Abstract
We prove the L2 convergence for an ergodic average of a product of functions evaluated along polynomial times in a totally ergodic system. For each set of polynomials, we show that there is a particular factor, which is an inverse limit of nilsystems, that controls the limit behavior of the average. For a general system, we prove the convergence for certain families of polynomials.
Original language | English (US) |
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Pages (from-to) | 1-19 |
Number of pages | 19 |
Journal | Israel Journal of Mathematics |
Volume | 149 |
DOIs | |
State | Published - 2005 |
ASJC Scopus subject areas
- Mathematics(all)