Lukas Parapatits

Applied Mathematics · 2013–2014

A researcher in the Science corpus: 3 papers; trusts 19 researchers and is trusted by 14 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 96 citations into it; #1,615 of 7,620 by trust here, #1,177 by citations
• Geometry and Topology — 36 citations into it; #4,323 of 7,422 by trust here, #3,358 by citations
• Mathematical Physics — 18 citations into it
• Astronomy and Astrophysics — 12 citations into it; #8,231 of 10,964 by trust here, #10,575 by citations
• Pharmacology — 12 citations into it
• Computational Theory and Mathematics — 11 citations into it
• Molecular Biology — 9 citations into it
• Computer Graphics and Computer-Aided Design — 5 citations into it

Whom Lukas Parapatits trusts overall

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

1. Monika Ludwig
2. Christoph Haberl
3. Erwin Lutwak
4. Franz E. Schuster
5. Deane Yang
6. Semyon Alesker
7. A. Bernig
8. Gaoyong Zhang
9. Alina Stancu
10. Peter M. Gruber

Who trusts Lukas Parapatits overall

1. Yiming Zhao
2. K. Boroczky
3. Monika Ludwig
4. Yong Huang
5. Christoph Haberl
6. Guangxian Zhu
7. Erwin Lutwak
8. Andrea Colesanti
9. Van Hoang Nguyen
10. Deane Yang

Papers from Lukas Parapatits's perspective

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

1. Minkowski Areas and Valuations
2. On the Lp affine isoperimetric inequalities
3. Projection bodies and valuations
4. Sharp Affine LP Sobolev Inequalities
5. Geometric Tomography: Parallel X-rays of planar convex bodies
6. Minkowski valuations intertwining the special linear group
7. Valuations on Sobolev spaces
8. A new ellipsoid associated with convex bodies
9. A characterization of Lp intersection bodies
10. Fourier Analysis in Convex Geometry

Their papers

• Valuations and Surface Area Measures (2014) — 69 citations
• SL(n)-Contravariant $L_p$-Minkowski Valuations (2014) — 74 citations
• The Centro-Affine Hadwiger Theorem (2013) — 149 citations