Orbit of the diagonal in the power of a nilmanifold
From MaRDI portal
Publication:3550549
DOI10.1090/S0002-9947-09-04961-7zbMath1191.37016OpenAlexW2122453490MaRDI QIDQ3550549
Publication date: 31 March 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-09-04961-7
Related Items (19)
On several notions of complexity of polynomial progressions ⋮ Some open problems on multiple ergodic averages ⋮ Multiple ergodic averages for flows and an application ⋮ A continuous model for systems of complexity 2 on simple abelian groups ⋮ The quantitative behaviour of polynomial orbits on nilmanifolds ⋮ Sarnak's conjecture for nilsequences on arbitrary number fields and applications ⋮ Multiple recurrence and convergence for Hardy sequences of polynomial growth ⋮ Linear forms and higher-degree uniformity for functions on \(\mathbb F^n_p\) ⋮ Multiple ergodic averages for three polynomials and applications ⋮ Optimal lower bounds for multiple recurrence ⋮ Intersective polynomials and the polynomial Szemerédi theorem ⋮ Sets of large values of correlation functions for polynomial cubic configurations ⋮ True complexity of polynomial progressions in finite fields ⋮ Nil Bohr\(_0\)-sets and polynomial recurrence ⋮ Nilsequences, null-sequences, and multiple correlation sequences ⋮ Möbius disjointness for nilsequences along short intervals ⋮ A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems ⋮ Linear forms and quadratic uniformity for functions on \(\mathbb{Z}_{N}\) ⋮ Pleasant extensions retaining algebraic structure. II
Cites Work
- Unnamed Item
- Unnamed Item
- Convergence of polynomial ergodic averages
- Polynomial averages converge to the product of integrals
- Complexities of finite families of polynomials, Weyl systems, and constructions in combinatorial number theory
- Intersective polynomials and the polynomial Szemerédi theorem
- Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
- Polynomial sequences in groups
- Polynomial mappings of groups
- Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa)
- Convergence of multiple ergodic averages along polynomials of several variables
- Nonconventional ergodic averages and nilmanifolds
- Universal characteristic factors and Furstenberg averages
- Sur une nil-variété, les parties minimales associées à une translation sont uniquement ergodiques
- Multiple ergodic averages for three polynomials and applications
- Orbits on a nilmanifold under the action of a polynomial sequence of translations
- Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold
- Pointwise convergence of ergodic averages for polynomial actions of $\mathbb{Z}^{d}$ by translations on a nilmanifold
- Rational sub-nilmanifolds of a compact nilmanifold
- A non-conventional ergodic theorem for a nilsystem
- The true complexity of a system of linear equations
This page was built for publication: Orbit of the diagonal in the power of a nilmanifold
