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Nilpotent structures in ergodic theory / Bernard Host, Bryna Kra.
Math/Physics/Astronomy Library QA611.5 .H67 2018
Available
- Format:
- Book
- Author/Creator:
- Host, B. (Bernard), author.
- Kra, Bryna, 1966- author.
- Series:
- Mathematical surveys and monographs ; no. 236.
- Mathematical surveys and monographs ; volume 236
- Language:
- English
- Subjects (All):
- Ergodic theory.
- Nilpotent groups.
- Isomorphisms (Mathematics).
- Physical Description:
- x, 427 pages ; 27 cm.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2018]
- Contents:
- Introduction
- Part 1. Basics. Background material
- Dynamical background
- Rotations
- Group extensions
- Part 2. Cubes. Cubes in an algebraic setting
- Dynamical cubes
- Cubes in ergodic theory
- The structure factors
- Part 3. Nilmanifolds and nilsystems. Nilmanifolds
- Nilsystems
- Cubic structures in nilmanifolds
- Factors of nilsystems
- Polynomials in nilmanifolds and nilsystems
- Arithmetic progressions in nilsystems
- Part 4. Structure theorems. The ergodic structure theorem
- Other structure theorems
- Relations between consecutive factors
- The structure theorem in a particular case
- The structure theorem in the general case
- Part 5. Applications. The method of characteristic factors
- Uniformity seminorms on ℓ[infinity]
- Multiple correlations, good weights, and anti-uniformity
- Inverse results for uniformity seminorms and applications
- The comparison method.
- Notes:
- Includes bibliographical references (pages 409-418) and indexes.
- ISBN:
- 1470447800
- 9781470447809
- OCLC:
- 1056204558
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