Nilpotent Structures in Ergodic Theory

By B. Host, Bryna Kra. Mathematical Surveys and Monographs, 2018

129 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/38dbfbb05c2b45df9d9f1631bef67edab4b14440

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In Algebra and Number Theory

1. Nikos Frantzikinakis
2. B. Host
3. Terence Tao
4. Bryna Kra
5. T. Ziegler
6. Tim Austin
7. William T. Gowers
8. Ben Joseph Green

In Geometry and Topology

1. Nikos Frantzikinakis
2. B. Host
3. Q. Chu
4. Terence Tao
5. T. Ziegler
6. Bryna Kra
7. Ben Joseph Green
8. Tim Austin

Citations in the corpus

• The logarithmic Sarnak conjecture for ergodic weights (2017, background): “rithmetic progressions” is the Hall-Petresco group that we define next. An extensive study of arithmetic progressions in a nilpotent group and in a nilmanifold can be found in [39, Chapter XIV] and in [39]. B.1. The group of arithmetic progressions. Let s ∈N and let X = G/Γ be an s-step nilmanifold. ”