Limit law for some modified ergodic sums

Details Limit law for some modified ergodic sums Limit law for some modified ergodic sums

2010-01-27

arxiv.org/abs/1001.4862v1

Mathematics

Dynamical Systems

Scientific paper

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.

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