Convergence of multiple ergodic averages
动力系统
2007-05-23 v1
摘要
These notes are based on a course for a general audience given at the Centro de Modeliamento Matem\'atico of the University of Chile, in December 2004. We study the mean convergence of multiple ergodic averages, that is, averages of a product of functions taken at different times. We also describe the relations between this area of ergodic theory and some classical and some recent results in additive number theory.
引用
@article{arxiv.math/0606362,
title = {Convergence of multiple ergodic averages},
author = {Bernard Host},
journal= {arXiv preprint arXiv:math/0606362},
year = {2007}
}