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A mass transportation approach to quantitative isoperimetric inequalities

Inventiones mathematicae, 2010-10, Vol.182 (1), p.167-211

2010

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Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations

Duke mathematical journal, 2011-02, Vol.156 (2), p.229-271

2011

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On the Shape of Liquid Drops and Crystals in the Small Mass Regime

Archive for rational mechanics and analysis, 2011-07, Vol.201 (1), p.143-207

2011

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A transportation approach to universality in random matrix theory

Bollettino della Unione matematica italiana (2008), 2017-03, Vol.10 (1), p.55-74

Figalli, A.

2017

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Strong Sard conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3

Inventiones mathematicae, 2022-07, Vol.229 (1), p.395-448

2022

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Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models

Archive for rational mechanics and analysis, 2020-07, Vol.237 (1), p.299-345

2020

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A Sharp Stability Result for the Relative Isoperimetric Inequality Inside Convex Cones

The Journal of geometric analysis, 2013-04, Vol.23 (2), p.938-969

2013

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On the isoperimetric problem for radial log-convex densities

Calculus of variations and partial differential equations, 2013-11, Vol.48 (3-4), p.447-489

2013

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Sobolev Regularity for the Monge−Ampère Equation, With Application to the Semigeostrophic Equations

Journal of mathematical sciences (New York, N.Y.), 2014-01, Vol.196 (2), p.175-183

Figalli, A.

2014

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A refined Brunn–Minkowski inequality for convex sets

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2009-11, Vol.26 (6), p.2511-2519

2009

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Closing Aubry Sets II

Communications on pure and applied mathematics, 2015-03, Vol.68 (3), p.345-412

2015

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NEARLY ROUND SPHERES LOOK CONVEX

American journal of mathematics, 2012-02, Vol.134 (1), p.109-139

2012

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Generic hyperbolicity of Aubry sets on surfaces

Inventiones mathematicae, 2015-04, Vol.200 (1), p.201-261

2015

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Closing Aubry Sets I

Communications on pure and applied mathematics, 2015-02, Vol.68 (2), p.210-285

2015

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WKB Analysis of Bohmian Dynamics

Communications on pure and applied mathematics, 2014-04, Vol.67 (4), p.581-620

2014

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Absolute continuity of Wasserstein geodesics in the Heisenberg group

Journal of functional analysis, 2008-07, Vol.255 (1), p.133-141

2008

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Confinement in nonlocal interaction equations

Nonlinear analysis, 2012, Vol.75 (2), p.550-558

2012

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Transport Maps for β-Matrix Models and Universality

Communications in mathematical physics, 2015-09, Vol.338 (2), p.589-619

2015

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Isoperimetry and Stability Properties of Balls with Respect to Nonlocal Energies

Communications in mathematical physics, 2015-05, Vol.336 (1), p.441-507

2015

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Non-local gradient dependent operators

Advances in mathematics (New York. 1965), 2012-07, Vol.230 (4-6), p.1859-1894

2012

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A geometric approach to correlation inequalities in the plane

Annales de l'I.H.P. Probabilités et statistiques, 2014-02, Vol.50 (1)

2014

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Partial Differential Equations and Geometric Measure Theory: Cetraro, Italy 2014

1st Edition 2018, 2018

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Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variation

Advances in mathematics (New York. 1965), 2013-08, Vol.242, p.80-101

2013

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A sharp Freiman type estimate for semisums in two and three dimensional Euclidean spaces

Annales scientifiques de l'École normale supérieure, 2021, Vol.54 (1), p.235-257

2021

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A note on interior $$W^{2,1+ \varepsilon }$$ estimates for the Monge–Ampère equation

Mathematische annalen, 2013-09, Vol.357 (1), p.11-22

2013

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A mass transportation approach to quantitative isoperimetric inequalities

Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations

On the Shape of Liquid Drops and Crystals in the Small Mass Regime

A transportation approach to universality in random matrix theory

Strong Sard conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3

Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models

A Sharp Stability Result for the Relative Isoperimetric Inequality Inside Convex Cones

On the isoperimetric problem for radial log-convex densities

Sobolev Regularity for the Monge−Ampère Equation, With Application to the Semigeostrophic Equations

A refined Brunn–Minkowski inequality for convex sets

Closing Aubry Sets II

NEARLY ROUND SPHERES LOOK CONVEX

Generic hyperbolicity of Aubry sets on surfaces

Closing Aubry Sets I

WKB Analysis of Bohmian Dynamics

Absolute continuity of Wasserstein geodesics in the Heisenberg group

Confinement in nonlocal interaction equations

Transport Maps for β-Matrix Models and Universality

Isoperimetry and Stability Properties of Balls with Respect to Nonlocal Energies

Non-local gradient dependent operators

A geometric approach to correlation inequalities in the plane

Partial Differential Equations and Geometric Measure Theory: Cetraro, Italy 2014

Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variation

A sharp Freiman type estimate for semisums in two and three dimensional Euclidean spaces

A note on interior $$W^{2,1+ \varepsilon }$$ estimates for the Monge–Ampère equation

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