Abstract: In this dissertation we establish various pointwise ergodic theorems, of both quanitative and qualitative nature. Beyond an introductory chapter, we devote one chapter to establishing quantitative ergodic theorems for $\Z^d$ actions; one chapter to quantitative ergodic theorems for polynomial orbits; one chapter to uniform estimates for various modulated ergodic averages; and the final chapter to random modulated averages.
Publication Year: 2015
Publication Date: 2015-01-01
Language: en
Type: article
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