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Results on Polynomial Ergodic Averages

Description:

We prove the L<SUP>2</SUP>-convergence of polynomial ergodic averages of multiple commuting transformations for totally ergodic systems. We show that for each set of polynomials, each average is controlled by a particular characteristic factor introduced by Host and Kra, which is an inverse limit of nilsystems. We then investigate for which...

Keyword:

dynamical systems and ergodic theory

Subject:

Mathematics

Creator:

Michael Charles Reed Johnson

Owner:

Scholarly Digital Publishing

Date Uploaded:

06/26/2018

Date Modified:

06/26/2018

Date Created:

2007-05-11

Resource Type:

Dissertation