Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits
Book Details
Format
Paperback / Softback
Book Series
Memoirs of the American Mathematical Society
ISBN-10
1470465485
ISBN-13
9781470465483
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jul 31st, 2023
Print length
101 Pages
Product Classification:
Calculus & mathematical analysisProbability & statistics
Ksh 13,150.00
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We study a class of measure-theoretic objects that we call cubic couplings, on which there is a common generalization of the Gowers norms and the Host– Kra seminorms. Our main result yields a complete structural description of cubic couplings, using nilspaces. We give three applications.
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