CONTENTS Abstract viii 0. Introduction 1 1. Formulation of main theorem 10 2. Preliminaries 15 3. Primitive Extensions 26 4. Relative polynomial mixing 37 5. Completion of the proof 55 6. Measure-theoretic applications 64 7. Combinatorial applications 81 8. For future investigation 90 A. Appendix: Multiparameter weakly mixing PET 92 References 103 Index of Notation 105 Index 106 vn
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