£60.78

Nilspace Factors for General Uniformity Seminorms Cubic Exchangeability and Limits: Volume: 287 Number: 1425 (Memoirs of the American Mathematical Society)

Mathematical Analysis

Price data last checked 8 day(s) ago - will refresh soon

View at Amazon

We'll watch every seller, every day. One email when your price arrives.

This is the most expensive it has ever been. Walk away.

£61 today · previous high £61 · all-time low £60

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 83 days · 83 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 83 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £61 (56 days, 67.5%)

Price range: £60 - £61

Price levels: 2 different prices over 83 days

Description

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. Firstly, we describe the characteristic factors of Host–Kra type seminorms for measure-preserving actions of countable nilpotent groups. This yields an extension of the structure theorem of Host and Kra. Secondly, we characterize sequences of random variables with a property that we call cubic exchangeability. These are sequences indexed by the infinite discrete cube, such that for every integer k ≥ 0 the joint distribution's marginals on affine subcubes of dimension k are all equal. In particular, our result gives a description, in terms of compact nilspaces, of a related exchangeability property considered by Austin, inspired by a problem of Aldous. Finally, using nilspaces we obtain limit objects for sequences of functions on compact abeliangroups (more generally on compact nilspaces) such that the densities of certain patterns in these functions converge. The paper thus proposes a measure-theoretic framework on which the area of higher-order Fourier analysis can be based, and which yields new applications of this area in a unified way in ergodic theory and arithmetic combinatorics.

Product Specifications

Format: paperback
ASIN: 1470465485
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 31 July 2023
Listed Since: 18 August 2023

Barcode

No barcode data available

Nilspace Factors for General Uniformity Seminorms Cubic Exchangeability and Limits: Volume: 287 Number: 1425 (Memoirs of the American Mathematical Society)

This is the most expensive it has ever been. Walk away.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Spectral Expansions of Non-Self-Adjoint Generalized Laguerre Semigroups: 272 (Memoirs of the American Mathematical Society)

Stable Probability Measures on Euclidean Spaces and on Locally Compact Groups: Structural Properties and Limit Theorems: 531 (Mathematics and Its Applications, 531)

Ergodic Theorems for Group Actions: Informational and Thermodynamical Aspects: 78 (Mathematics and Its Applications, 78)

On the Convergence of Symbol C Kf(n Kx) (Memoirs of the American Mathematical Society)

Composition Operators on Hardy-Orlicz Spaces (Memoirs of the American Mathematical Society)

Subset currents on surfaces (Memoirs of the American Mathematical Society)

Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations

Harmonic Analysis On Hypergroups: Approximation And Stochastic Sequences: 0 (Series On Multivariate Analysis)

Automorphisms of Two-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane (Memoirs of the American Mathematical Society)

Asymptotic Counting in Conformal Dynamical Systems (Memoirs of the American Mathematical Society)

Probability Measures on Semigroups: Convolution Products, Random Walks and Random Matrices (Probability and Its Applications)

Harmonic Analysis on Symmetric Spaces―Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs: 272 (Memoirs of the American Mathematical Society)

Hilbert Modular Forms: mod $p$ and $p$-Adic Aspects (Memoirs of the American Mathematical Society)

Monoidal Categories and the Gerstenhaber Bracket in Hochschild Cohomology (Memoirs of the American Mathematical Society)

Nilpotent Groups and Their Automorphisms: 8 (De Gruyter Expositions in Mathematics, 8)

Noncommutative Probability: 305 (Mathematics and Its Applications, 305)

Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $q(n)$ (Memoirs of the American Mathematical Society)

Invariant Subspaces: 77 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, 77)

On Necessary and Sufficient Conditions for $Lp$-Estimates of Riesz Transforms Associated to Elliptic Operators on $mathbb{R}n$ and Related Estimates (Memoirs of the American Mathematical Society)

Unimodality of Probability Measures: 382 (Mathematics and Its Applications, 382)

Measure, Integration And Function Spaces

Analytic Endomorphisms of the Riemann Sphere: 69 (De Gruyter Expositions in Mathematics, 69/7)

Compactifications of Symmetric and Locally Symmetric Spaces (Mathematics: Theory & Applications)