Pertti Mattila

5.4k total citations · 2 hit papers
72 papers, 3.2k citations indexed

About

Pertti Mattila is a scholar working on Mathematical Physics, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Pertti Mattila has authored 72 papers receiving a total of 3.2k indexed citations (citations by other indexed papers that have themselves been cited), including 43 papers in Mathematical Physics, 42 papers in Applied Mathematics and 36 papers in Geometry and Topology. Recurrent topics in Pertti Mattila's work include Mathematical Dynamics and Fractals (36 papers), Advanced Topology and Set Theory (17 papers) and Advanced Harmonic Analysis Research (14 papers). Pertti Mattila is often cited by papers focused on Mathematical Dynamics and Fractals (36 papers), Advanced Topology and Set Theory (17 papers) and Advanced Harmonic Analysis Research (14 papers). Pertti Mattila collaborates with scholars based in Finland, Spain and United States. Pertti Mattila's co-authors include Mark Melnikov, Joan Verdera, Guy C. David, Петр Владимирович Парамонов, Joan Orobitg, Jaume Mateu, Artur Nicolau, R. Daniel Mauldin, K. J. Falconer and Miguel Ángel Martı́n and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Pertti Mattila

70 papers receiving 2.8k citations

Hit Papers

Geometry of Sets and Measures in Euclidean Spaces 1995 2026 2005 2015 1995 1995 400 800 1.2k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Geometry of Sets and Measures in Euclidean Spaces
    1995 1.3k citations Pertti Mattila Cambridge University Press eBooks profile →
  2. Geometry of sets and measures in Euclidean spaces fractals and rectifiability
    1995 553 citations Pertti Mattila profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Pertti Mattila Finland 23 2.1k 1.7k 1.2k 667 286 72 3.2k
Ka‐Sing Lau Hong Kong 32 2.3k 1.1× 1.3k 0.7× 524 0.4× 637 1.0× 605 2.1× 125 3.1k
T. W. Gamelin United States 23 1.8k 0.8× 2.1k 1.2× 861 0.7× 591 0.9× 190 0.7× 60 3.5k
Lennart Carleson Sweden 25 1.8k 0.8× 2.6k 1.5× 1.1k 0.9× 423 0.6× 614 2.1× 49 3.8k
Laurent Saloff‐Coste United States 23 1.6k 0.8× 1.5k 0.9× 803 0.7× 648 1.0× 182 0.6× 80 3.1k
A. M. Vershik Russia 28 1.5k 0.7× 443 0.3× 962 0.8× 478 0.7× 308 1.1× 172 2.7k
M. S. Ramanujan United States 11 1.6k 0.7× 1.1k 0.6× 789 0.7× 860 1.3× 143 0.5× 44 2.9k
Dennis Sullivan France 37 4.1k 2.0× 1.9k 1.1× 4.1k 3.4× 498 0.7× 771 2.7× 80 5.7k
Jean‐Pierre Kahane France 17 948 0.4× 826 0.5× 336 0.3× 244 0.4× 83 0.3× 79 1.8k
Alessio Figalli United States 30 664 0.3× 1.9k 1.1× 587 0.5× 651 1.0× 209 0.7× 124 2.5k
Luís Barreira Portugal 25 1.9k 0.9× 771 0.4× 607 0.5× 471 0.7× 1.3k 4.5× 238 3.1k

Countries citing papers authored by Pertti Mattila

Since Specialization
Citations

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

Fields of papers citing papers by Pertti Mattila

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Pertti Mattila

This figure shows the co-authorship network connecting the top 25 collaborators of Pertti Mattila. A scholar is included among the top collaborators of Pertti Mattila 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 Pertti Mattila. Pertti Mattila 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.
Mattila, Pertti. (2023). A Survey on the Hausdorff Dimension of Intersections. Mathematical and Computational Applications. 28(2). 49–49. 2 indexed citations
2.
Mattila, Pertti. (2022). Rectifiability. Cambridge University Press eBooks. 2 indexed citations
3.
Falconer, K. J. & Pertti Mattila. (2015). Strong Marstrand theorems and dimensions of sets formed by subsets of\n hyperplanes. arXiv (Cornell University). 4 indexed citations
4.
Balogh, Zoltán M., et al.. (2013). The effect of projections on dimension in the Heisenberg group. Revista Matemática Iberoamericana. 29(2). 381–432. 11 indexed citations
5.
Balogh, Zoltán M., et al.. (2012). Projection and slicing theorems in Heisenberg groups. Advances in Mathematics. 231(2). 569–604. 15 indexed citations
6.
Mattila, Pertti, et al.. (2010). Singular Integrals on Ahlfors-David Regular Subsets of the Heisenberg Group. Journal of Geometric Analysis. 21(1). 56–77. 5 indexed citations
7.
Mattila, Pertti & Joan Verdera. (2009). Convergence of singular integrals with general measures. Journal of the European Mathematical Society. 11(2). 257–271. 14 indexed citations
8.
Lin, Yong & Pertti Mattila. (2000). Menger curvature and 𝐶¹ regularity of fractals. Proceedings of the American Mathematical Society. 129(6). 1755–1762. 7 indexed citations
9.
Martı́n, Miguel Ángel & Pertti Mattila. (2000). On the parametrization of self-similar and other fractal sets. Proceedings of the American Mathematical Society. 128(9). 2641–2648. 5 indexed citations
10.
Mattila, Pertti & R. Daniel Mauldin. (1997). Measure and dimension functions: measurability and densities. Mathematical Proceedings of the Cambridge Philosophical Society. 121(1). 81–100. 39 indexed citations
11.
Mattila, Pertti. (1995). Geometry of sets and measures in Euclidean spaces fractals and rectifiability. 553 indexed citations breakdown →
12.
Mattila, Pertti. (1995). Cauchy Singular Integrals and Rectifiability of Measures in the Plane. Advances in Mathematics. 115(1). 1–34. 15 indexed citations
13.
Mattila, Pertti & Mark Melnikov. (1994). Existence and weak-type inequalities for Cauchy integrals of general measures on rectifiable curves and sets. Proceedings of the American Mathematical Society. 120(1). 143–149. 18 indexed citations
14.
Mattila, Pertti & Mark Melnikov. (1994). Existence and Weak-Type Inequalities for Cauchy Integrals of General Measures on Rectifiable Curves and Sets. Proceedings of the American Mathematical Society. 120(1). 143–143. 8 indexed citations
15.
Martı́n, Miguel Ángel & Pertti Mattila. (1993). Hausdorff measures, Hölder continuous maps and self-similar fractals. Mathematical Proceedings of the Cambridge Philosophical Society. 114(1). 37–42. 5 indexed citations
16.
Mattila, Pertti. (1990). ORTHOGONAL PROJECTIONS, RIESZ CAPACITIES, AND MINKOWSKI CONTENT. Indiana University Mathematics Journal. 39. 185–198. 23 indexed citations
17.
Martı́n, Miguel Ángel & Pertti Mattila. (1988). k-Dimensional Regularity Classifications for s-Fractals. Transactions of the American Mathematical Society. 305(1). 293–293. 7 indexed citations
18.
Mattila, Pertti. (1985). A class of sets with positive length and zero analytic capacity. Annales Academiae Scientiarum Fennicae Series A I Mathematica. 10. 387–395. 9 indexed citations
19.
Mattila, Pertti. (1983). Lower semicontinuity, existence and regularity theorems for elliptic variational integrals of multiple valued functions. Transactions of the American Mathematical Society. 280(2). 589–610. 10 indexed citations
20.
Kaufman, Robert & Pertti Mattila. (1975). Hausdorff dimension and exceptional sets of linear transformations. Annales Academiae Scientiarum Fennicae Series A I Mathematica. 1. 387–392. 19 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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