Polynomial averages and pointwise ergodic theorems on nilpotent groups
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2022/09/27
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Journal
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Indian UGC (journal)
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Refrences57
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Citations4
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Alexandru D. Ionescu
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Ákos Magyar
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Mariusz Mirek
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Tomasz Z. Szarek
Cite
Ionescu, Alexandru D., et al. “Polynomial Averages and Pointwise Ergodic Theorems on Nilpotent Groups”. Inventiones Mathematicae, vol. 231, no. 3, 2022, pp. 1023-40, https://doi.org/10.1007/s00222-022-01159-0.
Ionescu, A. D., Magyar, Ákos, Mirek, M., & Szarek, T. Z. (2022). Polynomial averages and pointwise ergodic theorems on nilpotent groups. Inventiones Mathematicae, 231(3), 1023-1140. https://doi.org/10.1007/s00222-022-01159-0
Ionescu AD, Magyar Ákos, Mirek M, Szarek TZ. Polynomial averages and pointwise ergodic theorems on nilpotent groups. Inventiones mathematicae. 2022;231(3):1023-140.
Journal Category
Science
Mathematics
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Pointwise ergodic theorems for non-conventional bilinear polynomial averages | Annals of Mathematics |
| 7 | 2022 |
| Jump inequalities via real interpolation | Mathematische Annalen |
| 13 | 2020 |
| A bootstrapping approach to jump inequalities and their applications | Analysis & PDE | 15 | 2020 | |
| $$\ell ^p\left( \mathbb {Z}^d\right) $$ ℓ p Z d -estimates for discrete operators of Radon type: variational estimates | Inventiones mathematicae |
| 41 | 2017 |
| Norm convergence of nilpotent ergodic averages | Annals of Mathematics |
| 44 | 2012 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 15 |
| Science: Science (General) | 3 |
The category
Science: Mathematics 15
is the most frequently represented among the references in this article. It primarily includes studies from Israel Journal of Mathematics The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Polynomial ergodic averages of measure-preserving systems acted by Zd | Journal of Differential Equations |
| 2024 | |
Sharp constants in inequalities admitting the Calderón transference principle | Ergodic Theory and Dynamical Systems |
| 2023 | |
On a multi-parameter variant of the Bellow–Furstenberg problem | Forum of Mathematics, Pi |
| 2023 | |
Polynomial sequences in discrete nilpotent groups of step 2 | Advanced Nonlinear Studies |
| 2023 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 4 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 3 |
The category
Science: Mathematics 4
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled On a multi-parameter variant of the Bellow–Furstenberg problem and was published in 2023. The most recent citation comes from a 2024 study titled Polynomial ergodic averages of measure-preserving systems acted by Zd. This article reached its peak citation in 2023, with 3 citations. It has been cited in 4 different journals, 50% of which are open access. Among related journals, the Journal of Differential Equations cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.