Nilpotent Structures in Ergodic Theory

Nilpotent Structures in Ergodic Theory Bernard Host, Université Paris-Est Marne-la-Vallée, Champssur-Marne, France, and Bryna Kra, Northwestern University, Evanston, IL Nilsystems play a key role in the structure theory of measure preserving systems, arising as the natural objects that describe the behavior of multiple ergodic averages. This book is a comprehensive treatment of their role in ergodic theory, covering development of the abstract theory leading to the structural statements, applications of these results, and connections to other fields.

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