Seminorms for multiple averages along polynomials and applications to joint ergodicity
From MaRDI portal
Publication:2164771
DOI10.1007/s11854-021-0186-zzbMath1503.37014arXiv1902.10237OpenAlexW4225544955MaRDI QIDQ2164771
Wenbo Sun, Andreas Koutsogiannis, Sebastián Donoso
Publication date: 17 August 2022
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.10237
Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Relations between ergodic theory and number theory (37A44)
Related Items (5)
Joint ergodicity of Hardy field sequences ⋮ Multiple ergodic averages for variable polynomials ⋮ Seminorm control for ergodic averages with commuting transformations along pairwise dependent polynomials ⋮ Decomposition of multicorrelation sequences and joint ergodicity ⋮ Joint ergodicity of sequences
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Norm convergence of nilpotent ergodic averages
- Convergence of polynomial ergodic averages of several variables for some commuting transformations
- Polynomial averages converge to the product of integrals
- Jointly ergodic measure-preserving transformations
- Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
- Convergence of multiple ergodic averages along polynomials of several variables
- Polynomial ergodic averages for certain countable ring actions
- Pleasant extensions retaining algebraic structure. I
- Pleasant extensions retaining algebraic structure. II
- Nonconventional ergodic averages and nilmanifolds
- Nilfactors of \(\mathbb R^m\) and configurations in sets of positive upper density in \(\mathbb R^m\)
- Concatenation theorems for anti-Gowers-uniform functions and Host-Kra characteristic factors
- Joint ergodicity along generalized linear functions
- Ergodic averages of commuting transformations with distinct degree polynomial iterates
- Ergodic seminorms for commuting transformations and applications
- Universal characteristic factors and Furstenberg averages
- On the norm convergence of non-conventional ergodic averages
- Weakly mixing PET
- Integer part polynomial correlation sequences
- Pointwise convergence of ergodic averages for polynomial actions of $\mathbb{Z}^{d}$ by translations on a nilmanifold
- Weak ergodic averages over dilated measures
- Integer part independent polynomial averages and applications along primes
- A multidimensional Szemerédi theorem for Hardy sequences of different growth
- Norm convergence of multiple ergodic averages for commuting transformations
- Ergodic Theory
- Joint ergodicity of fractional powers of primes
This page was built for publication: Seminorms for multiple averages along polynomials and applications to joint ergodicity
