Level sets of multiple ergodic averages

Details Level sets of multiple ergodic averages Level sets of multiple ergodic averages

2011-05-16

arxiv.org/abs/1105.3032v1

Mathematics

Dynamical Systems

This note was refused by Proceedings of AMS although the referee said "In my opinion this is a nice application of the Riesz p

Scientific paper

We propose to study multiple ergodic averages from multifractal analysis
point of view. In some special cases in the symbolic dynamics, Hausdorff
dimensions of the level sets of multiple ergodic average limit are determined
by using Riesz products.

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