Monika Ludwig

Applied Mathematics · 2002–2020

A researcher in the Science corpus: 15 papers; trusts 50 researchers and is trusted by 56 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 209 citations into it; #72 of 7,620 by trust here, #83 by citations
• Geometry and Topology — 81 citations into it; #390 of 7,422 by trust here, #411 by citations
• Mathematical Physics — 45 citations into it; #6,959 of 8,562 by trust here, #7,007 by citations
• Computational Theory and Mathematics — 27 citations into it; #1,232 of 12,182 by trust here, #2,761 by citations
• Pharmacology — 24 citations into it
• Molecular Biology — 18 citations into it; #9,471 of 17,773 by trust here, #11,019 by citations
• Astronomy and Astrophysics — 11 citations into it
• Numerical Analysis — 11 citations into it; #3,465 of 3,586 by trust here, #3,057 by citations

Whom Monika Ludwig trusts overall

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

1. Christoph Haberl
2. Semyon Alesker
3. Erwin Lutwak
4. Franz E. Schuster
5. Deane Yang
6. Alina Stancu
7. Gaoyong Zhang
8. Joseph H. G. Fu
9. Richard J. Gardner
10. Neil S. Trudinger

Who trusts Monika Ludwig overall

1. Franz E. Schuster
2. Christoph Haberl
3. Yiming Zhao
4. Andrea Colesanti
5. Erwin Lutwak
6. Judit Abardia
7. Yong Huang
8. Semyon Alesker
9. Deane Yang
10. K. Boroczky

Papers from Monika Ludwig's perspective

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

1. A MASS-TRANSPORTATION APPROACH TO SHARP SOBOLEV AND GAGLIARDO-NIRENBERG INEQUALITIES
2. Geometric Measure Theory
3. Fourier Analysis in Convex Geometry
4. A new ellipsoid associated with convex bodies
5. Minkowski Areas and Valuations
6. Projection bodies and valuations
7. Affine Moser–Trudinger and Morrey–Sobolev inequalities
8. The Lp-Busemann–Petty Centroid Inequality
9. Geometric Tomography: Parallel X-rays of planar convex bodies
10. Information theoretic inequalities

Their papers

• Projection bodies and valuations (2002) — 191 citations
• A classification of $\operatorname{SL}(n)$ invariant valuations (2010) — 149 citations
• A homogeneous decomposition theorem for valuations on convex functions (2019) — 48 citations
• Fisher information and matrix-valued valuations (2011) — 64 citations
• The Hadwiger Theorem on Convex Functions, I (2020) — 51 citations
• Valuations on Convex Functions (2017) — 59 citations
• Anisotropic fractional perimeters (2013) — 81 citations
• Anisotropic fractional Sobolev norms (2013) — 66 citations
• Valuations on Sobolev spaces (2012) — 90 citations
• Sharp convex Lorentz–Sobolev inequalities (2011) — 104 citations
• Minkowski Areas and Valuations (2010) — 135 citations
• General affine surface areas (2009) — 212 citations
• A characterization of Lp intersection bodies (2006) — 162 citations
• Ellipsoids and matrix-valued valuations (2003) — 214 citations
• Valuations on Polytopes Containing the Origin in Their Interiors (2002) — 67 citations