Raul Paolo Serapioni

Applied Mathematics · 2001–2016

A researcher in the Science corpus: 8 papers; trusts 16 researchers and is trusted by 29 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 46 citations into it; #471 of 7,620 by trust here, #388 by citations
• Geometry and Topology — 40 citations into it; #1,734 of 7,422 by trust here, #1,324 by citations
• Mathematical Physics — 24 citations into it
• Computational Theory and Mathematics — 10 citations into it; #9,598 of 12,182 by trust here, #10,901 by citations
• Astronomy and Astrophysics — 8 citations into it; #1,811 of 10,964 by trust here, #4,580 by citations

Whom Raul Paolo Serapioni trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Bruno Franchi
2. Luigi Ambrosio
3. Francesco Serra Cassano
4. Scott D. Pauls
5. B. Kirchheim
6. Zoltán M. Balogh
7. J. Heinonen
8. Andrea Bonfiglioli
9. Giovanna Citti
10. Valentino Magnani

Who trusts Raul Paolo Serapioni overall

1. Valentino Magnani
2. Francesco Serra Cassano
3. Luigi Ambrosio
4. Bruno Franchi
5. Scott D. Pauls
6. P. Mattila
7. Jeff Cheeger
8. D. Danielli
9. F. Bigolin
10. Enrico Le Donne

Papers from Raul Paolo Serapioni's perspective

Ordered by how strongly the researchers Raul Paolo Serapioni trusts endorse each paper. Same corpus, a different order for every researcher.

1. Rectifiable sets in metric and Banach spaces
2. A notion of rectifiability modeled on Carnot groups
3. Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric
4. An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
5. Surface measures in Carnot-Carathéodory spaces
6. Size of characteristic sets and functions with prescribed gradient
7. Characteristic points, rectifiability and perimeter measure on stratified groups
8. Lectures on Lipschitz analysis
9. Geometric Measure Theory
10. Stratified Lie groups and potential theory for their sub-Laplacians

Their papers

• Area formula for centered Hausdorff measures in metric spaces (2015) — 47 citations
• Intrinsic Lipschitz Graphs Within Carnot Groups (2016) — 103 citations
• Differentiability of Intrinsic Lipschitz Functions within Heisenberg Groups (2011) — 89 citations
• Characterizations of intrinsic rectifiability in Heisenberg groups (2010) — 66 citations
• Regular submanifolds, graphs and area formula in Heisenberg groups (2007) — 145 citations
• On the structure of finite perimeter sets in step 2 Carnot groups (2003) — 239 citations
• Regular Hypersurfaces, Intrinsic Perimeter and Implicit Function Theorem in Carnot Groups (2003) — 161 citations
• Rectifiability and perimeter in the Heisenberg group (2001) — 411 citations