Emanuel Milman

Applied Mathematics · 2005–2017

A researcher in the Science corpus: 15 papers; trusts 80 researchers and is trusted by 41 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 217 citations into it; #235 of 7,620 by trust here, #400 by citations
• Geometry and Topology — 82 citations into it; #400 of 7,422 by trust here, #585 by citations
• Statistics and Probability — 37 citations into it
• Astronomy and Astrophysics — 34 citations into it; #9,699 of 10,964 by trust here, #9,840 by citations
• Mathematical Physics — 28 citations into it; #5,079 of 8,562 by trust here, #6,594 by citations
• Computational Theory and Mathematics — 19 citations into it
• Molecular Biology — 19 citations into it
• Numerical Analysis — 19 citations into it

Whom Emanuel Milman trusts overall

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

1. Franck Barthe
2. Frank Morgan
3. Cyril Roberto
4. Shin-ichi Ohta
5. J. Lott
6. Alexander Koldobsky
7. Sergey G. Bobkov
8. Bo'az Klartag
9. Dario Cordero-Erausquin
10. A. V. Kolesnikov

Who trusts Emanuel Milman overall

1. A. V. Kolesnikov
2. Zoltán M. Balogh
3. Fabio Cavalletti
4. Joaquim Martín
5. W. Wylie
6. Yuansi Chen
7. Alexandru Krist'aly
8. Bo'az Klartag
9. Shin-ichi Ohta
10. Mario Milman

Papers from Emanuel Milman's perspective

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

1. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
2. Topics in Optimal Transportation
3. Brunn-Minkowski inequality
4. A Convexity Principle for Interacting Gases
5. On the geometry of metric measure spaces. II
6. Gradient Flows: In Metric Spaces and in the Space of Probability Measures
7. Transport inequalities, gradient estimates, entropy and Ricci curvature
8. Existence and uniqueness of monotone measure-preserving maps
9. Metric Structures for Riemannian and Non-Riemannian Spaces
10. Hypercontractivity of Hamilton-Jacobi equations

Their papers

• Local $L^p$-Brunn-Minkowski inequalities for $p<1$ (2017) — 94 citations
• Poincaré and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds (2017) — 54 citations
• The globalization theorem for the Curvature-Dimension condition (2016) — 189 citations
• Beyond traditional Curvature-Dimension I: new model spaces for isoperimetric and concentration inequalities in negative dimension (2014) — 68 citations
• Complemented Brunn–Minkowski inequalities and isoperimetry for homogeneous and non-homogeneous measures (2013) — 76 citations
• Brascamp–Lieb-Type Inequalities on Weighted Riemannian Manifolds with Boundary (2013) — 81 citations
• Centroid Bodies and the Logarithmic Laplace Transform - A Unified Approach (2011) — 102 citations
• Sharp Isoperimetric Inequalities and Model Spaces for Curvature-Dimension-Diameter Condition (2011) — 100 citations
• A generalization of Caffarelli’s contraction theorem via (reverse) heat flow (2010) — 69 citations
• Interpolating Thin-Shell and Sharp Large-Deviation Estimates for Lsotropic Log-Concave Measures (2010) — 142 citations
• Isoperimetric and Concentration Inequalities - Equivalence under Curvature Lower Bound (2009) — 82 citations
• On the role of convexity in functional and isoperimetric inequalities (2008) — 55 citations
• On the role of convexity in isoperimetry, spectral gap and concentration (2007) — 269 citations
• Dual mixed volumes and the slicing problem (2005) — 53 citations
• Generalized intersection bodies (2005) — 66 citations