P. Mattila
Applied Mathematics · with Balogh · 2000–2015
A researcher in the Science corpus: 7 papers; trusts 11 researchers and is trusted by 20 researchers here, as inferred from the citation graph.
Subfields
- Applied Mathematics — 24 citations into it; #2,773 of 7,620 by trust here, #1,958 by citations
- Geometry and Topology — 16 citations into it; #2,565 of 7,422 by trust here, #3,228 by citations
- Mathematical Physics — 15 citations into it; #1,424 of 8,562 by trust here, #1,776 by citations
- Astronomy and Astrophysics — 7 citations into it
Whom P. Mattila trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Bruno Franchi
- Scott D. Pauls
- Luigi Ambrosio
- Francesco Serra Cassano
- Raul Paolo Serapioni
- Loukas Grafakos
- Bruce Kleiner
- Yuval Peres
- Robert S. Strichartz
- Wilhelm Schlag
Who trusts P. Mattila overall
- Xavier Tolsa
- Fedor Nazarov
- Jonathan M. Fraser
- Joan Verdera
- Tuomas Orponen
- Kenneth J. Falconer
- Zoltán M. Balogh
- Renato Lucà
- Pablo Shmerkin
- Tuomas Hytönen
Papers from P. Mattila's perspective
Ordered by how strongly the researchers P. Mattila trusts endorse each paper. Same corpus, a different order for every researcher.
- Rectifiable sets in metric and Banach spaces
- An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
- Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric
- A notion of rectifiability modeled on Carnot groups
- Differentiating maps into L1, and the geometry of BV functions
- Geometric Measure Theory
- On the structure of finite perimeter sets in step 2 Carnot groups
- Rectifiability of Sets of Finite Perimeter in Carnot Groups: Existence of a Tangent Hyperplane
- Stratified Lie groups and potential theory for their sub-Laplacians
- Rectifiability and perimeter in the Heisenberg group
Their papers
- Projection and slicing theorems in Heisenberg groups (2012) — 51 citations
- Fourier Analysis and Hausdorff Dimension (2015) — 302 citations
- Characterizations of intrinsic rectifiability in Heisenberg groups (2010) — 66 citations
- AHLFORS-DAVID REGULAR SETS AND BILIPSCHITZ MAPS (2008) — 65 citations
- Hausdorff dimension, projections, and the Fourier transform (2004) — 107 citations
- BMO for nondoubling measures (2000) — 133 citations
- Removable sets for Lipschitz harmonic functions in the plane (2000) — 130 citations