MARC 主機 00000cam  2200805 i 4500 
001    1056204558 
003    OCoLC 
005    20190410213635.0 
008    180913t20182018riu      b    001 0 eng   
010    2018043934 
020    1470447800 
020    9781470447809 
035    (OCoLC)1056204558|z(OCoLC)1061820261 
040    DLC|beng|erda|cDLC|dOCLCO|dOCLCF|dYDX|dOCLCO|dOCLCQ|dOBE
       |dORE|dMNU|dNRC|dUKMGB|dAS|dMATH 
042    pcc 
050 00 QA611.5|b.H67 2018 
082 00 515/.48|223 
100 1  Host, B.|q(Bernard),|eauthor 
245 10 Nilpotent structures in ergodic theory /|cBernard Host, 
       Bryna Kra 
264  1 Providence, Rhode Island :|bAmerican Mathematical Society,
       |c[2018] 
264  4 |c2018 
300    x, 427 pages ;|c27 cm 
336    text|btxt|2rdacontent 
337    unmediated|bn|2rdamedia 
338    volume|bnc|2rdacarrier 
490 1  Mathematical surveys and monographs ;|vvolume 236 
504    Includes bibliographical references (pages 409-418) and 
       indexes 
505 0  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 
650  0 Ergodic theory 
650  0 Nilpotent groups 
650  0 Isomorphisms (Mathematics) 
650  4 Dynamical systems and ergodic theory|xErgodic theory
       |xMeasure-preserving transformations 
650  4 Dynamical systems and ergodic theory|xErgodic theory
       |xErgodic theorems, spectral theory, Markov operators 
650  4 Dynamical systems and ergodic theory|xErgodic theory
       |xRelations with number theory and harmonic analysis 
650  4 Dynamical systems and ergodic theory|xErgodic theory
       |xErgodicity, mixing, rates of mixing 
650  4 Dynamical systems and ergodic theory|xTopological dynamics
       |xTransformations and group actions with special 
       properties (minimality, distality, proximality, etc.) 
650  4 Dynamical systems and ergodic theory|xTopological dynamics
       |xNotions of recurrence 
650  4 Number theory|xSequences and sets|xArithmetic progressions
650  4 Number theory|xSequences and sets|xArithmetic 
       combinatorics; higher degree uniformity 
650  4 Measure and integration|xMeasure-theoretic ergodic theory
       |xMeasure-preserving transformations 
650  4 Operator theory|xGeneral theory of linear operators
       |xErgodic theory 
700 1  Kra, Bryna,|d1966-|eauthor 
830  0 Mathematical surveys and monographs ;|vno. 236 
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