V. Milman

Applied Mathematics · 2000–2015

A researcher in the Science corpus: 13 papers; trusts 8 researchers and is trusted by 21 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 16 citations into it; #532 of 7,620 by trust here, #513 by citations
• Geometry and Topology — 8 citations into it; #3,798 of 7,422 by trust here, #2,384 by citations

Whom V. Milman trusts overall

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

1. Shiri Artstein-Avidan
2. Misha Gromov
3. Bo'az Klartag
4. K. Boroczky
5. C. Viterbo
6. Sergey G. Bobkov
7. Shiri Artstein-Avidan and Vitali Milman
8. Rolf Schneider
9. Richard J. Gardner
10. Robert J. McCann

Who trusts V. Milman overall

1. Sergey G. Bobkov
2. Bo'az Klartag
3. Matthieu Fradelizi
4. Shiri Artstein-Avidan
5. Andrea Colesanti
6. Monika Ludwig
7. Mathieu Meyer
8. Rafal Latala
9. Shahar Mendelson
10. Roman Vershynin

Papers from V. Milman's perspective

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

1. Existence and uniqueness of monotone measure-preserving maps
2. The Santalo point of a function, and a functional form of the Santalo inequality
3. A characterization of the duality mapping for convex bodies
4. Chapter 17 - Euclidean Structure in Finite Dimensional Normed Spaces
5. Metric and isoperimetric problems in symplectic geometry
6. Abstract Convexity and Global Optimization
7. The concept of duality in convex analysis, and the characterization of the Legendre transform
8. On Convex Bodies and Log-Concave Probability Measures with Unconditional Basis
9. Concentration of the information in data with log-concave distributions
10. Metric Structures for Riemannian and Non-Riemannian Spaces

Their papers

• Geometry of Log-concave Functions and Measures (2005) — 170 citations
• Symmetrization and Isotropic Constants of Convex Bodies (2004) — 48 citations
• The concept of duality in convex analysis, and the characterization of the Legendre transform (2009) — 130 citations
• The concept of duality for measure projections of convex bodies (2008) — 57 citations
• Asymptotic Geometric Analysis, Part I (2015) — 299 citations
• Mixed integrals and related inequalities (2012) — 58 citations
• Hidden structures in the class of convex functions and a new duality transform (2011) — 66 citations
• The "M"-ellipsoid, symplectic capacities and volume (2006) — 54 citations
• Functional analysis : an introduction (2004) — 119 citations
• The Santalo point of a function, and a functional form of the Santalo inequality (2004) — 196 citations
• Duality of metric entropy (2004) — 67 citations
• Chapter 17 - Euclidean Structure in Finite Dimensional Normed Spaces (2001) — 83 citations
• Concentration Property on Probability Spaces (2000) — 84 citations