Pointwise convergence of ergodic averages for polynomial actions of $\mathbb{Z}^{d}$ by translations on a nilmanifold
From MaRDI portal
Publication:4682048
DOI10.1017/S0143385704000227zbMath1080.37004OpenAlexW1976322519MaRDI QIDQ4682048
Publication date: 9 June 2005
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0143385704000227
Homogeneous spaces (22F30) General groups of measure-preserving transformations (28D15) Homogeneous flows (37A17)
Related Items (30)
Distribution of values of bounded generalized polynomials ⋮ Some open problems on multiple ergodic averages ⋮ From discrete- to continuous-time ergodic theorems ⋮ Pointwise convergence for cubic and polynomial multiple ergodic averages of non-commuting transformations ⋮ Multiple ergodic averages for flows and an application ⋮ Seminorms for multiple averages along polynomials and applications to joint ergodicity ⋮ Single and multiple recurrence along non-polynomial sequences ⋮ Convergence of polynomial ergodic averages of several variables for some commuting transformations ⋮ Sparse generalised polynomials ⋮ Polynomial orbits in totally minimal systems ⋮ The quantitative behaviour of polynomial orbits on nilmanifolds ⋮ Nilsequences and multiple correlations along subsequences ⋮ Uniform distribution in nilmanifolds along functions from a Hardy field ⋮ Multiple recurrence and popular differences for polynomial patterns in rings of integers ⋮ Multiple ergodic averages for three polynomials and applications ⋮ Intersective polynomials and the polynomial Szemerédi theorem ⋮ Orbit of the diagonal in the power of a nilmanifold ⋮ Weighted multiple ergodic averages and correlation sequences ⋮ Sets of large values of correlation functions for polynomial cubic configurations ⋮ Multiple polynomial correlation sequences and nilsequences ⋮ A canonical form and the distribution of values of generalized polynomials ⋮ Nilsequences, null-sequences, and multiple correlation sequences ⋮ Combinatorial properties of Nil-Bohr sets ⋮ Convergence of multiple ergodic averages along polynomials of several variables ⋮ STATISTICAL FUZZY CONVERGENCE ⋮ Polynomial multiple recurrence over rings of integers ⋮ O-minimal flows on nilmanifolds ⋮ Multiple recurrence for non-commuting transformations along rationally independent polynomials ⋮ A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems ⋮ Pleasant extensions retaining algebraic structure. II
This page was built for publication: Pointwise convergence of ergodic averages for polynomial actions of $\mathbb{Z}^{d}$ by translations on a nilmanifold