2026 Pertti Mattila: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	32	3121	2781	23	21	140	6938

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

3121

2781

140

6938

Overview

Pertti Mattila is affiliated with the University of Helsinki in Finland and has contributed extensively to the field of Mathematics. Their research spans multiple subfields, including Mathematical Physics, Geometry and Topology, Applied Mathematics, Computational Theory and Mathematics, and Computational Mechanics.

The main topics covered in their work include:

Mathematical Dynamics and Fractals
Advanced Topology and Set Theory
Advanced Numerical Analysis Techniques
Advanced mathematical theories
Point processes and geometric inequalities
Advanced Mathematical Modeling in Engineering
Approximation Theory and Sequence Spaces

Mattila's recent papers illustrate ongoing research interests related to dimensions and intersections in mathematical contexts. Notable publications include:

Hausdorff dimension and projections related to intersections (2022) - Publicacions Matemàtiques
A Survey on the Hausdorff Dimension of Intersections (2023) - Mathematical and Computational Applications
Hausdorff dimension of plane sections and general intersections (2024) - Bulletin of the London Mathematical Society
Parabolic rectifiability, tangent planes and tangent measures (2022) - Annales Fennici Mathematici
Hausdorff dimension of intersections with planes and general sets (2021) - Journal of Fractal Geometry Mathematics of Fractals and Related Topics

The scientist has worked with several frequent co-authors, including:

Juan Jesús Donaire
Joan Verdera
J. Cufí
Julià Cufí
Alex Iosevich

Mattila's publications have appeared in diverse venues, with multiple contributions to arXiv (Cornell University). Other frequent publication venues include:

Publicacions Matemàtiques
Mathematical and Computational Applications
Bulletin of the London Mathematical Society
Annales Fennici Mathematici

Beyond articles, the scientist has published a book titled Rectifiability in 2022 with Cambridge University Press.

Best Publications

Geometry of Sets and Measures in Euclidean Spaces

Unknown

1950
Citations
Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability

Pertti Mattila

1740
Citations
The Cauchy integral, analytic capacity, and uniform rectifiability

Pertti Mattila;Mark S. Melnikov;Joan Verdera

283
Citations
Hausdorff dimension, orthogonal projections and intersections with planes

Pertti Mattila

237
Citations
Fourier Analysis and Hausdorff Dimension

Pertti Mattila

217
Citations
Spherical averages of Fourier transforms of measures with finite energy; dimensions of intersections and distance sets

Pertti Mattila

213
Citations
Removable sets for Lipschitz harmonic functions in the plane

Guy David;Pertti Mattila

179
Citations
BMO for nondoubling measures

J. Mateu;P. Mattila;A. Nicolau;J. Orobitg

165
Citations
Measure and dimension functions: measurability and densities

Pertti Mattila;R. Daniel Mauldin

105
Citations
Hausdorff dimension, projections, and the Fourier transform

Pertti Mattila

104
Citations
Distribution of Sets and Measures Along Planes

Pertti Mattila

83
Citations
On geometric properties of harmonic Lip<sub>1</sub>-capacity

Unknown

82
Citations
Characterizations of intrinsic rectifiability in Heisenberg groups

Pertti Mattila;Raul Serapioni;Francesco Serra Cassano

78
Citations
Rectifiable Measures in Rn and Existence of Principal Values for Singular Integrals

Pertti Mattila;David Preiss

76
Citations
AHLFORS-DAVID REGULAR SETS AND BILIPSCHITZ MAPS

Pertti Mattila;Pirjo Saaranen

74
Citations
Hausdorff $m$ regular and rectifiable sets in $n$-space

Pertti Mattila

68
Citations
The packing dimension of projections and sections of measures

Kenneth J. Falconer;Pertti Mattila

67
Citations
Hausdorff dimension and capacities of intersections of sets in n-space

Pertti Mattila

64
Citations
Existence and weak-type inequalities for Cauchy integrals of general measures on rectifiable curves and sets

Pertti Mattila;Mark S. Melnikov

63
Citations
On the analytic capacity and curvature of some Cantor sets with non-$\sigma$-finite length

Pertti Mattila

61
Citations
Smooth maps, null-sets for integralgeometric measure and analytic capacity

Pertti Mattila

61
Citations
Geometry of Sets and Measures in Euclidean Spaces: Covering and differentiation

Pertti Mattila

0
Citations
Geometry of Sets and Measures in Euclidean Spaces: Rectifiability and singular integrals

Pertti Mattila

0
Citations

Frequent Co-Authors

Kenneth Falconer University of St Andrews

Matti Vuorinen University of Turku

Guy David University of Paris-Saclay

External Links

Personal website of Pertti Mattila

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