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Convergence of multiple ergodic averages

Bernard Host
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Abstract

These notes are based on a course for a general audience given at the Centro de Modeliamento Matemático 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.

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Bernard Host. 2006-06-15. Convergence of multiple ergodic averages. https://arxiv.org/abs/math/0606362

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