Andrea Colesanti

Applied Mathematics · 2003–2020

A researcher in the Science corpus: 13 papers; trusts 28 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 138 citations into it; #1,634 of 7,620 by trust here, #1,285 by citations
• Geometry and Topology — 50 citations into it; #6,002 of 7,422 by trust here, #5,008 by citations
• Mathematical Physics — 17 citations into it; #4,537 of 8,562 by trust here, #5,088 by citations
• Molecular Biology — 15 citations into it
• Computational Theory and Mathematics — 12 citations into it; #11,068 of 12,182 by trust here, #9,804 by citations
• Numerical Analysis — 10 citations into it
• Astronomy and Astrophysics — 6 citations into it
• Statistics and Probability — 6 citations into it

Whom Andrea Colesanti trusts overall

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

1. Monika Ludwig
2. Erwin Lutwak
3. Semyon Alesker
4. K. Boroczky
5. Bastian Goldlücke
6. Keith Ball
7. Christoph Haberl
8. V. Milman
9. Deane Yang
10. Alexander Koldobsky

Who trusts Andrea Colesanti overall

1. Monika Ludwig
2. A. V. Kolesnikov
3. Hansol Hong
4. M. Fimiani
5. Sergey G. Bobkov
6. Bruno Galerne
7. F. Mussnig
8. Emanuel Milman
9. Christos Saroglou
10. Gian Paolo Leonardi

Papers from Andrea Colesanti's perspective

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

1. Fourier Analysis in Convex Geometry
2. Minkowski Areas and Valuations
3. Brunn-Minkowski inequality
4. Valuations on Sobolev spaces
5. Hermitian integral geometry
6. Geometric Measure Theory
7. The logarithmic Minkowski problem
8. Affine Moser–Trudinger and Morrey–Sobolev inequalities
9. The Centro-Affine Hadwiger Theorem
10. Fisher information and matrix-valued valuations

Their papers

• A homogeneous decomposition theorem for valuations on convex functions (2019) — 48 citations
• The Hadwiger Theorem on Convex Functions, I (2020) — 51 citations
• Valuations on Convex Functions (2017) — 59 citations
• The L-Minkowski problem for −n < p < 1 (2017) — 87 citations
• On the stability of Brunn–Minkowski type inequalities (2016) — 69 citations
• The Hadamard variational formula and the Minkowski problem for p-capacity (2015) — 103 citations
• The first variation of the total mass of log-concave functions and related inequalities (2013) — 72 citations
• Quermassintegrals of quasi-concave functions and generalized Prékopa–Leindler inequalities (2012) — 62 citations
• The Minkowski problem for the torsional rigidity (2008) — 69 citations
• Outer Minkowski content for some classes of closed sets (2008) — 131 citations
• Brunn–Minkowski inequalities for variational functionals and related problems (2005) — 118 citations
• Quasi–concave envelope of a function and convexity of level sets of solutions to elliptic equations (2003) — 49 citations
• The Brunn-Minkowski inequality for p-capacity of convex bodies (2003) — 104 citations