Michael Goldman

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All published works

Action	Title	Year	Authors
+	An exterior optimal transport problem	2025	Jules Candau-Tilh Michaël Goldman Benoît Merlet
+	New dimensional bounds for a branched transport problem	2024	Alessandro Cosenza Michaël Goldman Melanie Koser
+ PDF Chat	Uniform $$C^{1,\alpha }$$-Regularity for Almost-Minimizers of Some Nonlocal Perturbations of the Perimeter	2024	Michaël Goldman Benoît Merlet Marc Pegon
+	Set-decomposition of normal rectifiable $G$-chains via an abstract decomposition principle	2024	Michaël Goldman Benoît Merlet
+ PDF Chat	A charged liquid drop model with Willmore energy	2024	Michaël Goldman Matteo Novaga Ruffini Berardo
+ PDF Chat	Asymptotics for Random Quadratic Transportation Costs	2024	Michaël Goldman Dario Trevisan Martin Huesmann
+ PDF Chat	Partial regularity for optimal transport with $p$-cost away from fixed points	2024	Michaël Goldman Lukas Koch
+ PDF Chat	Subadditivity and optimal matching of unbounded samples	2024	Emanuele Caglioti Michaël Goldman Francesca Pieroni Dario Trevisan
+ PDF Chat	On the concave one-dimensional random assignment problem and Young integration theory	2024	Dario Trevisan Michaël Goldman
+	Rigidity of the ball for an isoperimetric problem with strong capacitary repulsion	2024	Michaël Goldman Matteo Novaga Berardo Ruffini
+ PDF Chat	Optimal transport methods for combinatorial optimization over two random point sets	2023	Michaël Goldman Dario Trevisan
+	COMPACTNESS AND STRUCTURE OF ZERO-STATES FOR UNORIENTED AVILES–GIGA FUNCTIONALS	2023	Michaël Goldman Benoït Merlet Marc Pegon Sylvia Serfaty
+ PDF Chat	A deformation theorem for tensor flat chains and applications (complement to "Tensor rectifiable G-flat chains")	2023	Michaël Goldman Benoït Merlet
+	From energy bounds to dimensional estimates in a branched transport model for type-I superconductors	2023	Guido De Philippis Michael Goldman Ruffini Berardo
+	On the concave one-dimensional random assignment problem and Young integration theory	2023	Michaël Goldman Dario Trevisan
+	An exterior optimal transport problem	2023	Jules Candau-Tilh Michaël Goldman Benoît Merlet
+	Non-convex functionals penalizing simultaneous oscillations along two independent directions: structure of the defect measure	2023	Michaël Goldman Benoït Merlet
+	Almost sharp rates of convergence for the average cost and displacement in the optimal matching problem	2023	Michaël Goldman Martin Huesmann Félix Otto
+ PDF Chat	Tensor rectifiable G-flat chains	2022	Michaël Goldman Benoït Merlet
+ PDF Chat	A fluctuation result for the displacement in the optimal matching problem	2022	Michaël Goldman Martin Huesmann
+ PDF Chat	A two-point function approach to connectedness of drops in convex potentials	2022	Guido De Philippis Michaël Goldman
+ PDF Chat	Existence and stability results for an isoperimetric problem with a non-local interaction of Wasserstein type	2022	Jules Candau-Tilh Michaël Goldman
+ PDF Chat	On the quadratic random matching problem in two-dimensional domains	2022	Luigi Ambrosio Michaël Goldman Dario Trevisan
+	Rigidity of the ball for an isoperimetric problem with strong capacitary repulsion	2022	Michaël Goldman Matteo Novaga Berardo Ruffini
+	Uniform $C^{1,α}$-regularity for almost-minimizers of some nonlocal perturbations of the perimeter	2022	Michaël Goldman Benoît Merlet Marc Pegon
+	Optimal transport methods for combinatorial optimization over two random point sets	2022	Michaël Goldman Dario Trevisan
+ PDF Chat	Compactness and structure of zero-states for unoriented Aviles-Giga functionals	2022	Michaël Goldman Benoït Merlet Marc Pegon Sylvia Serfaty
+	Set-decomposition of normal rectifiable G-chains via an abstract decomposition principle	2022	Michaël Goldman Benoït Merlet
+	Tensor rectifiable G-flat chains	2022	Michaël Goldman Benoït Merlet
+	A deformation theorem for tensor flat chains and applications (complement to ''Tensor rectifiable G-flat chains'')	2022	Michaël Goldman Benoït Merlet
+	Reifenberg flatness for almost minimizers of the perimeter under minimal assumptions	2021	Michaël Goldman Matteo Novaga Berardo Ruffini
+ PDF Chat	Compactness and structure of zero-states for unoriented Aviles-Giga functionals	2021	Michaël Goldman Benoït Merlet Marc Pegon Sylvia Serfaty
+ PDF Chat	Convergence of asymptotic costs for random Euclidean matching problems	2021	Michaël Goldman Dario Trevisan
+ PDF Chat	Quantitative Linearization Results for the <scp>Monge‐Ampère</scp> Equation	2021	Michaël Goldman Martin Huesmann Félix Otto
+ PDF Chat	Reifenberg flatness for quasi-minimizers of the perimeter under minimal assumptions	2021	Michael Goldman Matteo Novaga Berardo Ruffini
+ PDF Chat	A Ginzburg–Landau model with topologically induced free discontinuities	2021	Michael Goldman Benoït Merlet Vincent Millot
+	An $\varepsilon$-regularity result for optimal transport maps between continuous densities	2021	Michaël Goldman
+ PDF Chat	Non-convex functionals penalizing simultaneous oscillations along independent directions: rigidity estimates	2021	Michaël Goldman Benoït Merlet
+	Reifenberg flatness for almost-minimizers of the perimeter under minimal assumptions	2021	Michael Goldman Matteo Novaga Berardo Ruffini
+	Existence and stability results for an isoperimetric problem with a non-local interaction of Wasserstein type	2021	Jules Candau-Tilh Michael Goldman
+	A fluctuation result for the displacement in the optimal matching problem	2021	Michaël Goldman Martin Huesmann
+ PDF Chat	Self-similar minimizers of a branched transport functional	2020	Michaël Goldman
+ PDF Chat	A variational proof of partial regularity for optimal transportation maps	2020	Michael Goldman Félix Otto
+	An ε−regularity result for optimal transport maps between continuous densities	2020	Michael Goldman
+	An $ε$--regularity result for optimal transport maps between continuous densities	2020	Michael Goldman
+	A variational approach to regularity theory in optimal transportation.	2019	Michaël Goldman
+ PDF Chat	A variational approach to regularity theory in optimal transportation	2019	Michael Goldman
+ PDF Chat	On the optimality of stripes in a variational model with non-local interactions	2019	Michaël Goldman Eris Runa
+ PDF Chat	Quantitative estimates for bending energies and applications to non-local variational problems	2019	Michaël Goldman Matteo Novaga Matthias Röger
+ PDF Chat	A variational proof of partial regularity for optimal transportation maps	2019	Michaël Goldman Félix Otto
+ PDF Chat	A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation	2019	Michael Goldman Lucia De Luca Marta Strani
+	Quantitative linearization results for the Monge-Ampère equation	2019	Michaël Goldman Martin Huesmann Félix Otto
+ PDF Chat	Recent results on non-convex functionals penalizing oblique oscillations	2019	Michaël Goldman Benoît Merlet
+ PDF Chat	A gradient flow approach to relaxation rates for the multi-dimensional Cahn–Hilliard equation	2018	Lucia De Luca Michaël Goldman Marta Strani
+ PDF Chat	On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint	2018	Michaël Goldman Matteo Novaga Berardo Ruffini
+	A large-scale regularity theory for the Monge-Ampere equation with rough data and application to the optimal matching problem	2018	Michaël Goldman Martin Huesmann Félix Otto
+ PDF Chat	A branched transport limit of the Ginzburg-Landau functional	2018	Sergio Conti Michaël Goldman Félix Otto Sylvia Serfaty
+	A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation	2018	Michael Goldman Lucia De Luca Marta Strani
+	A two-point function approach to connectedness of drops in convex potentials	2018	Michael Goldman Guido De Philippis
+ PDF Chat	Equilibrium shapes of charged droplets and related problems: (mostly) a review	2017	Michaël Goldman Berardo Ruffini
+	Equilibrium shapes of charged droplets and related problems: (mostly) a review	2017	Michaël Goldman Berardo Ruffini
+ PDF Chat	Phase Segregation for Binary Mixtures of Bose--Einstein Condensates	2017	Michaël Goldman Benoït Merlet
+	A Ginzburg-Landau model with topologically induced free discontinuities	2017	Michaël Goldman Benoït Merlet Vincent Millot
+	Equilibrium shapes of charged droplets and related problems: (mostly) a review	2017	Michaël Goldman Berardo Ruffini
+ PDF Chat	New Bounds for the Inhomogenous Burgers and the Kuramoto-Sivashinsky Equations	2015	Michaël Goldman Marc Josien Félix Otto
+ PDF Chat	Nucleation barriers at corners for a cubic-to-tetragonal phase transformation	2015	Peter Bella Michaël Goldman
+	Phase segregation for binary mixtures of Bose-Einstein Condensates	2015	Michaël Goldman Benoït Merlet
+ PDF Chat	Study of Island Formation in Epitaxially Strained Films on Unbounded Domains	2015	Peter Bella Michaël Goldman Barbara Zwicknagl
+	New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations	2015	Michaël Goldman Marc Josien Félix Otto
+ PDF Chat	Sharp interface limit for two components Bose−Einstein condensates	2015	Michaël Goldman Jimena Royo-Letelier
+ PDF Chat	Nucleation barriers at corners for cubic-to-tetragonal phase transformation	2015	Peter Bella Michaël Goldman
+ PDF Chat	Sharp interface limit for two components Bose-Einstein condensates	2015	Michaël Goldman Jimena Royo-Letelier
+	New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations	2015	Michaël Goldman Marc Josien Félix Otto
+	Phase segregation for binary mixtures of Bose-Einstein Condensates	2015	Michaël Goldman Benoït Merlet
+ PDF Chat	Existence and Stability for a Non-Local Isoperimetric Model of Charged Liquid Drops	2014	Michaël Goldman Matteo Novaga Berardo Ruffini
+ PDF Chat	Fine properties of the subdifferential for a class of one-homogeneous functionals	2014	Antonin Chambolle Michael Goldman Matteo Novaga
+ PDF Chat	The $\Gamma$-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension	2014	Giovanni Bellettini Antonin Chambolle Michaël Goldman
+	Existence and stability for a non-local isoperimetric model of charged liquid drops	2013	Michaël Goldman Matteo Novaga Berardo Ruffini
+ PDF Chat	The Γ-limit for singularly perturbed functionals of Perona–Malik type in arbitrary dimension	2013	Giovanni Bellettini Antonin Chambolle Michaël Goldman
+ PDF Chat	A Geometric Approach for Convexity in Some Variational Problem in the Gauss Space	2013	Michaël Goldman
+ PDF Chat	Existence and qualitative properties of isoperimetric sets in periodic media	2013	Antonin Chambolle Michaël Goldman Matteo Novaga
+	Existence and stability for a non-local isoperimetric model of charged liquid drops	2013	Michaël Goldman Matteo Novaga Berardo Ruffini
+	The $Γ$-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension	2013	Giovanni Bellettini Antonin Chambolle Michaël Goldman
+ PDF Chat	Plane-Like Minimizers and Differentiability of the Stable Norm	2012	Antonin Chambolle Michaël Goldman Matteo Novaga
+ PDF Chat	Representation, relaxation and convexity for variational problems in Wiener spaces	2012	Antonin Chambolle Michaël Goldman Matteo Novaga
+ PDF Chat	Approximation and relaxation of perimeter in the Wiener space	2012	Michaël Goldman Matteo Novaga
+	Fine properties of the subdifferential for a class of one-homogeneous functionals	2012	Antonin Chambolle Michaël Goldman Matteo Novaga
+	Existence and qualitative properties of isoperimetric sets in periodic media	2012	Antonin Chambolle Michaël Goldman Matteo Novaga
+	On some applications of functions of bounded variation in finite and infinite dimension	2011	Michaël Goldman
+ PDF Chat	Volume-constrained minimizers for the prescribed curvature problem in periodic media	2011	Michaël Goldman Matteo Novaga
+	Volume-constrained minimizers for the prescribed curvature problem in periodic media	2011	Michaël Goldman Matteo Novaga
+ PDF Chat	Continuous Primal-Dual Methods for Image Processing	2011	Michael Goldman
+	Volume-constrained minimizers for the prescribed curvature problem in periodic media	2011	Michael Goldman Matteo Novaga
+	A geometric approach for convexity in some variational problem in the Gauss space	2011	Michael Goldman
+	Quelques applications des fonctions a variation bornée en dimension finie et infinie	2011	Michael Goldman
+	B-29 Flightcrew oxygen saturation at altitude	1988	Kurt Bernhisel Michele Sasmor Michaël Goldman Ken Casey F Stocker Thomas

Common Coauthors

Coauthor	Papers Together
Matteo Novaga	21
Benoït Merlet	21
Berardo Ruffini	12
Félix Otto	10
Antonin Chambolle	9
Dario Trevisan	8
Martin Huesmann	7
Marc Pegon	5
Jules Candau-Tilh	4
Sylvia Serfaty	4
Giovanni Bellettini	3
Guido De Philippis	3
Marc Josien	3
Peter Bella	3
Marta Strani	3
Vincent Millot	2
Ruffini Berardo	2
Jimena Royo-Letelier	2
Lucia De Luca	2
Barbara Zwicknagl	1
Alessandro Cosenza	1
Emanuele Caglioti	1
Michele Sasmor	1
Kurt Bernhisel	1
Francesca Pieroni	1
Melanie Koser	1
Sergio Conti	1
Eris Runa	1
Matthias Röger	1
F Stocker Thomas	1
Lukas Koch	1
Ken Casey	1
Lucia De Luca	1
Luigi Ambrosio	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Volume-constrained minimizers for the prescribed curvature problem in periodic media	2011	Michaël Goldman Matteo Novaga	12
+ PDF Chat	Topics in Optimal Transportation	2003	Cédric Villani	12
+ PDF Chat	Existence and Stability for a Non-Local Isoperimetric Model of Charged Liquid Drops	2014	Michaël Goldman Matteo Novaga Berardo Ruffini	12
+ PDF Chat	A Selection Principle for the Sharp Quantitative Isoperimetric Inequality	2012	Marco Cicalese Gian Paolo Leonardi	11
+ PDF Chat	Scaling hypothesis for the Euclidean bipartite matching problem	2014	Sergio Caracciolo Carlo Lucibello Giorgio Parisi Gabriele Sicuro	9
+ PDF Chat	Minimality via Second Variation for a Nonlocal Isoperimetric Problem	2013	E. Acerbi Nicola Fusco Massimiliano Morini	9
+ PDF Chat	On an Isoperimetric Problem with a Competing Nonlocal Term II: The General Case	2013	Cyrill B. Muratov Hans Knüpfer	9
+ PDF Chat	On an Isoperimetric Problem with a Competing Nonlocal Term I: The Planar Case	2013	Hans Knüpfer Cyrill B. Muratov	8
+	On optimal matchings	1984	Miklós Ajtai János Komlós Gábor Tusnády	8
+ PDF Chat	A PDE approach to a 2-dimensional matching problem	2018	Luigi Ambrosio Federico Stra Dario Trevisan	8
+	Optimal transport from Lebesgue to Poisson	2013	Martin Huesmann Karl‐Theodor Sturm	7
+ PDF Chat	The sharp quantitative isoperimetric inequality	2008	Nicola Fusco Francesco Maggi Aldo Pratelli	7
+	Sets of Finite Perimeter and Geometric Variational Problems	2012	Francesco Maggi	7
+	Optimal Transport for Applied Mathematicians	2015	Filippo Santambrogio	7
+	Upper and Lower Bounds for Stochastic Processes : Modern Methods and Classical Problems	2014	Michel Talagrand	7
+ PDF Chat	Low Density Phases in a Uniformly Charged Liquid	2016	Hans Knüpfer Cyrill B. Muratov Matteo Novaga	6
+	On Optimal Matching of Gaussian Samples	2019	Michel Ledoux	6
+ PDF Chat	Combinatorial Optimization Over Two Random Point Sets	2013	Franck Barthe Charles Bordenave	6
+	Stability in the Isoperimetric Problem for Convex or Nearly Spherical Domains in R n	1989	Bent Fuglede	6
+ PDF Chat	Isoperimetry and Stability Properties of Balls with Respect to Nonlocal Energies	2014	Alessio Figalli Nicola Fusco Francesco Maggi V. Millot Massimiliano Morini	6
+ PDF Chat	Pairings between measures and bounded functions and compensated compactness	1983	Gabriele Anzellotti	6
+ PDF Chat	Partial regularity for optimal transport maps	2014	Guido De Philippis Alessio Figalli	6
+	Gradient Flows: In Metric Spaces and in the Space of Probability Measures	2005	Luigi Ambrosio Nicola Gigli Giuseppe Savaré	5
+	ON THE APPROXIMATION OF FREE DISCONTINUITY PROBLEMS	1992	Luigi Ambrosio Vincenzo Maria Tortorelli	5
+	Γ-convergence for beginners	2002	Andrea Braides	5
+ PDF Chat	On well-posedness of variational models of charged drops	2016	Cyrill B. Muratov Matteo Novaga	5
+ PDF Chat	APPROXIMATION OF FREE-DISCONTINUITY PROBLEMS	2002	Andrea Braides	5
+ PDF Chat	Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals	1977	Richard Schoen L. Simon F. J. Almgren	5
+ PDF Chat	Stability in the isoperimetric problem for convex or nearly spherical domains in ${\bf R}\sp n$	1989	Bent Fuglede	5
+	Symmetrization, symmetric stable processes, and Riesz capacities	2003	Dimitrios Betsakos	5
+ PDF Chat	Constructive quantization: Approximation by empirical measures	2013	Steffen Dereich Michael Scheutzow Reik Schottstedt	5
+ PDF Chat	Partial regularity of Brenier solutions of the Monge-Ampère equation	2010	Alessio Figalli Young‐Heon Kim	5
+	Functionals with linear growth in the calculus of variations. I.	1979	Mariano Giaquinta Giuseppe Modica Jiří Souček	5
+	Compactness methods in the theory of homogenization	1987	Marco Avellaneda Fang‐Hua Lin	5
+ PDF Chat	Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem	2009	Antonin Chambolle Gilles Thouroude	5
+ PDF Chat	Binary Bose-Einstein condensate mixtures in weakly and strongly segregated phases	1998	Ping Ao S. T. Chui	4
+	Operateurs Maximaux Monotones - Et Semi-Groupes De Contractions Dans Les Espaces De Hilbert	1973	Haı̈m Brezis	4
+ PDF Chat	Droplet Minimizers of an Isoperimetric Problem with Long‐Range Interactions	2013	Marco Cicalese Emanuele Spadaro	4
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	4
+	A mass transportation approach to quantitative isoperimetric inequalities	2010	Alessio Figalli Francesco Maggi Aldo Pratelli	4
+	A large-scale regularity theory for the Monge-Ampere equation with rough data and application to the optimal matching problem	2018	Michaël Goldman Martin Huesmann Félix Otto	4
+	Boundaries of Caccioppoli sets with Hölder-continuois normal vector.	1982	Italo Tamanini	4
+ PDF Chat	Quantitative Stochastic Homogenization and Large-Scale Regularity	2019	Scott N. Armstrong Tuomo Kuusi Jean-Christophe Mourrat	4
+ PDF Chat	Regularity of Minimizers for a Model of Charged Droplets	2022	Guido De Philippis Jonas Hirsch Giulia Vescovo	4
+ PDF Chat	Dual-species Bose-Einstein condensate of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Rb</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>87</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Cs</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>133</mml:mn></mml:mrow></mml:…	2011	Daniel McCarron H. W. Cho Daniel L. Jenkin Michael P. Köppinger Simon L. Cornish	4
+	Nonexistence of a Minimizer for Thomas–Fermi–Dirac–von Weizsäcker Model	2013	Jianfeng Lu Félix Otto	4
+	On the Shape of Liquid Drops and Crystals in the Small Mass Regime	2010	Alessio Figalli Francesco Maggi	4
+	Fully Nonlinear Elliptic Equations	1995	Luis Caffarelli Xavier Cabré	4
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	4
+	Convex viscosity solutions and state constraints	1997	Olivier Alvarez Jean Michel Lasry Pierre‐Louis Lions	4