LIMIT LAW FOR SOME MODIFIED ERGODIC SUMS-Reference-Cited by-同舟云学术

LIMIT LAW FOR SOME MODIFIED ERGODIC SUMS

Published:2011-03 Issue:01 Volume:11 Page:107-133
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

CONZE JEAN-PIERRE¹,LE BORGNE STÉPHANE¹

Affiliation:

1. Irmar, Université de Rennes 1, UMR CNRS 6625, Campus de Beaulieu, 35042 Rennes Cedex, France

Abstract

An example due to Erdős and Fortet shows that, for a lacunary sequence of integers (qn) 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 of some modified ergodic sums in the framework of dynamical systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949371100319X

Reference19 articles.

1. On the central limit theorem for f (n k x)

2. On the asymptotic behaviour of ?f(nkx)

3. Triangulation of the manifold of class one

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