Mariusz Mirek

403 total citations
21 papers, 155 citations indexed

About

Mariusz Mirek is a scholar working on Applied Mathematics, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Mariusz Mirek has authored 21 papers receiving a total of 155 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Applied Mathematics, 11 papers in Mathematical Physics and 5 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Mariusz Mirek's work include Advanced Harmonic Analysis Research (13 papers), Mathematical Approximation and Integration (5 papers) and Mathematical Analysis and Transform Methods (5 papers). Mariusz Mirek is often cited by papers focused on Advanced Harmonic Analysis Research (13 papers), Mathematical Approximation and Integration (5 papers) and Mathematical Analysis and Transform Methods (5 papers). Mariusz Mirek collaborates with scholars based in Poland, United States and Germany. Mariusz Mirek's co-authors include Elias M. Stein, Jean Bourgain, Ben Krause, Pavel Zorin‐Kranich, Terence Tao, Dariusz Buraczewski, Ewa Damek, James Wright, Tomasz Szarek and Jacek Zienkiewicz and has published in prestigious journals such as Annals of Mathematics, Inventiones mathematicae and Advances in Mathematics.

In The Last Decade

Mariusz Mirek

17 papers receiving 150 citations

Peers

Mariusz Mirek
Idris Assani United States
Alexandra Bellow United States
Charles N. Moore United States
Dorothy Maharam United States
Marc Yor France
Idris Assani United States
Mariusz Mirek
Citations per year, relative to Mariusz Mirek Mariusz Mirek (= 1×) peers Idris Assani

Countries citing papers authored by Mariusz Mirek

Since Specialization
Citations

This map shows the geographic impact of Mariusz Mirek's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Mariusz Mirek with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Mariusz Mirek more than expected).

Fields of papers citing papers by Mariusz Mirek

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mariusz Mirek. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Mariusz Mirek. The network helps show where Mariusz Mirek may publish in the future.

Co-authorship network of co-authors of Mariusz Mirek

This figure shows the co-authorship network connecting the top 25 collaborators of Mariusz Mirek. A scholar is included among the top collaborators of Mariusz Mirek based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Mariusz Mirek. Mariusz Mirek is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Krause, Ben, et al.. (2024). Polynomial progressions in topological fields. Forum of Mathematics Sigma. 12.
2.
Iosevich, Alex, et al.. (2023). Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres. Mathematische Annalen. 388(2). 2041–2120.
3.
Mirek, Mariusz, et al.. (2023). Dimension-Free Estimates for the Discrete Spherical Maximal Functions. International Mathematics Research Notices. 2024(2). 901–963. 1 indexed citations
4.
Bourgain, Jean, Mariusz Mirek, Elias M. Stein, & James Wright. (2023). On a multi-parameter variant of the Bellow–Furstenberg problem. 11. 1 indexed citations
5.
Krause, Ben, Mariusz Mirek, & Terence Tao. (2022). Pointwise ergodic theorems for non-conventional bilinear polynomial averages. Annals of Mathematics. 195(3). 8 indexed citations
6.
Mirek, Mariusz, et al.. (2022). Some remarks on dimension-free estimates for the discrete Hardy—Littlewood maximal functions. Israel Journal of Mathematics. 254(1). 1–38. 2 indexed citations
7.
Mirek, Mariusz, et al.. (2022). Some remarks on oscillation inequalities. Ergodic Theory and Dynamical Systems. 43(10). 3383–3412. 6 indexed citations
8.
Mirek, Mariusz, Elias M. Stein, & Pavel Zorin‐Kranich. (2020). Jump inequalities for translation-invariant operators of Radon type on Zd. Advances in Mathematics. 365. 107065–107065. 12 indexed citations
9.
Bourgain, Jean, et al.. (2019). Dimension-Free Estimates for Discrete Hardy-Littlewood Averaging Operators Over the Cubes in ℤd. American Journal of Mathematics. 141(4). 587–905. 5 indexed citations
10.
Mirek, Mariusz, et al.. (2018). p ( Z d ) -estimates for discrete operators of Radon type: Maximal functions and vector-valued estimates. Journal of Functional Analysis. 277(8). 2471–2521. 13 indexed citations
11.
Bourgain, Jean, et al.. (2018). On Dimension-Free Variational Inequalities for Averaging Operators in $${\mathbb{R}^d}$$ R d. Geometric and Functional Analysis. 28(1). 58–99. 13 indexed citations
12.
Krause, Ben, et al.. (2017). Two-parameter version of Bourgain's inequality: Rational frequencies. Advances in Mathematics. 323. 720–744.
13.
Mirek, Mariusz, et al.. (2017). $$\ell ^p\left( \mathbb {Z}^d\right) $$ ℓ p Z d -estimates for discrete operators of Radon type: variational estimates. Inventiones mathematicae. 209(3). 665–748. 35 indexed citations
14.
Krause, Ben, et al.. (2016). On the Hardy–Littlewood majorant problem for arithmetic sets. Journal of Functional Analysis. 271(1). 164–181. 3 indexed citations
15.
16.
Buraczewski, Dariusz, et al.. (2013). Heavy tailed solutions of multivariate smoothing transforms. Stochastic Processes and their Applications. 123(6). 1947–1986. 10 indexed citations
17.
Mirek, Mariusz. (2012). On fixed points of a generalized multidimensional affine recursion. Probability Theory and Related Fields. 156(3-4). 665–705. 6 indexed citations
18.
Damek, Ewa, et al.. (2012). Convergence to Stable Laws for Multidimensional Stochastic Recursions: The Case of Regular Matrices. Potential Analysis. 38(3). 683–697. 3 indexed citations
19.
Mirek, Mariusz. (2010). Convergence to stable laws and a local limit theorem for stochastic recursions. Colloquium Mathematicum. 118(2). 705–720.
20.
Mirek, Mariusz. (2010). Heavy tail phenomenon and convergence to stable laws for iterated Lipschitz maps. Probability Theory and Related Fields. 151(3-4). 705–734. 31 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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