
}