Aldo Pratelli

Applied Mathematics · 2007–2014

A researcher in the Science corpus: 14 papers; trusts 24 researchers and is trusted by 42 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 48 citations into it; #302 of 7,620 by trust here, #228 by citations
• Computational Theory and Mathematics — 36 citations into it; #6,751 of 12,182 by trust here, #6,463 by citations
• Mathematical Physics — 24 citations into it; #3,894 of 8,562 by trust here, #2,200 by citations
• Geometry and Topology — 12 citations into it; #4,623 of 7,422 by trust here, #4,440 by citations

Whom Aldo Pratelli trusts overall

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

1. Francesco Maggi
2. N. Fusco
3. S. Hencl
4. Luigi Ambrosio
5. Antoine Henrot
6. Robert J. McCann
7. B. Kawohl
8. Cédric Villani
9. Dario Cordero-Erausquin
10. Alessio Figalli

Who trusts Aldo Pratelli overall

1. Alessio Figalli
2. N. Fusco
3. Francesco Maggi
4. Lorenzo Brasco
5. Marco Cicalese
6. A. V. Kolesnikov
7. Luigi Ambrosio
8. Van Hoang Nguyen
9. Max Fathi
10. Gian Paolo Leonardi

Papers from Aldo Pratelli's perspective

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

1. Functions of Bounded Variation and Free Discontinuity Problems
2. Existence and uniqueness of monotone measure-preserving maps
3. Topics in Optimal Transportation
4. The sharp quantitative isoperimetric inequality
5. Brunn-Minkowski inequality
6. A MASS-TRANSPORTATION APPROACH TO SHARP SOBOLEV AND GAGLIARDO-NIRENBERG INEQUALITIES
7. Some methods for studying stability in isoperimetric type problems
8. A mass transportation approach to quantitative isoperimetric inequalities
9. A quantitative version of the isoperimetric inequality : the anisotropic case
10. On a weighted total variation minimization problem

Their papers

• A mass transportation approach to quantitative isoperimetric inequalities (2010) — 448 citations
• Sharp Stability of Some Spectral Inequalities (2012) — 58 citations
• Existence of minimizers for spectral problems (2011) — 91 citations
• On the Cheeger sets in strips and non-convex domains (2014) — 51 citations
• Lipschitz Regularity of the Eigenfunctions on Optimal Domains (2013) — 54 citations
• Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variation (2013) — 85 citations
• Existence of isoperimetric regions in R n with density (2011) — 70 citations
• On the isoperimetric deficit in Gauss space (2011) — 105 citations
• Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms (2011) — 54 citations
• A refined Brunn-Minkowski inequality for convex sets (2009) — 122 citations
• Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities (2009) — 113 citations
• The sharp Sobolev inequality in quantitative form (2009) — 171 citations
• The sharp quantitative isoperimetric inequality (2008) — 444 citations
• The sharp quantitative Sobolev inequality for functions of bounded variation (2007) — 62 citations