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010 |a 2018043934 
019 |a 1061820261  |a 1167086610 
020 |a 1470447800  |q (hardcover ;  |q alkaline paper) 
020 |a 9781470447809  |q (hardcover ;  |q alkaline paper) 
035 |a (OCoLC)ocn1056204558 
035 |a (OCoLC)1056204558  |z (OCoLC)1061820261  |z (OCoLC)1167086610 
040 |a DLC  |b eng  |e rda  |c DLC  |d OCLCO  |d OCLCF  |d YDX  |d OCLCO  |d OCLCQ  |d OBE  |d ORE  |d MNU  |d NRC  |d UKMGB  |d LUN  |d OCLCQ 
042 |a pcc 
049 |a CODA 
050 0 0 |a QA611.5  |b .H67 2018 
100 1 |a Host, B.  |q (Bernard),  |e author.  |0 http://id.loc.gov/authorities/names/n86142069  |1 http://isni.org/isni/0000000027804018. 
245 1 0 |a Nilpotent structures in ergodic theory /  |c Bernard Host, Bryna Kra. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c [2018] 
264 4 |c ©2018. 
300 |a x, 427 pages ;  |c 27 cm. 
336 |a text  |b txt  |2 rdacontent. 
337 |a unmediated  |b n  |2 rdamedia. 
338 |a volume  |b nc  |2 rdacarrier. 
490 1 |a Mathematical surveys and monographs ;  |v volume 236. 
504 |a Includes bibliographical references (pages 409-418) and indexes. 
505 0 |a 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. 
650 0 |a Ergodic theory.  |0 http://id.loc.gov/authorities/subjects/sh85044600. 
650 0 |a Nilpotent groups.  |0 http://id.loc.gov/authorities/subjects/sh85057511. 
650 0 |a Isomorphisms (Mathematics)  |0 http://id.loc.gov/authorities/subjects/sh85068654. 
650 7 |a Ergodic theory.  |2 fast  |0 (OCoLC)fst00914656. 
650 7 |a Isomorphisms (Mathematics)  |2 fast  |0 (OCoLC)fst00980192. 
650 7 |a Nilpotent groups.  |2 fast  |0 (OCoLC)fst01037754. 
650 7 |a Dynamical systems and ergodic theory  |x Ergodic theory  |x Measure-preserving transformations.  |2 msc. 
650 7 |a Dynamical systems and ergodic theory  |x Ergodic theory  |x Ergodic theorems, spectral theory, Markov operators.  |2 msc. 
650 7 |a Dynamical systems and ergodic theory  |x Ergodic theory  |x Relations with number theory and harmonic analysis.  |2 msc. 
650 7 |a Dynamical systems and ergodic theory  |x Ergodic theory  |x Ergodicity, mixing, rates of mixing.  |2 msc. 
650 7 |a Dynamical systems and ergodic theory  |x Topological dynamics  |x Transformations and group actions with special properties (minimality, distality, proximality, etc.)  |2 msc. 
650 7 |a Dynamical systems and ergodic theory  |x Topological dynamics  |x Notions of recurrence.  |2 msc. 
650 7 |a Number theory  |x Sequences and sets  |x Arithmetic progressions.  |2 msc. 
650 7 |a Number theory  |x Sequences and sets  |x Arithmetic combinatorics; higher degree uniformity.  |2 msc. 
650 7 |a Measure and integration  |x Measure-theoretic ergodic theory  |x Measure-preserving transformations.  |2 msc. 
650 7 |a Operator theory  |x General theory of linear operators  |x Ergodic theory.  |2 msc. 
700 1 |a Kra, Bryna,  |d 1966-  |e author.  |0 http://id.loc.gov/authorities/names/n2018053505  |1 http://isni.org/isni/0000000457350001. 
773 0 |t Mathematical surveys and monographs  |w 9961311380001701  |g no:236. 
830 0 |a Mathematical surveys and monographs ;  |v no. 236.  |0 http://id.loc.gov/authorities/names/n83732928. 
907 |a .b119755440  |b 11-01-21  |c 10-06-21 
998 |a eng  |b 10-06-21  |c k  |d m   |e -  |f eng  |g riu  |h 0  |i 1 
907 |a .b119755440  |b 10-06-21  |c 10-06-21 
944 |a MARS - RDA ENRICHED 
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952 f f |p Can circulate  |a University of Colorado Boulder  |b Boulder Campus  |c Engineering Math & Physics  |d Engineering Math & Physics Library - Stacks  |e QA611.5 .H67 2018  |h Library of Congress classification  |i book  |m U183075254381  |n 1