Pablo Shmerkin

871 total citations
30 papers, 327 citations indexed

About

Pablo Shmerkin is a scholar working on Mathematical Physics, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Pablo Shmerkin has authored 30 papers receiving a total of 327 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Mathematical Physics, 10 papers in Geometry and Topology and 7 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Pablo Shmerkin's work include Mathematical Dynamics and Fractals (26 papers), Limits and Structures in Graph Theory (7 papers) and Advanced Topology and Set Theory (6 papers). Pablo Shmerkin is often cited by papers focused on Mathematical Dynamics and Fractals (26 papers), Limits and Structures in Graph Theory (7 papers) and Advanced Topology and Set Theory (6 papers). Pablo Shmerkin collaborates with scholars based in Argentina, Finland and United Kingdom. Pablo Shmerkin's co-authors include Yuval Peres, Boris Solomyak, Michael Hochman, Tuomas Orponen, Tamás Keleti, Antti Käenmäki, Jonathan M. Fraser, Fëdor Nazarov, Thomas Jordan and Esa Järvenpää and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Duke Mathematical Journal.

In The Last Decade

Pablo Shmerkin

26 papers receiving 306 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Pablo Shmerkin Argentina	12	282	99	75	61	56	30	327
Thierry Bousch France	6	224 0.8×	114 1.2×	88 1.2×	107 1.8×	38 0.7×	12	307
Huo-Jun Ruan China	11	378 1.3×	94 0.9×	171 2.3×	89 1.5×	50 0.9×	32	409
Andreas Schief Germany	6	326 1.2×	129 1.3×	82 1.1×	95 1.6×	73 1.3×	12	374
Victor Beresnevich United Kingdom	14	557 2.0×	317 3.2×	94 1.3×	102 1.7×	174 3.1×	41	617
Antal A. Járai Hungary	11	223 0.8×	76 0.8×	27 0.4×	50 0.8×	149 2.7×	52	393
Lei Tan France	10	606 2.1×	459 4.6×	205 2.7×	100 1.6×	168 3.0×	30	681
Weixiao Shen China	12	347 1.2×	170 1.7×	198 2.6×	40 0.7×	81 1.4×	35	380
Viorel Niţică United States	11	220 0.8×	179 1.8×	115 1.5×	99 1.6×	34 0.6×	49	338
Huyi Hu United States	13	448 1.6×	107 1.1×	262 3.5×	28 0.5×	42 0.8×	28	464
Carlos Gustavo Moreira Brazil	13	329 1.2×	208 2.1×	121 1.6×	136 2.2×	53 0.9×	72	488

Countries citing papers authored by Pablo Shmerkin

Since Specialization

Citations

This map shows the geographic impact of Pablo Shmerkin'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 Pablo Shmerkin with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Pablo Shmerkin more than expected).

Fields of papers citing papers by Pablo Shmerkin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Pablo Shmerkin. 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 Pablo Shmerkin. The network helps show where Pablo Shmerkin may publish in the future.

Co-authorship network of co-authors of Pablo Shmerkin

This figure shows the co-authorship network connecting the top 25 collaborators of Pablo Shmerkin. A scholar is included among the top collaborators of Pablo Shmerkin 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 Pablo Shmerkin. Pablo Shmerkin is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Shmerkin, Pablo & Hong Wang. (2025). On the Distance Sets Spanned by Sets of Dimension d/2 in $\mathbb{R}^{d}$. Geometric and Functional Analysis. 35(1). 283–358.

Shmerkin, Pablo & Hong Wang. (2024). Dimensions of Furstenberg sets and an extensionof Bourgain’s projection theorem. Analysis & PDE. 18(1). 265–278.

Orponen, Tuomas, Pablo Shmerkin, & Hong Wang. (2023). Incidence Problems in Harmonic Analysis, Geometric Measure Theory, and Ergodic Theory. Oberwolfach Reports. 20(2). 1397–1452.

Orponen, Tuomas & Pablo Shmerkin. (2023). On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane. Duke Mathematical Journal. 172(18). 12 indexed citations

Shmerkin, Pablo, et al.. (2022). An improved bound for the dimension of (α,2α)-Furstenberg sets. Repository of the Academy's Library (Library of the Hungarian Academy of Sciences). 6 indexed citations

Shmerkin, Pablo. (2022). A non-linear version of Bourgain’s projection theorem. Journal of the European Mathematical Society. 25(10). 4155–4204. 10 indexed citations

Shmerkin, Pablo, et al.. (2020). Patterns in random fractals. University of Oulu Repository (University of Oulu). 4 indexed citations

Fraser, Jonathan M., et al.. (2019). Improved bounds on the dimensions of sets that avoid approximate\n arithmetic progressions. arXiv (Cornell University).

Falconer, K. J., Jonathan M. Fraser, & Pablo Shmerkin. (2019). Assouad dimension influences the box and packing dimensions of\n orthogonal projections. arXiv (Cornell University). 5 indexed citations

10.

Shmerkin, Pablo, et al.. (2018). Spatially independent martingales, intersections, and applications. University of Oulu Repository (University of Oulu). 17 indexed citations

11.

Shmerkin, Pablo, et al.. (2018). Absolute continuity of non-homogeneous self-similar measures. Advances in Mathematics. 335. 60–110. 10 indexed citations

12.

Hochman, Michael & Pablo Shmerkin. (2015). Equidistribution from fractal measures. CONICET Digital (CONICET). 21 indexed citations

13.

Fraser, Jonathan M. & Pablo Shmerkin. (2015). On the dimensions of a family of overlapping self-affine carpets. Ergodic Theory and Dynamical Systems. 36(8). 2463–2481. 6 indexed citations

14.

Järvenpää, Esa, et al.. (2012). Visible parts of fractal percolation. Proceedings of the Edinburgh Mathematical Society. 55(2). 311–331. 9 indexed citations

15.

Nazarov, Fëdor, Yuval Peres, & Pablo Shmerkin. (2011). Convolutions of cantor measures without resonance. Israel Journal of Mathematics. 187(1). 93–116. 13 indexed citations

16.

Jordan, Thomas, et al.. (2010). The Hausdorff dimension of the projections of self-affine carpets. Fundamenta Mathematicae. 209(3). 193–213. 11 indexed citations

17.

Peres, Yuval & Pablo Shmerkin. (2008). Resonance between Cantor sets. Ergodic Theory and Dynamical Systems. 29(1). 201–221. 46 indexed citations

18.

Käenmäki, Antti & Pablo Shmerkin. (2008). Overlapping self-affine sets of Kakeya type. Ergodic Theory and Dynamical Systems. 29(3). 941–965. 11 indexed citations

19.

Shmerkin, Pablo. (2006). Overlapping self-affine sets. Indiana University Mathematics Journal. 55(4). 1291–1332. 15 indexed citations

20.

Shmerkin, Pablo. (2005). A Modified Multifractal Formalism for a Class of Self-similar Measures with Overlap. Asian Journal of Mathematics. 9(3). 323–348. 24 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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