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Author Host, B. (Bernard), author
Title Nilpotent structures in ergodic theory / Bernard Host, Bryna Kra
Imprint Providence, Rhode Island : American Mathematical Society, [2018]
2018
book jacket
LOCATION CALL # STATUS OPACMSG BARCODE
 Mathematics Library  QA611.5 H67 2018    AVAILABLE    30340200561219
Descript x, 427 pages ; 27 cm
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
Series Mathematical surveys and monographs ; volume 236
Mathematical surveys and monographs ; no. 236
Note Includes bibliographical references (pages 409-418) and indexes
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 [[infinity] -- Multiple correlations, good weights, and anti-uniformity -- Inverse results for uniformity seminorms and applications -- The comparison method
Subject Ergodic theory
Nilpotent groups
Isomorphisms (Mathematics)
Dynamical systems and ergodic theory -- Ergodic theory -- Measure-preserving transformations
Dynamical systems and ergodic theory -- Ergodic theory -- Ergodic theorems, spectral theory, Markov operators
Dynamical systems and ergodic theory -- Ergodic theory -- Relations with number theory and harmonic analysis
Dynamical systems and ergodic theory -- Ergodic theory -- Ergodicity, mixing, rates of mixing
Dynamical systems and ergodic theory -- Topological dynamics -- Transformations and group actions with special properties (minimality, distality, proximality, etc.)
Dynamical systems and ergodic theory -- Topological dynamics -- Notions of recurrence
Number theory -- Sequences and sets -- Arithmetic progressions
Number theory -- Sequences and sets -- Arithmetic combinatorics; higher degree uniformity
Measure and integration -- Measure-theoretic ergodic theory -- Measure-preserving transformations
Operator theory -- General theory of linear operators -- Ergodic theory
Alt Author Kra, Bryna, 1966- author
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